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Statistics question

2023 · 12 Apr · Shift 1 · Q42

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JEE Main
Mathematics
Statistics
2023 · 12 Apr · Shift 1 · Q42

Statistics question

2023 · 12 Apr · Shift 1 · Q42

JEE MainMathematicsStatisticsNumerical+4 / −1

Let the positive numbers

a_{1}, a_{2}, a_{3}, a_{4}

and

a_{5}

be in a G.P. Let their mean and variance be

\frac{31}{10}

and

\frac{m}{n}

respectively, where

m

and

n

are co-prime. If the mean of their reciprocals is

\frac{31}{40}

and

a_{3}+a_{4}+a_{5}=14

, then

m+n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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