Question Two batsmen A and B made the following runs in a series of cr | Statistics I 2079

Statistics I20795 marksNumerical: consistency using coefficient of variationMeasures of dispersion

Question

Two batsmen A and B made the following runs in a series of cricket matches. Who is a more consistent player, and why?

$\begin{array}{c|ccccc} A & 10 & 0 & 56 & 80 & 24 \\ B & 36 & 37 & 45 & 28 & 29 \\ \end{array}$

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Question

Two batsmen A and B made the following runs in a series of cricket matches. Who is a more consistent player, and why?

$$\begin{array}{c|ccccc} A & 10 & 0 & 56 & 80 & 24 \ B & 36 & 37 & 45 & 28 & 29 \ \end{array}$$

[5]

Batsman A runs: $10, 0, 56, 80, 24$ (n = 5) - Batsman B runs: $36, 37, 45, 28, 29$ (n = 5) Consistency is measured by the Coefficient of Variation (CV); the lower CV indicates the more consistent player. $CV = \frac{\sigma}{\bar{x}} \times 100$ --- $$\bar{x}A = \frac{10 + 0 + 56 + 80 + 24}{5}...

Batsman A runs: $10, 0, 56, 80, 24$ (n = 5) - Batsman B runs: $36, 37, 45, 28, 29$ (n = 5) Consistency is measured by the Coefficient of Variation (CV); the lower CV indicates the more consistent player. $$CV = \frac{\sigma}{\bar{x}} \times 100$$ --- $$\bar{x}A = \frac{10 + 0 + 56 + 80 + 24}{5}...