Explore topic-wise MCQs in Statistics .

This section includes 47 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics knowledge and support exam preparation. Choose a topic below to get started.

1.

which is poor measure of dispersion in open-end distribution ________________?

A. Quartile- deviation
B. Semi-inter quartile range
C. Range
D. None of these
Answer» D. None of these
2.

Variance remains unchanged by change of_____________?

A. Origin
B. Scale
C. Both
D. None of these
Answer» B. Scale
3.

The variance of 5 numbers is 10. If each number is divided by 2, then variance of new number is_____________?

A. 20
B. 0
C. 2.5
D. 0
Answer» D. 0
4.

The variance of 4,4,4,4,4,4 is _______________?

A. 4
B. (4)2
C. 8
D. None of these
Answer» E.
5.

The value of interval x ± S include _______________?

A. 49.45%
B. 95.45%
C. 68.27%
D. 99.73%
Answer» D. 99.73%
6.

The sum of the squares of deviations is the least when measured from____________?

A. A.M.
B. Median
C. Mode
D. G.M.
Answer» B. Median
7.

The sum of powers of deviation from mean is zero is called __________?

A. Mean
B. Lack
C. Normal
D. Skewed
Answer» D. Skewed
8.

The sum of absolute deviations from median is _____?

A. Zero
B. Positive
C. Least
D. None of these
Answer» D. None of these
9.

The standard deviation is affected by the value of every____________?

A. Relative Dispersion
B. Observation
C. Absolute
D. Items
Answer» C. Absolute
10.

The shape of the symmetrical distribution is _______?

A. U- Shaped
B. J- Shaped
C. Bell- Shaped
D. None of these
Answer» D. None of these
11.

The second moment about mean is _____?

A. Variance
B. Mean
C. S.D.
D. Mode
Answer» D. Mode
12.

The S.D. and variance are ____ of origine?

A. Multiplied
B. Variance
C. Change
D. Independent
Answer» E.
13.

The measure of relative dispersion is called __________________?

A. Quartile deviation
B. Mean dervation
C. Mean coefficient
D. Coefficient of quartile Deviation
Answer» E.
14.

The mean deviation of the values, 18, 12, 15, is_______________?

A. 6
B. Zero
C. 3
D. 2
Answer» E.
15.

The lack of uniformity is called ______________?

A. Lack
B. variation
C. X= 5
D. Skewness
Answer» E.
16.

The ________ in the distribution around which the observation to lie?

A. Mean
B. Dispersion
C. Manner
D. Central value
Answer» D. Central value
17.

The frequency distribution mean > Median > Mode is called __________?

A. Negatively
B. Symmetrical
C. +vely
D. One
Answer» D. One
18.

The degree to which numerical data tend to spread about an average value is a________________?

A. Range
B. variance
C. Minimum
D. Dispersion
Answer» E.
19.

The correct variance is define as the __________________?

A. varies of data P2/6
B. S.D. of data h2/12
C. M.D. of data h2/6
D. Variance of data h2/12
Answer» E.
20.

The A.M. is greater than mode is equal to ______________?

A. +vely
B. Skewness
C. Negatively
D. zero
Answer» B. Skewness
21.

Second moment about mean is always equal to _____________?

A. S.D.
B. C.V.
C. Variance
D. Square
Answer» D. Square
22.

Relative measure of skewness was introduced by _____________?

A. Rowely
B. Lack
C. Karl Person
D. Mode
Answer» D. Mode
23.

Range of 5,5,5,5, is ________________?

A. 0
B. 5
C. 25
D. None of these
Answer» B. 5
24.

Quartile deviation is not capable of manipulation______________?

A. Easy
B. mathematically
C. Abjectly
D. Algebraic
Answer» E.
25.

__________ of the distribution which is measured relative to the distribution known as Normal?

A. Skewed
B. Flatness
C. Normal
D. Moment
Answer» C. Normal
26.

Mean deviation, Variance and Standard Deviation of the values 4,4,4,4,4,4 is_______________?

A. 4
B. 8
C. 2
D. 0
Answer» E.
27.

Mean deviation =______ S.D?

A. 2/3
B. 4/5
C. 5/6
D. 6/5
Answer» C. 5/6
28.

Mean deviation is equal to 4/5 of the _________ manipulation?

A. Quartile deviation
B. Range
C. Standard deviation
D. Variance
Answer» D. Variance
29.

Mean deviation is always ________________?

A. Equal to S.D.
B. More than S.D.
C. Less than S.D.
D. Negative
Answer» D. Negative
30.

Lowest value of variance can be____________?

A. 1
B. -1
C. 3
D. 0
Answer» E.
31.

________ is the simplest means of dispersion?

A. Standard deviation
B. Variation
C. C.V.
D. Range
Answer» E.
32.

In symmetrical distribution, the co-efficient of skewness is equal to ______________?

A. -1
B. +1
C. 0
D. None of these
Answer» D. None of these
33.

In grouped data, the range is the difference between ________________?

A. Two extreme class boundaries
B. Two extreme class frequency
C. Two extreme class limits
D. None of these
Answer» B. Two extreme class frequency
34.

In a symmetrical distribution mean, median and mode, _________________?

A. Positive
B. Greater
C. Less than
D. Coincide
Answer» E.
35.

If y= bx + c the range of y is ________?

A. Range of P
B. Quartile of X
C. Range of x
D. Zero
Answer» C. Range of x
36.

If y = bx + a the mean deviation of y is_____________?

A. S.D. of y
B. var (x)
C. S.D. of x
D. M.D.of x
Answer» E.
37.

If Y=-8X – 5 and SD of X is 3, then SD of Y is______________?

A. 8
B. 3
C. 24
D. None of these
Answer» D. None of these
38.

If y= ax + b the S.D. of y is _______________?

A. Mean Deviation of x
B. Minimum
C. S.D. of x
D. Maximum
Answer» D. Maximum
39.

If variance iv standard deviation is minimum if the deviation taken from______________?

A. Mode
B. Mean
C. Average
D. G.M.
Answer» C. Average
40.

If third moment about mean is equal to zero, then distribution is ______________?

A. Negatively skewed
B. Symmetrical
C. positively skewed
D. None of these
Answer» C. positively skewed
41.

If the standard deviation of the values 2,4,6,8 is 2.33, then the standard deviation of the values 4,6,8,10 is_____________?

A. 0
B. 2.58
C. 4.66
D. 2.33
Answer» C. 4.66
42.

If Skewed distribution the three averages mean, median and mode are ________?

A. Identical
B. Different
C. Zero
D. None of these
Answer» C. Zero
43.

If all values are same then the measure of dispersion will be?

A. 1
B. 0
C. Mean
D. Mode
E. Median
Answer» C. Mean
44.

First movement about mean is always equal to ___________?

A. S.D.
B. 1
C. Zero
D. None of these
Answer» D. None of these
45.

First moment about origin is always equal to _______________?

A. A.M.
B. variance
C. Zero
D. None of these
Answer» D. None of these
46.

Check the consistency used _____________?

A. Coefficient of dispersion
B. Mean coefficient
C. Coefficient of variance
D. Q.D.
Answer» D. Q.D.
47.

Absolute sum of deviations is minimum from _______________?

A. Coefficient of variance
B. S.D. of x
C. Mean
D. Normal
Answer» D. Normal