The mean and S.D. of 1, 2, 3, 4, 5, 6 is | vedclass

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Question

(a) Mean $\bar x = \frac{{1 + 2 + 3 + 4 + 5 + 6}}{6}$

$ = \frac{{21}}{6} = \frac{7}{2}$

$S.D.$ $ = \sigma = \sqrt {\frac{1}{n}\Sigma x_i^2 - {{(

Vedclass · Accepted Answer

$\frac{7}{2},\,\sqrt {\frac{{35}}{{12}}} $

Vedclass · Answer

(a) Mean $\bar x = \frac{{1 + 2 + 3 + 4 + 5 + 6}}{6}$

$ = \frac{{21}}{6} = \frac{7}{2}$

$S.D.$ $ = \sigma = \sqrt {\frac{1}{n}\Sigma x_i^2 - {{(\bar x)}^2}} $

$ = \sqrt {\frac{1}{6}(1 + 4 + 9 + 16 + 25 + 36) - \frac{{49}}{4}} $

$ = \sqrt {\frac{{91}}{6} - \frac{{49}}{4}} $

$ = \sqrt {\frac{{182 - 147}}{{12}}} $

$ = \sqrt {\frac{{35}}{{12}}} $.

${x_i}$	$4$	$8$	$11$	$17$	$20$	$24$	$32$
${f_i}$	$3$	$5$	$9$	$5$	$4$	$3$	$1$

$X$	$1$	$3$	$5$	$7$	$9$
$(f)$	$4$	$24$	$28$	$\alpha$	$8$

The mean and $S.D.$ of $1, 2, 3, 4, 5, 6$ is

Similar Questions

Find the variance and standard deviation for the following data:

${x_i}$ $4$ $8$ $11$ $17$ $20$ $24$ $32$

${f_i}$ $3$ $5$ $9$ $5$ $4$ $3$ $1$

Let the mean of the data

$X$ $1$ $3$ $5$ $7$ $9$

$(f)$ $4$ $24$ $28$ $\alpha$ $8$

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