If the mean of a data set is 50 and the coefficient of variation is 20%, the standard deviation is: MCQ with Answer and Explanation

If the mean of a data set is 50 and the coefficient of variation is 20%, the standard deviation is:
A. 5
B. 1000
C. 0.4
D. 10
Answer: Option D
Solution (By JKSSB Mock Tests)
CV = (SD/mean)×100 ⇒ 20 = (SD/50)×100 ⇒ SD = 10.

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Practice More Statistics Questions

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Which measure of central tendency is defined only when all observations are positive?
A. Mode
B. Median
C. Arithmetic mean
D. Geometric mean (for meaningful result) and Harmonic mean (for positive numbers, but GM is undefined for negatives/zero)

Correct Answer: Option D


Explanation:
Geometric mean requires all positive values; otherwise it's undefined or zero. Harmonic mean also requires non-zero values, but GM is more restricted. Actually, GM is defined only for positive data if we want real numbers. So C.

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Question #2
Which of the following is not a component of a vital statistics system?
A. Registration of deaths
B. Registration of births
C. Census enumeration
D. Registration of marriages

Correct Answer: Option C


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Census is a population count, not a continuous vital event registration. Vital statistics come from civil registration.

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Question #3
Which source is MOST appropriate for obtaining secondary data on national employment trends?
A. Interviewing employment exchange officials
B. Using data from the Periodic Labour Force Survey (PLFS) reports
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Correct Answer: Option B


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