Find the mean of the following data:
$x$ $19$ $21$ $23$ $25$ $27$ $29$ $31$
$f$ $13$ $15$ $16$ $18$ $16$ $15$ $13$

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Solution

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

$\Rightarrow$ mean = $\frac{(19 \times 13) + (21 \times 15) + (23 \times 16) + (25 \times 18) + (27 \times 16) + (29 \times 15) + (31 \times 13)}{13 + 15 + 16 + 18 + 16 + 15 + 13}$

$\Rightarrow$ mean = $\frac{247 + 1575 + 368 + 450 + 432 + 435 + 403}{13 + 15 + 16 + 18 + 16 + 15 + 13}$

$\Rightarrow m e a n = 25$

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Similar questions

x:	19	21	23	25	27	29	31
f:	13	15	16	18	16	15	13

x:	19	21	23	25	27	29	31
f:	13	15	16	18	16	15	13

Age( in years)	$19$	$21$	$23$	$25$	$27$	$29$	$31$
Number of persons	$13$	$15$	$20$	$18$	$16$	$17$	$13$

Find the mean of the following data:

$\begin{matrix} x : & 19 & 21 & 23 & 25 & 27 & 29 & 31 f : & 13 & 15 & 16 & 18 & 16 & 15 & 13 \end{matrix}$

Age (in years)	19	21	23	25	27	29	31
Number of persons	13	15	16	18	16	15	13

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