Data A has a mean of 100 and standard deviation of 10. Data B has a mean of 1000 and standard deviation of 50. Which data shows more variability? Options: A . &nbsp Data A shows more variability B . &nbsp Data B shows more variability C . &nbsp Both show equal variability D . &nbsp Nothing can be concluded

Data A has a mean of 100 and standard deviation of 10. Data B has a mean of 10

Question

Data A has a mean of 100 and standard deviation of 10. Data B has a mean of 1000 and standard deviation of 50. Which data shows more variability?

Options:

A . Data A shows more variability

B . Data B shows more variability

C . Both show equal variability

D . Nothing can be concluded

Answer: Option A
:
A
To compare dissimilar data, relative measures should be used. Here, the coefficient of variation of set A and set B can be compared.

C O V_{A} = \frac{10}{100} \times 100 = 10 %

C O V_{B} = \frac{50}{1000} \times 100 = 5 %

Hence, data A shows more variability.

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