A data set has a mean of 50 and a standard deviation of 5. If 3 is added to each value, the new coefficient of variation is: MCQ with Answer and Explanation

A data set has a mean of 50 and a standard deviation of 5. If 3 is added to each value, the new coefficient of variation is:
A. 12%
B. Unchanged
C. 10%
D. 9.43%
Answer: Option D
Solution (By JKSSB Mock Tests)
New mean = 53, SD unchanged=5. CV = (5/53)×100 ≈ 9.43%.

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Practice More Statistics Questions

Question #1
Consider the following statements about ogive: 1. It is a graph of cumulative frequency. 2. The median can be located from the point where cumulative frequency is N/2. 3. Ogive can be used to estimate mode. Which of the above is/are correct?
A. 2 and 3 only
B. 1 and 2 only
C. 1, 2 and 3
D. 1 and 3 only

Correct Answer: Option B


Explanation:
Ogive plots cumulative frequencies; median is at N/2. Mode is not found from ogive; it is found from histogram/frequency polygon.

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Question #2
The dependency ratio is the ratio of:
A. Children to elderly
B. Male to female population
C. Working population to total population
D. Dependent population (0-14 and 65+) to working-age population (15-64)

Correct Answer: Option D


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Dependency ratio = (population 0-14 + 65+) / (population 15-64), measuring economic burden.

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Question #3
In a frequency distribution, if the class marks are 5, 15, 25, 35, the class width is:
A. 10
B. 15
C. 20
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Correct Answer: Option A


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Difference between successive class marks = 15-5 = 10, so width = 10.

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