\overline{x} and \overline{y} are the arithmetic means of the runs of two batsmen {\A} and {\B} in 10 innings respectively and \sigma_A, \sigma_B are the standard deviations of their runs in them. If batsman {\A} is more consistent than {\B}, then he is also a higher run scorer only when [AP EAPCET 20 May 2024 Shift 1]

Correct Answer is : 0<σAσB<xy;xy>1

0< \frac{\sigma_A}{\sigma_B}< {\overline{x}}/{\overline{y}} ; {\overline{x}}/{\overline{y}}>1

{\overline{x}}/{\overline{y}}>\frac{\sigma_A}{\sigma_B}>1

{\overline{x}}/{\overline{y}}< \frac{\sigma_A}{\sigma_B}< 1

{\overline{x}}/{\overline{y}}>1 ; 1 \leq {\overline{x}}/{\overline{y}}< \frac{\sigma_A}{\sigma_B}

Statistics

Section: Mathematics

Question : 14 of 16

Marks: +1, -0

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

[AP EAPCET 20 May 2024 Shift 1]

0<‌
σA
σB
<‌
x
y
;‌
x
y
>1
‌
x
y
>‌
σA
σB
>1
‌
x
y
<‌
σA
σB
<1
‌
x
y
>1;1≤‌
x
y
<‌
σA
σB

Validate

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