Chapter:

40+ Measures of Dispersion Solved MCQs

in Statistics

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Bachelor of Business Administration in Computer Applications (BBA [CA]) , Union Public Service Commission (UPSC) .

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1.	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
Answer» A. Measure of dispersion

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2.	Standard deviation of first 50 natural number is__________
A.	12.43
B.	10.43
C.	14.43
D.	16.43
Answer» C. 14.43

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3.	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
Answer» A. 48.86

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4.	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
Answer» C. 3.42

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5.	Standard deviation is always___________
A.	Negative
B.	Positive
C.	Zero
D.	None of the above
Answer» B. Positive

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6.	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
Answer» C. Mean deviation

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7.	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
Answer» D. Variance

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8.	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
Answer» A. Absolute measure

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9.	If the difference of the third and first quartiles is divided by the sum of the third and first quartiles then it is known as __________
A.	Quartile
B.	Coefficient of mean deviation
C.	Coefficient of quartile deviation
D.	None of the above
Answer» C. Coefficient of quartile deviation

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10.	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
Answer» D. Variance

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11.	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
Answer» A. Variance

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12.	If the difference of the third and first quartile is divided by the sum of the third and first quartile then it is known as__________
A.	Quartile
B.	Coefficient of mean deviation
C.	Coefficient of quartile deviation
D.	None of the above
Answer» C. Coefficient of quartile deviation

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13.	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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14.	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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15.	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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16.	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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17.	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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18.	The measures of dispersion can never be__________
A.	Positive
B.	Zero
C.	Negative
D.	Equal to
Answer» C. Negative

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19.	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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20.	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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21.	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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22.	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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23.	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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24.	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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25.	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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26.	The range of the scores 29, 3, 143, 27, 99 is_____________
A.	140
B.	143
C.	146
D.	70
Answer» B. 143

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27.	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» D. 48

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28.	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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29.	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» B. 15

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

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31.	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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32.	Which measure of dispersion can be computed in case of openend classes?___________
A.	Standard deviation
B.	Range
C.	Quartile deviation
D.	Coefficient of variation
Answer» C. Quartile deviation

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33.	The sum of absolute deviations is minimum if these deviations are taken from the_____________
A.	Mean
B.	Mode
C.	Median
D.	Upper quartile
Answer» C. Median

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34.	The mean deviation is minimum when deviations are taken from____________
A.	Mean
B.	Mode
C.	Median
D.	Zero
Answer» D. Zero

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35.	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)
Answer» D. M.D(Y) + M.D(X)

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36.	The mean deviation of the scores 12, 15, 18 is_____________
A.	6
B.	0
C.	3
D.	2
Answer» B. 0

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37.	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
Answer» A. Negative

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38.	The average of squared deviations from mean is called_____________
A.	Mean deviation
B.	Variance
C.	Standard deviation
D.	Coefficient of variation
Answer» B. Variance

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39.	The sum of squares of the deviations is minimum, when deviations are taken from__________
A.	Mean
B.	Mode
C.	Median
D.	Zero
Answer» C. Median

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40.	Which of the following measures of dispersion is expressed in the same units as the units of observation?__________
A.	Variance
B.	Standard deviation
C.	Coefficient of variation
D.	Coefficient of standard deviation
Answer» C. Coefficient of variation

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41.	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
Answer» B. Standard deviation

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42.	Which of the following is a unit free quantity___________
A.	Range
B.	Standard deviation
C.	Coefficient of variation
D.	Arithmetic mean
Answer» D. Arithmetic mean

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43.	If the dispersion is small, the standard deviation is____________
A.	Large
B.	Zero
C.	Small
D.	Negative
Answer» C. Small

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44.	The value of standard deviation changes by a change of__________
A.	Origin
B.	Scale
C.	Algebraic signs
D.	None
Answer» D. None

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45.	The standard deviation one distribution divided by the mean of the distribution and expressing in percentage is called_____________
A.	Coefficient of Standard deviation
B.	Coefficient of skewness
C.	Coefficient of quartile deviation
D.	Coefficient of variation
Answer» A. Coefficient of Standard deviation

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46.	The positive square root of the mean of the squares of the deviations of observations from their mean is called____________
A.	Variance
B.	Range
C.	Standard deviation
D.	Coefficient of variation
Answer» D. Coefficient of variation

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47.	The variance is zero only if all observations are the___________
A.	Different
B.	Square
C.	Square root
D.	Same
Answer» D. Same

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48.	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
Answer» B. Change of scale of measurement

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49.	If there are ten values each equal to 10, then standard deviation of these values is___________
A.	100
B.	20
C.	10
D.	0
Answer» C. 10

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40+ Measures of Dispersion Solved MCQs

Study of scatteredness of observations is known as ________

Standard deviation of first 50 natural number is__________

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

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

Standard deviation is always___________

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

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

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

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

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

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

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

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

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

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

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

The mean deviation is minimum when deviations are taken from____________

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

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

Mean deviation computed from a set of data is always____________

The average of squared deviations from mean is called_____________

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

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

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

Which of the following is a unit free quantity___________

If the dispersion is small, the standard deviation is____________

The value of standard deviation changes by a change of__________

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

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

The variance is zero only if all observations are the___________

The standard deviation is independent of_____________

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