$\bar{x}$ and $\bar{y}$ are the arithmetic means of the runs of two batsmen $A$ and $B$ in $10$ innings respectively,and $\sigma_{A}$ and $\sigma_{B}$ are the standard deviations of their runs. If batsman $A$ is more consistent than $B$,then he is also a higher run scorer only when

  • A
    $0 < \frac{\sigma_{A}}{\sigma_{B}} < \frac{\bar{x}}{\bar{y}}$ and $\frac{\bar{x}}{\bar{y}} > 1$
  • B
    $\frac{\bar{x}}{\bar{y}} > \frac{\sigma_{A}}{\sigma_{B}} > 1$
  • C
    $\frac{\bar{x}}{\bar{y}} < \frac{\sigma_{A}}{\sigma_{B}} > 1$
  • D
    $\frac{\bar{x}}{\bar{y}} > 1$ and $1 \leq \frac{\bar{x}}{\bar{y}} < \frac{\sigma_{A}}{\sigma_{B}}$

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