If the mean of the following frequency distribution is $8$ , find the value of $k$ .
x 2 4 6 8 10 12
f 4 7 10 16 k 3

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Solution

Mean $= \frac{4 + 7 + 10 + 16 + k + 3}{6}$

Given that,
Mean $= 8$
$40 + k = 8 \times 6$
$k = 8$

Hence, this is the answer.

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Similar questions

If the mean of the following frequency distribution is $7.2$ find value of $k$ .

$\begin{matrix} x & 2 & 4 & 6 & 8 & 10 & 12 f & 4 & 7 & 10 & 16 & k & 3 \end{matrix}$

14

k

\begin{matrix} x f \end{matrix} \begin{matrix} 57 \end{matrix} \begin{matrix} 106 \end{matrix} \begin{matrix} 158 \end{matrix} \begin{matrix} 20 K \end{matrix} \begin{matrix} 255 \end{matrix}

7

p

variables	2	3	5	10	13
Frequency	4	8	p	12	6

8

^{'} k^{'}

$x$	$2$	$4$	$6$	$8$	$10$	$12$
$f r e q u e n c y = f$	$4$	$7$	$10$	$16$	$k$	$3$

x	3	5	7	9	11	13
f	6	8	15	p	8	4

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