Question
For the recorded observation, the coefficient of variation is 20 and the variance is 16. The arithmetic mean is:
This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is
20
Step 1 — Standard deviation:
\[\sigma=\sqrt{\text{Variance}}=\sqrt{16}=4\]
Step 2 — Apply the CV formula \(\text{CV}=\dfrac{\sigma}{\bar{x}}\times 100\):
\[20=\dfrac{4}{\bar{x}}\times 100 \implies \bar{x}=\dfrac{400}{20}=20\]
The arithmetic mean is 20.
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Important Questions from Coefficient of Variation
Consider the following statements:
1. Coefficient of variation depends on the unit of measurement of the variable.
2. Range is measure of dispersion.
3. Mean deviation is least when measured about median.
Which of the above statements are correct?In a study of two groups, the following results were obtained:
Group A
Group B
Sample size
20
25
Sample mean
22
23
Sample standard deviation
10
12
Which of the following statements is correct?
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