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
C. Business 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
C. Business 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__________
A. Advanced Statistics
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
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
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
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.
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
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
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
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%
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
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
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.
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
Question 210
In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is ___________
A. 0.6667
B. 0.6
C. 0.4
D. 1.5