Test Index

Measures of Central Tendency and Dispersion

Question : 152 of 211

Marks: +1, -0

The C.V. of 4,6,8,10,12 is

Solution:

Concept:

Coefficient of Variation (C.V.) is the ratio of standard deviation to mean, expressed as a percentage.

Explanation:

Mean

\bar{x} = \frac{4+6+8+10+12}{5} = \frac{40}{5} = 8

Deviations from mean:

-4, -2, 0, 2, 4

Squares:

16, 4, 0, 4, 16

. Sum =

40

Variance

\sigma^2 = \frac{40}{5} = 8

Standard deviation

\sigma = \sqrt{8} \approx 2.828

C.V.

= \frac{\sigma}{\bar{x}} \times 100\% = \frac{2.828}{8} \times 100\% = 35.35\%

Answer:

35.35\%

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