The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12 and 10 were wrongly recorded. If σ is the standard deviation of the data after omitting the two wrong observations from the data, then 38 σ² is equal to _ _ _ _ _ _.

Statistics and Probability: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jul, Evening shift · Q52

JEE Main 202226 Jul, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12 and 10 were wrongly recorded. If

\sigma

is the standard deviation of the data after omitting the two wrong observations from the data, then

38 \sigma^{2}

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

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