# Statistics MCQ Questions & Answers

Statistics MCQs : This section focuses on the "Statistics". These Multiple Choice Questions (MCQs) should be practiced to improve the Statistics skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

Which of the following can not be determined graphically?

A. Mean
B. Median
C. Mode
D. None of these

Question 2

Statistics branches include

A. Applied Statistics
B. Mathematical Statistics
C. Industry Statistics
D. Both A and B

Question 3

To enhance a procedure the control charts and procedures of descriptive statistics are classified into

A. Behavioural Tools
B. Serial Tools
C. Industry Statistics
D. Statistical Tools

Question 4

A method used to examine inflation rate anticipation, unemployment rate, and capacity utilization to produce products is classified as

A. Data Exporting Technique
B. Data Importing Technique
C. Forecasting Technique
D. Data Supplying Technique

Question 5

The variables whose calculation is done according to the height, length, and weight are categorised as

A. Discrete Variables
B. Flowchart Variables
C. Measuring Variables
D. Continuous Variables

Question 6

Graphical and numerical methods are specialized process utilized in

A. Education Statistics
B. Descriptive Statistics
D. Social Statistics

Question 7

The scale applied in statistics which imparts a difference of magnitude and proportions is considered as

A. Exponential Scale
B. Goodness Scale
C. Ratio Scale
D. Satisfactory Scale

Question 8

Sample statistics are also represented as

A. Lower Case Greek Letter
B. Roman Letters
C. Associated Roman Alphabets
D. Upper Case Greek Letter

Question 9

A numerical value used as a summary measure for a sample, such as a sample mean, is known as a

A. Population Parameter
B. Sample Parameter
C. Sample Statistic
D. Population Mean

Question 10

Individual respondents, focus groups, and panels of respondents are categorised as

A. Primary Data Sources
B. Secondary Data Sources
C. Itemized Data Sources
D. Pointed Data Sources

Question 11

Review of performance appraisal, labour turnover rates, planning of incentives, and training programs and are examples of

A. Statistics in Production
B. Statistics in Marketing
C. Statistics in Finance
D. Statistics in Personnel Management

Question 12

A numerical value used as a summary measure for a sample, such as a sample mean, is known as a_______

A. Population Parameter
B. Sample Parameter
C. Sample Statistic
D. Population Mean

Question 13

Statistics branches include___________

A. Applied Statistics
B. Mathematical Statistics
C. Industry Statistics
D. Both A and B

Question 14

To enhance a procedure the control charts and procedures of descriptive statistics are classified into_______

A. Behavioural Tools
B. Serial Tools
C. Industry Statistics
D. Statistical Tools

Question 15

Sample statistics are also represented as__________

A. Lower Case Greek Letter
B. Roman Letters
C. Associated Roman Alphabets
D. Upper Case Greek Letter

Question 16

Individual respondents, focus groups, and panels of respondents are categorized as_________

A. Primary Data Sources
B. Secondary Data Sources
C. Itemised Data Sources
D. Pointed Data Sources

Question 17

The variables whose calculation is done according to the weight, height and length and weight are knownas:_______

A. Flowchart Variables
B. Discrete Variables
C. Continuous Variables
D. Measuring Variables

Question 18

A method used to examine inflation rate anticipation, unemployment rate and capacity utilisation to produceproducts is classified as________

A. Data Exporting Technique
B. Data Importing Technique
C. Forecasting Technique
D. Data Supplying Technique

Question 19

Graphical and numerical methods are specialized processes utilized in_________

A. Education Statistics
B. Descriptive Statistics
D. Social Statistics

Question 20

The scale applied in statistics which imparts a difference of magnitude and proportions is considered as_____

A. Exponential Scale
B. Goodness Scale
C. Ratio Scale
D. Satisfactory Scale

Question 21

Review of performance appraisal, labour turnover rates, planning of incentives and training programs and areexamples of ___________

A. Statistics in Production
B. Statistics in Marketing
C. Statistics in Finance
D. Statistics in Personnel Management

Question 22

The number of accidents in a city during 2010 is__________

A. Discrete variable
B. Continuous variable
C. Qualitative variable
D. Constant

Question 23

The mean of a distribution is 23, the median is 24, and the mode is 25.5. It is most likely that this distributionis__________

A. Positively Skewed
B. Symmetrical
C. Asymptotic
D. Negatively Skewed

Question 24

According to the empirical rule, approximately what percent of the data should lie within $\mu \pm2\sigma$?_______

A. 75%
B. 68%
C. 99.70%
D. 90%

Question 25

Census reports used as a source of data is________

A. Primary source
B. Secondary source
C. Organized data
D. None

Question 26

The first hand and unorganized form of data is called____________

A. Secondary data
B. Organized data
C. Primary data
D. None of these

Question 27

If a distribution is abnormally tall and peaked, then is can be said that the distribution is__________

A. Leptokurtic
B. Pyrokurtic
C. Platykurtic
D. Mesokurtic

Question 28

A chance variation in an observational process is____________

A. Dispersion/ Variability
B. Measurement error
C. Random error
D. Instrument error

Question 29

Given $X_1=12,X_2=19,X_3=10,X_4=7$, then $\sum_{i=1}^4 X_i$ equals?________

A. 36
B. 48
C. 41
D. 29

Question 30

Questionnaire survey method is used to collect____________

A. Secondary data
B. Qualitative variable
C. Primary data
D. None of these

Question 31

The mean of a distribution is 14 and the standard deviation is 5. What is the value of the coefficient ofvariation?____________

A. 60.40%
B. 48.30%
C. 35.70%
D. 27.80%

Question 32

Sum of dots when two dice are rolled is___________

A. A discrete variable
B. A continuous variable
C. A constant
D. A qualitative variable

Question 33

The data which have already been collected by someone are called_____________

A. Raw data
B. Array data
C. Secondary data
D. Fictitious data

Question 34

Data collected by NADRA to issue computerized identity cards (CICs) are__________

A. Unofficial data
B. Qualitative data
C. Secondary data
D. Primary data

Question 35

A parameter is a measure which is computed from______________

A. Population data
B. Sample data
C. Test statistics
D. None of these

Question 36

The grouped data is also called_________

A. Raw data
B. Primary data
C. Secondary data
D. Qualitative data

Question 37

Primary data and _____________ data are sam

A. Grouped
B. Secondary data
C. Ungrouped
D. None of these

Question 38

A constant variable can take values____________

A. Zero
B. Fixed
C. Not fixed
D. Nothing

Question 39

Cumulative frequency is___________

A. Decreasing
B. Increasing
C. Different
D. None of these

Question 40

Data Classified by attributes are called____________

A. Qualitative Data
B. Quantitative Data
C. Ungrouped Data
D. Geographical Data

Question 41

Statistics results are_____________

A. Absolutely Correct
B. Not True
C. True on Average
D. Universally True

Question 42

Measurements usually provide_____________

A. Discrete Data
B. Continuous Data
C. Qualitative Data
D. Primary Data

Question 43

Which one is the not measure of dispersion.____________

A. The Range
B. 50th Percentile
C. Inter-Quartile Range
D. Variance

Question 44

Statistic is a numerical quantity, which is calculated from_____________

A. Population
B. Sample
C. Data
D. Observations

Question 45

In statistics, a sample means_____________

A. A portion of the sample
B. A portion of the population
C. All the items under investigation
D. None of the above

Question 46

Data in the Population Census Report is___________

A. Grouped data
B. Ungrouped data
C. Secondary data
D. Primary data

Question 47

When data are collected in a statistical study for only a portion or subset of all elements of interest we areusing___________

A. A sample
B. A Parameter
C. A Population
D. Both b and c

Question 48

The algebraic sum of deviations from mean is___________

A. Maximum
B. Zero
C. Minimum
D. Undefined

Question 49

In inferential statistics, we study____________

A. The methods to make decisions about the population based on sample results
B. How to make decisions about mean, median, or mode
C. How a sample is obtained from a population
D. None of the above

Question 50

The height of a student is 60 inches. This is an example of___________

A. Qualitative data
B. Categorical data
C. Continuous data
D. Discrete data

Question 51

In statistics, a population consists of____________

A. All People living in a country
B. All People living in the area under study
C. All subjects or objects whose characteristics are being studied
D. None of the above

Question 52

In descriptive statistics, we study____________

A. The description of the decision-making process
B. The methods for organizing, displaying and describing data
C. How to describe the probability distribution
D. None of the above

Question 53

Which one of the following measurement does not divide a set of observations into equal parts?__________

A. Quartiles
B. Standard Deviations
C. Percentiles
D. Deciles

Question 54

In statistics, conducting a survey means__________

A. Collecting information from elements
B. Making mathematical calculations
C. Drawing graphs and pictures
D. None of the above

Question 55

You asked five of your classmates about their height. On the basis of this information, you stated that theaverage height of all students in your university or college is 67 inches. This is an example of___________

A. Descriptive statistics
B. Inferential Statistics
C. Parameter
D. Population

Question 56

Which branch of statistics deals with the techniques that are used to organize, summarize, and present thedata__________

B. Probability Statistics
C. Inferential Statistics
D. Descriptive Statistics

Question 57

Which of the following is not based on all the observations?________

A. Arithmetic Mean
B. Geometric Mean
C. Harmonic Mean
D. Mode

Question 58

The weights of students in a college/ school is a___________

A. Discrete Variable
B. Continuous Variable
C. Qualitative Variable
D. None of these

Question 59

Life of a T.V picture tube is a__________

A. Discrete variable
B. Continuous variable
C. Qualitative variable
D. Constant

Question 60

Population census is conducted through________

A. Sample survey
B. Accounting
C. Investigation
D. Complete enumeration

Question 61

Which of these represent qualitative data___________

A. Height of a student
B. Liking or disliking of (500) persons of a product
C. The income of a government servant in a city
D. Yield from a wheat plot

Question 62

What is the arithmetic mean of the data set: 4, 5, 0, 10, 8, and 3?____________

A. 5
B. 6
C. 7
D. 5

Question 63

What is the geometric mean of: 1, 2, 8, and 16?___________

A. 4
B. 5
C. 6
D. 7

Question 64

The arithmetic mean of all possible outcomes is known as___________

A. expected value
B. critical value
C. variance
D. standard deviation

Question 65

What is the average of 3%, 7%, 10%, and 16% ?____________

A. 8%
B. 9%
C. 10%
D. 11%

Question 66

The mean, mode, and median of the data set: 5, 4, 10, 12, 1, 5, 3, 7, 15, and 8 is respectively___________

A. 5, 6, 2007
B. 7, 6, 2005
C. 6, 5, 2007
D. 7, 5, 2006

Question 67

Harmonic men gives more weigntage to____________

A. Small Values
B. Large Values
C. Positive Values
D. Negative Values

Question 68

If the distribution is symmetric about mean then the skewness is_____________.

A. 1
B. Positive
C. negative
D. none

Question 69

Standard deviation is calculated from the Harmonic Mean (HM)____________

A. Always
B. Sometimes
C. Never
D. None of these

Question 70

In statistics, a sample means______________

A. A portion of the sample
B. A portion of the population
C. All the items under investigation
D. None of the above

Question 71

The algebraic sum of deviations from mean is__________

A. Maximum
B. Zero
C. Minimum
D. Undefined

Question 72

Sum of deviations will be zero if it is taken from___________

A. Mean
B. Mode
C. Median
D. Standard Deviation

Question 73

Arithmetic Mean is __________ affected by extreme values

A. Not
B. Highly
C. Less
D. None of these

Question 74

The sum of squared deviation is least from____________

A. Median
B. Mean
C. Mode
D. Standard Deviation

Question 75

__________ is based on all observations of data

A. Median
B. Mode
C. Mean
D. None of these

Question 76

The mean of 10 numbers is 9, then the sum (total) of these numbers will be________

A. 9
B. 0.9
C. 70
D. 90

Question 77

The sum of values divided by their number is called__________

A. Median
B. Harmonic Mean
C. Mean
D. Mode

Question 78

The calculation of mean and variance is based on_____________

A. Small values only
B. Large values only
C. Extreme values only
D. All values

Question 79

The Geometric Mean of -2, 4, 03, 6, 0 will be______________

A. -3
B. 0
C. Cannot be Computed
D. None of these

Question 80

The most repeated (popular) value in a data set is called____________

A. Median
B. Mean
C. Mode
D. Geometric Mean

Question 81

Which of the following Measure of Averages is not based on all the values given in the data set___________

A. Arithmetic Mean
B. Geometric Mean
C. Median
D. Mode

Question 82

Which of the following Measure of averages is affected by extreme (very small or very large) values in thedata set?____________

A. Geometric Mean
B. Median
C. Arithmetic Mean
D. Harmonic Mean

Question 83

Data must be arranged either in ascending or descending order if some want to compute________________

A. Mode
B. Median
C. Harmonic Mean
D. Median

Question 84

If any of the value in data set is negative then it is impossible to compute___________

A. Arithmetic Mean
B. Harmonic Mean
C. Geometric Mean
D. Mode

Question 85

If any of the value in the data set is zero then it is not possible (i.e. impossible) to compute_____________

A. Mode
B. Median
C. Mean
D. Harmonic Mean

Question 86

To find the average speed of a journey which is the appropriate measure of central tendency____________

A. Mean
B. Geometric Mean
C. Harmonic Mean
D. Weighted Mean

Question 87

Which of the following cannot be less than zero (negative)?_____________

A. Median
B. Geometric Mean
C. Arithmetic Mean
D. Harmonic Mean

Question 88

________ is the measure of average which can have more than one value____________

A. Mean
B. Median
C. Harmonic Mean
D. Mode

Question 89

Find the median of the following data: 160, 180, 200, 280, 300, 320, 400______________

A. 140
B. 300
C. 180
D. 280

Question 90

Which of the following describe the middle part of a group of numbers?_____________

A. The Measure of Variability
B. The Measure of Central Tendency
C. The Measure of Association
D. The Measure of Shape

Question 91

The middle value of an ordered array of numbers is the_____________

A. Mode
B. Mean
C. Median
D. Mid-Point

Question 92

If mean, median, and mode are all equal then distribution will be_______________

A. Positive Skewed
B. Negative Skewed
C. Symmetrical
D. None of these

Question 93

The values of mean, median and mode can be____________

A. Some time equal
B. Never equal
C. Always equal
D. None of these

Question 94

In symmetrical distribution, mean, median, and mode are__________

A. Equal
B. Different
C. Zero
D. None of these

Question 95

The empirical relation between mean, median, and mode is____________

A. $3 mean – 2 median$
B. $3 median – 2 mean$
C. $2 mean – 3 median$
D. $mean = median = mode$

Question 96

In a symmetrical distribution, mean is ____________ mode

A. Equal to
B. Less than
C. Greater than
D. Not equal to

Question 97

If in a distribution left tail is longer than right tail, then the distribution will be____________

A. Symmetrical
B. Positive skewed
C. Negative skewed
D. None of these

Question 98

In Uni-model distribution, if mode is less than mean, then the distribution will be__________

A. Symmetrical
B. Normal
C. Positively skewed
D. Negatively skewed

Question 99

The shape of symmetrical distribution is _______

A. U shaped
B. Bell Shaped
C. J Shaped
D. None of these

Question 100

The distribution in which mean = 60 and mode = 50, will be ____________

A. Symmetrical
B. Positive skewed
C. Negative skewed
D. None of these

Question 101

If mean is less than mode, the distribution will be____________

A. Positively skewed
B. Negatively skewed
C. Symmetrical
D. None of these

Question 102

A symmetrical distribution has mean equal to 4. Its mode will be____________

A. Equal to 4
B. Less than 4
C. Greater than 4
D. Not equal to 4

Question 103

A set of values is said to be relatively uniform if it has___________

A. High Dispersion
B. Zero Dispersion
C. Littel Dispersion
D. Negative Dispersion

Question 104

The measures of dispersion are changed by the change of_______________

A. Scale
B. Origin
C. Unit
D. None of these

Question 105

Statistics are aggregates of______________

A. Methods
B. Calculations
C. Facts
D. Data

Question 106

The appropriate average for calculating average percentage increase in population is____________

A. Arithmetic Mean
B. Harmonic Mean
C. Mode
D. Geometric Mean

Question 107

Which mean is most affected by extreme values?____________

A. Geometric Mean
B. Harmonic Mean
C. Arithmetic mean
D. Trimmed Mean

Question 108

When mean, median, and mode are identical, the distribution is___________

A. Positively Skewed
B. Negatively Skewed
C. Symmetrical Bivariate
D. Uniform

Question 109

Sum of absolute deviations about median is_________

A. Zero
B. Maximum
C. Minimum
D. One

Question 110

Sum of square of the deviations about mean is___________

A. Maximum
B. Minimum
C. Zero
D. None of these

Question 111

The extreme values in negatively skewed distribution lie in the_____________

A. Middle
B. Right Tail
C. Left Tail
D. Whole Curve

Question 112

Study of scatteredness of observations is known as ________

A. Measure of dispersion
B. Standard deviation
C. Measure of central tendency
D. None of the above

Question 113

Standard deviation of first 50 natural number is__________

A. 12.43
B. 10.43
C. 14.43
D. 16.43

Question 114

Calculate coefficient of variation c)V.) for the following data 2,4,8,6,10 and 12 is____________

A. 48.86
B. 42.86
C. 40.86
D. 0.49

Question 115

Calculate Standard deviation for the following sample data 2,4,6,8,10 and 12. Is________

A. 4.42
B. 2.42
C. 3.42
D. 5.42

Question 116

Standard deviation is always___________

A. Negative
B. Positive
C. Zero
D. None of the above

Question 117

The arithmetic average of the absolute deviation of a series known as the________

A. Standard deviation
B. Coefficient of mean deviation
C. Mean deviation
D. None of the above

Question 118

The average of the squared deviations about the arithmetic mean for a set of numbers is__________

A. Standard deviation
B. Coefficient of mean deviation
C. Mean deviation
D. Variance

Question 119

The measure of dispersion which is expressed in terms of the nits of observations__________

A. Absolute measure
B. Variance
C. Relative measure
D. None of the above

Question 120

If the difference of the third and first quartiles is divided by the sum of the third and first quartiles then it isknown as __________

A. Quartile
B. Coefficient of mean deviation
C. Coefficient of quartile deviation
D. None of the above

Question 121

The average of squared deviations about the arithmetic mean for a set of numbers is called___________

A. Standard deviation
B. Coefficient of mean deviation
C. Mean deviation
D. Variance

Question 122

The measure of dispersion which is expressed in terms of the units of the observations I called________Absolute measure

A. Variance
B. Relative measure
C. None of the above
D. All of the Above

Question 123

If the difference of the third and first quartile is divided by the sum of the third and first quartile then it isknown as__________

A. Quartile
B. Coefficient of mean deviation
C. Coefficient of quartile deviation
D. None of the above

Question 124

The scatter in a series of values about the average is called___________

A. Central tendency
B. Dispersion
C. Skewness
D. Symmetry

Question 125

The measurements of spread or scatter of the individual values around the central point is called________

A. Measures of dispersion
B. Measures of central tendency
C. Measures of skewness
D. Measures of kurtosis

Question 126

The measures used to calculate the variation present among the observations in the unit of the variable iscalled___________

A. Relative measures of dispersion
B. Coefficient of skewness
C. Absolute measures of dispersion
D. Coefficient of variation

Question 127

The measures used to calculate the variation present among the observations relative to their average iscalled_______

A. Coefficient of kurtosis
B. Absolute measures of dispersion
C. Quartile deviation
D. Relative measures of dispersion

Question 128

The degree to which numerical data tend to spread about an average value called________

A. Constant
B. Flatness
C. Variation
D. Skewness

Question 129

The measures of dispersion can never be__________

A. Positive
B. Zero
C. Negative
D. Equal to

Question 130

If all the scores on examination cluster around the mean, the dispersion is said to be________

A. Small
B. Large
C. Normal
D. Symmetrical

Question 131

If there are many extreme scores on all examination, the dispersion is____________

A. Large
B. Small
C. Normal
D. Symmetric

Question 132

Given below the four sets of observations. Which set has the minimum variation?____________

A. 46, 48, 50, 52, 54
B. 30, 40, 50, 60, 70
C. 40, 50, 60, 70, 80
D. 48, 49, 50, 51, 52

Question 133

Which of the following is an absolute measure of dispersion?___________

A. Coefficient of variation
B. Coefficient of dispersion
C. Standard deviation
D. Coefficient of skewness

Question 134

The measure of dispersion which uses only two observations is called___________

A. Mean
B. Median
C. Range
D. Coefficient of variation

Question 135

The measure of dispersion which uses only two observations is called__________

A. Range
B. Quartile deviation
C. Mean deviation
D. Standard deviation

Question 136

In quality control of manufactured items, the most common measure of dispersion is___________

A. Range
B. Average deviation
C. Standard deviation
D. Quartile deviation

Question 137

The range of the scores 29, 3, 143, 27, 99 is_____________

A. 140
B. 143
C. 146
D. 70

Question 138

If the observations of a variable X are, -4, -20, -30, -44 and -36, then the value of the range willbe_________

A. -48
B. 40
C. -40
D. 48

Question 139

The range of the values -5, -8, -10, 0, 6, 10 is___________

A. 0
B. 10
C. -10
D. 20

Question 140

If the maximum value in a series is 25 and its range is 15, the maximum value of the series is___________

A. 10
B. 15
C. 25
D. 35

Question 141

Half of the difference between upper and lower quartiles is called___________

A. Interquartile range
B. Quartile deviation
C. Mean deviation
D. Standard deviation

Question 142

If Q3=20 and Q1=10, the coefficient of quartile deviation is___________

A. 3
B. 1-3
C. 2-3
D. 1

Question 143

Which measure of dispersion can be computed in case of openend classes?___________

A. Standard deviation
B. Range
C. Quartile deviation
D. Coefficient of variation

Question 144

The sum of absolute deviations is minimum if these deviations are taken from the_____________

A. Mean
B. Mode
C. Median
D. Upper quartile

Question 145

The mean deviation is minimum when deviations are taken from____________

A. Mean
B. Mode
C. Median
D. Zero

Question 146

If Y = ax ± b, where a and b are any two numbers but a 0, then M.D(Y) is equal to__________

A. M.D(X)
B. M.D(X) ± b
C. a M.D(X)
D. M.D(Y) + M.D(X)

Question 147

The mean deviation of the scores 12, 15, 18 is_____________

A. 6
B. 0
C. 3
D. 2

Question 148

Mean deviation computed from a set of data is always____________

A. Negative
B. Equal to standard deviation
C. More than standard deviation
D. Less than standard deviation

Question 149

The average of squared deviations from mean is called_____________

A. Mean deviation
B. Variance
C. Standard deviation
D. Coefficient of variation

Question 150

The sum of squares of the deviations is minimum, when deviations are taken from__________

A. Mean
B. Mode
C. Median
D. Zero

Question 151

Which of the following measures of dispersion is expressed in the same units as the units ofobservation?__________

A. Variance
B. Standard deviation
C. Coefficient of variation
D. Coefficient of standard deviation

Question 152

Which measure of dispersion has a different unit other than the unit of measurement of values________

A. Range
B. Standard deviation
C. Variance
D. Mean deviation

Question 153

Which of the following is a unit free quantity___________

A. Range
B. Standard deviation
C. Coefficient of variation
D. Arithmetic mean

Question 154

If the dispersion is small, the standard deviation is____________

A. Large
B. Zero
C. Small
D. Negative

Question 155

The value of standard deviation changes by a change of__________

A. Origin
B. Scale
C. Algebraic signs
D. None

Question 156

The standard deviation one distribution divided by the mean of the distribution and expressing inpercentage is called_____________

A. Coefficient of Standard deviation
B. Coefficient of skewness
C. Coefficient of quartile deviation
D. Coefficient of variation

Question 157

The positive square root of the mean of the squares of the deviations of observations from their mean iscalled____________

A. Variance
B. Range
C. Standard deviation
D. Coefficient of variation

Question 158

The variance is zero only if all observations are the___________

A. Different
B. Square
C. Square root
D. Same

Question 159

The standard deviation is independent of_____________

A. Change of origin
B. Change of scale of measurement
C. Change of origin and scale of measurement
D. Difficult to tell

Question 160

If there are ten values each equal to 10, then standard deviation of these values is___________

A. 100
B. 20
C. 10

Question 161

Which is a method of measuring correlation?________

A. Graphic correlation
B. Scatter diagrams
C. None of these
D. Both of these

Question 162

A scatter diagram is________

A. A statistical test
B. Linear
C. Curvilinear
D. A graph showing x and y values

Question 163

If there exists any relation between the sets of variables, it is called__________

A. Regression
B. Skewness
C. Correlation
D. All of these

Question 164

Perfect correlation is one Perfect correlation is one in which_________

A. Area of a circle is in definite constant relationship with radius
B. When area of the circle is ½ radius
C. None of these
D. All of these

Question 165

Which of the following measurement scales is required for the valid calculation of Karl Pearson’scorrelation coefficient?__________

A. Ordinal
B. Interval
C. Ratio
D. Nominal

Question 166

Which of the following point is not related with the utility of correlation?________

A. Relation between two variables
B. Help in decision making
C. Useful in research work
D. All of these

Question 167

Which of the following is not cause of the correlation?____________

A. Direct relationship
B. Correlation due to any other common cause
C. Mutual Reaction
D. None of these

Question 168

Which of the following is the highest range of r?__________

A. 0 and 1
B. -1 and 0
C. -1 and 1
D. None of these

Question 169

When the correlation coefficient between x and y is positive, then as variable x decreases, variable yRemains the same________

A. Increases
B. Decreases
C. Changes linearly
D. none

Question 170

Which of the following is most likely to be an inverse relationship?__________

A. Between income and expenditure on education
B. Between price increase and demand for a certain product
C. Between average number of hours studied per day and the performance of the students in the examination
D. Between advertising expenditure and sales of a product.

Question 171

Which of the following measurement scales is required for the valid calculation of spearman correlationcoefficient?_____________

A. Ordinal
B. Interval
C. Nominal
D. Ratio

Question 172

The ratio of the average deviations is called__________

A. Regression
B. Correlation
C. Skewness
D. All of these

Question 173

What will be the range of r when we find that the dependent variable increases as the independent variableincreases?__________

A. 0 to -0.05
B. 1 to 2
C. 0 .1 to 1
D. None of these

Question 174

Which of the following is true if the estimating equation has to be a perfect estimator of the dependentvariable?______________

A. The coefficient of determination is -1
B. All the data points are on the regression line.
C. The standard error of the estimate is zero
D. B and C

Question 175

When a multiple correlation coefficient R 1.23 =1 , then R 2.13 is________

A. 1
B. -1
C. None of these

Question 176

When a multiple correlation coefficient r 1.2=1, then it shows __________

A. Reasonably good relationship
B. Lack of linear relationship
C. Perfect relationship
D. None of these

Question 177

When the two regression line coincide, then r is_________

A. 1
B. -1
C. None of these

Question 178

Statistics branches include__________

A. Applied Statistics
B. Mathematical Statistics
C. Industry Statistics
D. Both A and B

Question 179

The variables whose calculation is done according to the weight, height and length and weight are knownas__________

A. Flowchart Variables
B. Discrete Variables
C. Continuous Variables
D. Measuring Variables

Question 180

The number of accidents in a city during 2010 is___________

A. Discrete variable
B. Continuous variable
C. Qualitative variable
D. Constant

Question 181

The correlation coefficient is used to determine________

A. A specific value of the y-variable given a specific value of the x-variable
B. A specific value of the x-variable given a specific value of the y-variable
C. The strength of the relationship between the x and y variables
D. None of these

Question 182

If there is a very strong correlation between two variables then the correlation coefficient must be _______

A. any value larger than 1
B. much smaller than 0, if the correlation is negative
C. much larger than 0, regardless of whether the correlation is negative or positive
D. None of these alternatives is correct.

Question 183

In regression, the equation that describes how the response variable (y) is related to the explanatoryvariable (x) is___________

A. the correlation model
B. the regression model
C. used to compute the correlation coefficient
D. None of these alternatives is correct.

Question 184

The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: != -0.0127 + 0.0180x The above equation implies that__________

A. each beer consumed increases blood alcohol by 1.27%
B. on average it takes 1.8 beers to increase blood alcohol content by 1%
C. each beer consumed increases blood alcohol by an average of amount of 1.8%
D. each beer consumed increases blood alcohol by exactly 0.018

Question 185

SSE can never be _____________

A. larger than SST
B. smaller than SST
C. equal to 1
D. equal to zero

Question 186

Regression modeling is a statistical framework for developing a mathematical equation that describes how __________

A. one explanatory and one or more response variables are related
B. several explanatory and several response variables response are related
C. one response and one or more explanatory variables are related
D. All of these are correct.

Question 187

In regression analysis, the variable that is being predicted is the __________

A. response, or dependent, variable
B. independent variable
C. intervening variable
D. is usually x

Question 188

Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join the colony per year). The following regression equation was obtained) ! = 31.9 – 0.34x Based on the above estimated regression equation, if the return rate were to decrease by 10% the rate of immigration to the colony would________________

A. increase by 34%
B. increase by 3.4%
C. decrease by 0.34%
D. decrease by 3.4%

Question 189

In least squares regression, which of the following is not a required assumption about the error term ε?___________

A. The expected value of the error term is one.
B. The variance of the error term is the same for all values of x.
C. The values of the error term are independent.
D. The error term is normally distributed)

Question 190

Larger values of r 2 (R2 ) imply that the observations are more closely grouped about the __________

A. average value of the independent variables
B. average value of the dependent variable
C. least squares line
D. origin

Question 191

In a regression analysis if r 2 = 1, then ___________

A. SSE must also be equal to one
B. SSE must be equal to zero
C. SSE can be any positive value
D. SSE must be negative

Question 192

The coefficient of correlation____________

A. is the square of the coefficient of determination
B. is the square root of the coefficient of determination
C. is the same as r-square
D. can never be negative

Question 193

In regression analysis, the variable that is used to explain the change in the outcome of an experiment, orsome natural process, is called ________

A. the x-variable
B. the independent variable
C. the predictor variable
D. all of the above (a-c) are correct

Question 194

In the case of an algebraic model for a straight line, if a value for the x variable is specified, then________

A. the exact value of the response variable can be computed
B. the computed response to the independent value will always give a minimal residual
C. the computed value of y will always be the best estimate of the mean response
D. none of these alternatives is correct.

Question 195

A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation: ! = 50,000 - 8X The above equation implies that an ________ A. increase of$1 in price is associated with a decrease of $8 in sales B. increase of$8 in price is associated with an increase of $8,000 in sales C. increase of$1 in price is associated with a decrease of $42,000 in sales D. increase of$1 in price is associated with a decrease of $8000 in sales View Answer Question 196 In a regression and correlation analysis if r 2 = 1, then ___________ A. SSE = SST B. SSE = 1 C. SSR = SSE D. SSR = SST View Answer Question 197 If the coefficient of determination is a positive value, then the regression equation__________ A. must have a positive slope B. must have a negative slope C. could have either a positive or a negative slope D. must have a positive y intercept View Answer Question 198 If two variables, x and y, have a very strong linear relationship, then ____________ A. there is evidence that x causes a change in y B. there is evidence that y causes a change in x C. there might not be any causal relationship between x and y D. None of these alternatives is correct. View Answer Question 199 If the coefficient of determination is equal to 1, then the correlation coefficient _______ A. must also be equal to 1 B. can be either -1 or +1 C. can be any value between -1 to +1 D. must be -1 View Answer Question 200 In regression analysis, if the independent variable is measured in kilograms, the dependent variable ______ A. must also be in kilograms B. must be in some unit of weight C. cannot be in kilograms D. can be any units View Answer Question 201 The data are the same as for question 4 above. The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: != -0.0127 + 0.0180x Suppose that the legal limit to drive is a blood alcohol content of 0.08. If Ricky consumed 5 beers the model would predict that he would be____________ A. 0.09 above the legal limit B. 0.0027 below the legal limit C. 0.0027 above the legal limit D. 0.0733 above the legal limit View Answer Question 202 If the correlation coefficient is 0.8, the percentage of variation in the response variable explained by thevariation in the explanatory variable is____________ A. 0.80% B. 80% C. 0.64% D. 64% View Answer Question 203 If the correlation coefficient is a positive value, then the slope of the regression line ___________ A. must also be positive B. can be either negative or positive C. can be zero D. can not be zero View Answer Question 204 If the coefficient of determination is 0.81, the correlation coefficient __________ A. is 0.6561 B. could be either + 0.9 or - 0.9 C. must be positive D. must be negative View Answer Question 205 A fitted least squares regression line ____________ A. may be used to predict a value of y if the corresponding x value is given B. is evidence for a cause-effect relationship between x and y C. can only be computed if a strong linear relationship exists between x and y D. None of these alternatives is correct. View Answer Question 206 Regression analysis was applied between$ sales (y) and $advertising (x) across all the branches of a major international corporation. The following regression function was obtained) ! = 5000 + 7.25x If the advertising budgets of two branches of the corporation differ by$30,000, then what will be the predicted difference in their sales? __________

A. $2,17,500 B.$2,22,500
C. $5,000 D.$7.25

Question 207

Suppose the correlation coefficient between height (as measured in feet) versus weight (as measured in pounds) is 0.40. What is the correlation coefficient of height measured in inches versus weight measured in ounces? [12 inches = one foot; 16 ounces = one pound] _______

A. 0.4
B. 0.3
C. 0.533
D. cannot be determined from information given e. none of these

Question 208

Assume the same variables as in question 28 above; height is measured in feet and weight is measured in pounds. Now, suppose that the units of both variables are converted to metric (meters and kilograms). The impact on the slope is__________

A. the sign of the slope will change
B. the magnitude of the slope will change
C. both a and b are correct
D. neither a nor b are correct

Question 209

Suppose that you have carried out a regression analysis where the total variance in the response is 133452 and the correlation coefficient was 0.85. The residual sums of squares is____________

A. 37032.92
B. 20017.8
C. 113434.2
D. 96419.07