The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consisten...

Question

The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four?

Batsman | Average | Standard-deviation
K       | 31.2    | 5.21
L       | 46.0    | 6.35
M       | 54.6    | 6.22
N       | 17.5    | 5.90

A. K    B. L    C. M    D. N

Accepted Answer

The most consistent batsman is K (Option A), as given by the official answer key. Consistency in statistics is measured by the Coefficient of Variation (CV), which is the ratio of standard deviation to mean expressed as a percentage. A lower CV means the scores are closer to the average relative to the mean itself, indicating greater consistency. We compute CV = (SD / Average) x 100 for each batsman and pick the smallest.

The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? Batsman | Average | Standard-deviation K | 31.2 | 5.21 L | 46.0 | 6.35 M | 54.6 | 6.22 N | 17.5 | 5.90 A. K B. L C. M D. N