The variance of the following continuous freq | vedclass

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(B) First,we find the class marks $(x_i)$ for each interval:$0-4: x_1 = 2$$4-8: x_2 = 6$$8-12: x_3 = 10$$12-16: x_4 = 14$Calculation table:$\begin{arr

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$15$

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(B) First,we find the class marks $(x_i)$ for each interval:$0-4: x_1 = 2$$4-8: x_2 = 6$$8-12: x_3 = 10$$12-16: x_4 = 14$Calculation table:$\begin{array}{|c|c|c|c|c|}\hline 	ext{C.I.} & f_i & x_i & f_i x_i & f_i x_i^2 \ \hline 0-4 & 2 & 2 & 4 & 8 \ \hline 4-8 & 3 & 6 & 18 & 108 \ \hline 8-12 & 2 & 10 & 20 & 200 \ \hline 12-16 & 1 & 14 & 14 & 196 \ \hline 	ext{Total} & 8 & & 56 & 512 \ \hline\end{array}$Mean $(\bar{x})$ = $\frac{\Sigma f_i x_i}{\Sigma f_i} = \frac{56}{8} = 7$Variance $(\sigma^2)$ = $\frac{\Sigma f_i x_i^2}{\Sigma f_i} - (\bar{x})^2$$= \frac{512}{8} - (7)^2$$= 64 - 49 = 15$

$X$	$5$	$6$	$7$	$8$	$10$
Frequency	$3$	$7$	$4$	$2$	$4$

The variance of the following continuous frequency distribution is
$\begin{array}{|l|c|c|c|c|}\hline \text{Class interval} & 0-4 & 4-8 & 8-12 & 12-16 \\ \hline \text{Frequency} & 2 & 3 & 2 & 1 \\ \hline\end{array}$

Similar Questions

For the following frequency distribution,find the variance:
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The variance of the following continuous frequency distribution is$\begin{array}{|l|c|c|c|c|}\hline \text{Class interval} & 0-4 & 4-8 & 8-12 & 12-16 \\ \hline \text{Frequency} & 2 & 3 & 2 & 1 \\ \hline\end{array}$