Statistics MCQs with answers

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Q. The sum of 10 items is 12 and the sum of their squares is 18. The standard deviation is

(A) 1/5
(B) 2/5
(C) 3/5
(D) 4/5
Correct Answer - Option (C)

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Q. The algebraic sum of the deviation of 20 observations measured from 30 is 2. So, the mean of observations is

(A) 30.0
(B) 30.1
(C) 30.2
(D) 30.3
Correct Answer - Option (B)

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Q. The coefficient of variation is computed by

(A) S.D/.Mean×100
(B) S.D./Mean
(C) Mean./S.D×100
(D) Mean/S.D.
Correct Answer - Option (B)

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Q. When tested the lives (in hours) of 5 bulbs were noted as follows: 1357, 1090, 1666, 1494, 1623. The mean of the lives of 5 bulbs is

(A) 1445
(B) 1446
(C) 1447
(D) 1448
Correct Answer - Option (B)

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Q. If mode of a series exceeds its mean by 12, then mode exceeds the median by

(A) 4
(B) 8
(C) 6
(D) 12
Correct Answer - Option (B)

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Q. The median and SD of a distributed are 20 and 4 respectively. If each item is increased by 2, the new median and SD are

(A) 20, 4
(B) 22, 6
(C) 22, 4
(D) 20, 6
Correct Answer - Option (C)

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Q. If Mean = Median = Mode, then it is

(A) Symmetric distribution
(B) Asymmetric distribution
(C) Both symmetric and asymmetric distribution
(D) None of these
Correct Answer - Option (A)

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Q. If the difference of mode and median of a data is 24, then the difference of median and mean is

(A) 12
(B) 24
(C) 8
(D) 36
Correct Answer - Option (A)

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Q. If r is the correlation coefficient, then

(A) |r| ≤ 1
(B) r ≤ 1
(C) |r| ≥ 1
(D) r ≥ 1
Correct Answer - Option (A)

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Q. If the varience of the data is 121 then the standard deviation of the data is

(A) 121
(B) 11
(C) 12
(D) 21
Correct Answer - Option (B)

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Q. If the mean of the following data is 20.6, then the value of p is
x = 10  15   p   25  35
f =   3   10  25   7    5

(A) 30
(B) 20
(C) 25
(D) 10
Correct Answer - Option (B)

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Q. If one of the observation is zero then geometric mean is

(A) (Sum of observation)/n
(B) (Multiplication of all observations)n
(C) (Multiplication of all observations)1/n
(D) 0
Correct Answer - Option (D)

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Q. Which one is measure of dispersion method

(A) Renge
(B) Quartile deviation
(C) Mean deviation
(D) all of the above
Correct Answer - Option (D)

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Q. If a variable takes discrete values x + 4, x – 7/2, x – 5/2, x – 3, x – 2, x + 1/2, x – 1/2, x + 5 (x > 0), then the median is

(A) x – 5/4
(B) x – 1/2
(C) x – 2
(D) x + 5/4
Correct Answer - Option (A)

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Q. If covariance between two variables is 0, then the correlation coefficient between them is

(A) nothing can be said
(B) 0
(C) positive
(D) negative
Correct Answer - Option (B)

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Q. The mean of a group of 100 observations was found to be 20. Later on, it was found that three observations were incorrect, which was recorded as 21, 21 and 18. Then the mean if the incorrect observations are omitted is

(A) 18
(B) 20
(C) 22
(D) 24
Correct Answer - Option (B)

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Q. Varience is independent of change of

(A) origin only
(B) scale only
(C) origin and scale both
(D) None of these
Correct Answer - Option (A)

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Q. Let x1, x2, x3, ……… , xn, be n observations and X be the arithmetic mean. Then formula for the standard deviation is given by

(A) ∑(xi – mean)²
(B) ∑(xi – mean)2 /n
(C) √{∑(xi – mean)²/n}
(D) None of these
Correct Answer - Option (C)

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