Calculate the mean for the following distribution:
$x$ : $5$ $6$ $7$ $8$ $9$
$f$ : $4$ $8$ $14$ $11$ $3$

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Solution

Mean = $\frac{\sum x_{i} f_{i}}{\sum f_{i}}$

$\Rightarrow$ mean = $\frac{(5 \times 4) + (6 \times 8) + (7 \times 14) + (8 \times 11) + (9 \times 3)}{4 + 8 + 14 + 11 + 3}$

$\Rightarrow$ mean = $\frac{20 + 48 + 98 + 88 + 27}{4 + 8 + 14 + 11 + 3} = 7.025$

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Similar questions

x:	5	6	7	8	9
f:	4	8	14	11	3

x :	5	6	7	8	9
f :	4	8	14	11	3

p

7.68

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

The approximate mean for the following distribution is 7

$\begin{matrix} x : & 5 & 6 & 7 & 8 & 9 f : & 4 & 8 & 14 & 11 & 3 \end{matrix}$

p

7.5

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

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