Let $$m$$ be the mean and $$\sigma$$ be the standard deviation of the distribution: | $$x_i$$ | $$0$$ | $$1$$ | $$2$$ | $$3$$ | $$4$$ | $$5$$ | |---|---|---|---|---|---|---| | $$f_i$$ | $$k+2$$ | $$2k$$ | $$k^2-1$$ | $$k^2-1$$ | $$k^2+1$$ | $$k-3$$ | where $$\sum f_i = 62$$. If $$[x]$$ denotes the greatest integer $$\leq x$$, then $$[\mu^2 + \sigma^2]$$ is equal to:

Let m be the mean and σ be the standard deviation of the distribu… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 10 April, Shift 2Measures of Dispersion

Let $m$ be the mean and $\sigma$ be the standard deviation of the distribution:

$x_i$	$0$	$1$	$2$	$3$	$4$	$5$
$f_i$	$k+2$	$2k$	$k^2-1$	$k^2-1$	$k^2+1$	$k-3$

where $\sum f_i = 62$ . If $[x]$ denotes the greatest integer $\leq x$ , then $[\mu^2 + \sigma^2]$ is equal to:

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