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Statistics question

2024 · 29 Jan · Shift 2 · Q38

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JEE Main
Mathematics
Statistics
2024 · 29 Jan · Shift 2 · Q38

Statistics question

2024 · 29 Jan · Shift 2 · Q38

JEE MainMathematicsStatisticsMCQ+4 / −1

If the mean and variance of five observations are

\frac{24}{5}

and

\frac{194}{25}

respectively and the mean of the first four observations is

\frac{7}{2}

, then the variance of the first four observations in equal to

A
$\frac{5}{4}$
B
$\frac{4}{5}$
C
$\frac{105}{4}$
D
$\frac{77}{12}$

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