Find the mean of the following frequency dist | vedclass

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(D) To find the mean,we first calculate the class mark $(x_i)$ for each interval,where $x_i = \frac{	ext{Lower Limit} + 	ext{Upper Limit}}{2}$.
$1$

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$38$

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(D) To find the mean,we first calculate the class mark $(x_i)$ for each interval,where $x_i = \frac{	ext{Lower Limit} + 	ext{Upper Limit}}{2}$.
$1$. For $21-25$,$x_1 = 23$,$f_1 = 18$,$f_1x_1 = 414$.
$2$. For $26-30$,$x_2 = 28$,$f_2 = 32$,$f_2x_2 = 896$.
$3$. For $31-35$,$x_3 = 33$,$f_3 = 30$,$f_3x_3 = 990$.
$4$. For $36-40$,$x_4 = 38$,$f_4 = 40$,$f_4x_4 = 1520$.
$5$. For $41-45$,$x_5 = 43$,$f_5 = 25$,$f_5x_5 = 1075$.
$6$. For $46-50$,$x_6 = 48$,$f_6 = 15$,$f_6x_6 = 720$.
$7$. For $51-55$,$x_7 = 53$,$f_7 = 40$,$f_7x_7 = 2120$.
Sum of frequencies $(\sum f_i)$ = $18 + 32 + 30 + 40 + 25 + 15 + 40 = 200$.
Sum of products $(\sum f_ix_i)$ = $414 + 896 + 990 + 1520 + 1075 + 720 + 2120 = 7735$.
Mean $(\bar{x})$ = $\frac{\sum f_ix_i}{\sum f_i} = \frac{7735}{200} = 38.675$.

Class	$21-25$	$26-30$	$31-35$	$36-40$	$41-45$	$46-50$	$51-55$
Frequency	$18$	$32$	$30$	$40$	$25$	$15$	$40$

Marks (out of $90$)	Number of candidates
More than or equal to $80$	$4$
More than or equal to $70$	$6$
More than or equal to $60$	$11$
More than or equal to $50$	$17$
More than or equal to $40$	$23$
More than or equal to $30$	$27$
More than or equal to $20$	$30$
More than or equal to $10$	$32$
More than or equal to $0$	$34$

Class	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$	$30-35$
Frequency	$11$	$20$	$35$	$20$	$8$	$6$

Daily wages (in $Rs.$)	Number of workers
$100-120$	$10$
$120-140$	$15$
$140-160$	$20$
$160-180$	$22$
$180-200$	$18$
$200-220$	$12$
$220-240$	$13$

Find the mean of the following frequency distribution:

Class $21-25$ $26-30$ $31-35$ $36-40$ $41-45$ $46-50$ $51-55$

Frequency $18$ $32$ $30$ $40$ $25$ $15$ $40$

(in $.675$)

Similar Questions

For some given data,if $M + \bar{x} = 165$ and $M - \bar{x} = 1$,then $Z = \dots$

Find the mean,median and mode of the following frequency distribution:

Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$

Frequency $11$ $20$ $35$ $20$ $8$ $6$

Daily wages of $110$ workers,obtained in a survey,are tabulated below:

Daily wages (in $Rs.$) Number of workers

$100-120$ $10$

$120-140$ $15$

$140-160$ $20$

$160-180$ $22$

$180-200$ $18$

$200-220$ $12$

$220-240$ $13$

Compute the mean daily wages of these workers (in $Rs.$).

The formula to find the mean of an ungrouped data is ........

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Find the mean of the following frequency distribution: Class $21-25$ $26-30$ $31-35$ $36-40$ $41-45$ $46-50$ $51-55$ Frequency $18$ $32$ $30$ $40$ $25$ $15$ $40$ (in $.675$)