JEE MATHEMATICS MCQ: STATISTICS

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Analyzing +4 | -1

A data consists of

\mathrm{n}

observations:

x_1, x_2, \ldots, x_{\mathrm{n}} \text {. If } \sum_{i=1}^{\mathrm{n}}\left(x_i+1\right)^2=9 \mathrm{n} \text { and } \sum_{i=1}^{\mathrm{n}}\left(x_i-1\right)^2=5 \mathrm{n}

then the standard deviation of this data is:

View answer and explanation

Correct option: B

\sqrt{5}

Option B (

\sqrt{5}

) is correct because the standard deviation is calculated using the given summations and the formula for variance.

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