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(D) To find the mean $(\bar{x})$ of a frequency distribution,we use the formula: $(\bar{x}) = \frac{\sum f_i x_i}{\sum f_i}$.
Step $1$: Calculate the

Vedclass · Accepted Answer

$4.10$

Vedclass · Answer

(D) To find the mean $(\bar{x})$ of a frequency distribution,we use the formula: $(\bar{x}) = \frac{\sum f_i x_i}{\sum f_i}$.
Step $1$: Calculate the sum of frequencies $(\sum f_i)$:
$\sum f_i = 5 + 9 + 12 + 17 + 14 + 10 + 6 = 73$.
Step $2$: Calculate the sum of the products of scores and frequencies $(\sum f_i x_i)$:
$f_1 x_1 = 1 	imes 5 = 5$
$f_2 x_2 = 2 	imes 9 = 18$
$f_3 x_3 = 3 	imes 12 = 36$
$f_4 x_4 = 4 	imes 17 = 68$
$f_5 x_5 = 5 	imes 14 = 70$
$f_6 x_6 = 6 	imes 10 = 60$
$f_7 x_7 = 7 	imes 6 = 42$
$\sum f_i x_i = 5 + 18 + 36 + 68 + 70 + 60 + 42 = 299$.
Step $3$: Calculate the mean:
$(\bar{x})= \frac{299}{73} \approx 4.0958... \approx 4.10$.

Score $(x)$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
Frequency $(f)$	$5$	$9$	$12$	$17$	$14$	$10$	$6$

$x$	$f$
$10$	$17$
$30$	$5a+3$
$50$	$32$
$70$	$7a-11$
$90$	$19$

Score	Frequency
$1$	$15$
$2$	$13$
$3$	$20$
$4$	$17$
$5$	$20$
$6$	$15$

Find the mean of the following frequency distribution:

Score $(x)$ $1$ $2$ $3$ $4$ $5$ $6$ $7$

Frequency $(f)$ $5$ $9$ $12$ $17$ $14$ $10$ $6$

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Score Frequency

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$2$ $13$

$3$ $20$

$4$ $17$

$5$ $20$

$6$ $15$

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Find the mean of the following frequency distribution: Score $(x)$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ Frequency $(f)$ $5$ $9$ $12$ $17$ $14$ $10$ $6$