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JEE MATHEMATICS MCQ: STATISTICS

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Analyzing +4 | -1
The mean square deviation of a set of m\mathrm{m} observations y1,y2….ymy_1, y_2 \ldots . y_m about a point KK is defined as 1m∑i=1m(yi−k)2\frac{1}{m} \sum\limits_{{i=1}}^{m}\left(y_i-k\right)^2. The mean square deviation about -3 and 3 are 16 and 8 respectively, then standard deviation of this set of observation?
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Correct option: A
233\frac{\sqrt{23}}{3}
Option A (233\frac{\sqrt{23}}{3}) is correct because it is the standard deviation calculated from the given mean square deviations about -3 and 3.

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