Chapter:

30+ Unit 2 Solved MCQs

in Business Statistics

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1.	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
Answer» A. Measures of dispersion

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2.	The scatter in a series of values about the average is called:
A.	Central tendency
B.	Dispersion
C.	Skewness
D.	Symmetry
Answer» B. Dispersion

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3.	The measures used to calculate the variation present among the observations in the unit of the variable is called:
A.	Relative measures of dispersion
B.	Coefficient of skewness
C.	Absolute measures of dispersion
D.	Coefficient of variation
Answer» C. Absolute measures of dispersion

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4.	The measures used to calculate the variation present among the observations relative to their average is called:
A.	Coefficient of kurtosis
B.	Absolute measures of dispersion
C.	Quartile deviation
D.	Relative measures of dispersion
Answer» D. Relative measures of dispersion

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5.	The degree to which numerical data tend to spread about an average value called:
A.	Constant
B.	Flatness
C.	Variation
D.	Skewness
Answer» C. Variation

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6.	The measures of dispersion can never be:
A.	Positive
B.	Zero
C.	Negative
D.	Equal to 2
Answer» C. Negative

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7.	If all the scores on examination cluster around the mean, the dispersion is said to be:
A.	Small
B.	Large
C.	Normal
D.	Symmetrical
Answer» A. Small

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8.	If there are many extreme scores on all examination, the dispersion is:
A.	Large
B.	Small
C.	Normal
D.	Symmetric
Answer» A. Large

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9.	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
Answer» D. 48, 49, 50, 51, 52

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10.	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
Answer» C. Standard deviation

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11.	The measure of dispersion which uses only two observations is called:
A.	Mean
B.	Median
C.	Range
D.	Coefficient of variation
Answer» C. Range

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12.	The measure of dispersion which uses only two observations is called:
A.	Range
B.	Quartile deviation
C.	Mean deviation
D.	Standard deviation
Answer» A. Range

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13.	In quality control of manufactured items, the most common measure of dispersion is:
A.	Range
B.	Average deviation
C.	Standard deviation
D.	Quartile deviation
Answer» A. Range

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14.	The range of the scores 29, 3, 143, 27, 99 is:
A.	140
B.	143
C.	146
D.	70
Answer» A. 140

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15.	If the observations of a variable X are, -4, -20, -30, -44 and -36, then the value of the range will be:
A.	-48
B.	40
C.	-40
D.	48
Answer» B. 40

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16.	The range of the values -5, -8, -10, 0, 6, 10 is:
A.	0
B.	10
C.	-10
D.	20
Answer» D. 20

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17.	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
Answer» A. 10

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18.	Half of the difference between upper and lower quartiles is called:
A.	Interquartile range
B.	Quartile deviation
C.	Mean deviation
D.	Standard deviation
Answer» B. Quartile deviation

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19.	If Q3=20 and Q1=10, the coefficient of quartile deviation is:
A.	3
B.	1/3
C.	2/3
D.	1
Answer» B. 1/3

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20.	If the quartile range is 24 then the quartile deviation is:
A.	48
B.	12
C.	24
D.	72
Answer» B. 12

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21.	The sum of all the squared deviations is divided by the total number of observations to calculate
A.	population deviation
B.	population variance
C.	sample deviation
D.	sample variance
Answer» B. population variance

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22.	For the recorded observation, the ratios measured by absolute variation are considered as
A.	non-relative measures
B.	relative measures
C.	high uniform measures
D.	low uniform measures
Answer» B. relative measures

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23.	If the arithmetic mean is multiplied to coefficient of variation then the resulting value is classified as
A.	coefficient of deviation
B.	coefficient of mean
C.	standard deviation
D.	variance
Answer» C. standard deviation

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24.	If mean absolute deviation of set of observations is 8.5 then value of quartile deviation is
A.	7.08
B.	9.08
C.	10.2
D.	11.2
Answer» A. 7.08

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25.	For a positively skewed distribution, mean is always:
A.	Less than the median
B.	Less than the mode
C.	Greater than the mode
D.	Difficult to tell
Answer» C. Greater than the mode

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26.	If the sum of deviations from median is not zero, then a distribution will be:
A.	Symmetrical
B.	Skewed
C.	Normal
D.	All of the above
Answer» B. Skewed

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27.	The degree of peaked ness or flatness of a unimodel distribution is called:
A.	Skewness
B.	Symmetry
C.	Dispersion
D.	Kurtosis
Answer» D. Kurtosis

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28.	In a mesokurtic or normal distribution, µ4 = 243. The standard deviation is:
A.	81
B.	27
C.	9
D.	3
Answer» D. 3

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29.	In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to:
A.	5
B.	15
C.	20
D.	25
Answer» D. 25

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30.	The first three moments of a distribution about the mean are 1, 4 and 0. The distribution is:
A.	Symmetrical
B.	Skewed to the left
C.	Skewed to the right
D.	Normal
Answer» A. Symmetrical

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31.	For a symmetrical distribution:
A.	β1 > 0
B.	β1 < 0
C.	β1 = 0
D.	β1 = 3
Answer» C. β1 = 0

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32.	The second and fourth moments about mean are 4 and 48 respectively, then the distribution is:
A.	Leptokurtic
B.	Platykurtic
C.	Mesokurtic or normal
D.	Positively skewed
Answer» C. Mesokurtic or normal

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33.	Bowley's coefficient of skewness lies between:
A.	0 and 1
B.	1 and +1
C.	-1 and 0
D.	-2 and +2
Answer» B. 1 and +1

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34.	The value of β2 can be:
A.	Less than 3
B.	Greater than 3
C.	Equal to 3
D.	All of the above
Answer» D. All of the above

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30+ Unit 2 Solved MCQs

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

The scatter in a series of values about the average is called:

The measures used to calculate the variation present among the observations in the unit of the variable is called:

The measures used to calculate the variation present among the observations relative to their average is called:

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

The measures of dispersion can never be:

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

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

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

Which of the following is an absolute measure of dispersion?

The measure of dispersion which uses only two observations is called:

The measure of dispersion which uses only two observations is called:

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

The range of the scores 29, 3, 143, 27, 99 is:

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

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

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

Half of the difference between upper and lower quartiles is called:

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

If the quartile range is 24 then the quartile deviation is:

The sum of all the squared deviations is divided by the total number of observations to calculate

For the recorded observation, the ratios measured by absolute variation are considered as

If the arithmetic mean is multiplied to coefficient of variation then the resulting value is classified as

If mean absolute deviation of set of observations is 8.5 then value of quartile deviation is

For a positively skewed distribution, mean is always:

If the sum of deviations from median is not zero, then a distribution will be:

The degree of peaked ness or flatness of a unimodel distribution is called:

In a mesokurtic or normal distribution, µ4 = 243. The standard deviation is:

In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to:

The first three moments of a distribution about the mean are 1, 4 and 0. The distribution is:

For a symmetrical distribution:

The second and fourth moments about mean are 4 and 48 respectively, then the distribution is:

Bowley's coefficient of skewness lies between:

The value of β2 can be: