If the mean for the following distribution by using deviation method
$x_{i}$ 15 20 22 24 25 30 33 38
Frequency 5 8 11 20 23 18 13 2
is $\frac{m}{100}$ .Find $m$

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Solution

$x_{i}$

Frequency( $f_{i}$ )

$f_{i} x_{i}$

$15$

$5$

$75$

$20$

$8$

$160$

$22$

$11$

$242$

$24$

$20$

$580$

$25$

$23$

$575$

$30$

$18$

$540$

$33$

$13$

$429$

$38$

$2$

$76$

$\sum f_{i} =$ 100

$\sum f_{i} x_{i} =$ 2577

Arithmeric Mean $= \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{2577}{100} = 25.77$

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$x_{i}$	Frequency( $f_{i}$ )	$f_{i} x_{i}$
$15$	$5$	$75$
$20$	$8$	$160$
$22$	$11$	$242$
$24$	$20$	$580$
$25$	$23$	$575$
$30$	$18$	$540$
$33$	$13$	$429$
$38$	$2$	$76$
	$\sum f_{i} =$ 100	$\sum f_{i} x_{i} =$ 2577

If the mean for the following distribution by using deviation methodxi1520222425303338Frequency5811202318132is m100.Find m

xi Frequency(fi) fixi 15 5 75 20 8 160 22 11 242 24 20 580 25 23 575 30 18 540 33 13 429 38 2 76 ∑fi=100 ∑fixi=2577 Arithmeric Mean =∑fixi∑fi=2577100=25.77

If the mean for the following distribution by using deviation method
$x_{i}$ 15 20 22 24 25 30 33 38
Frequency 5 8 11 20 23 18 13 2
is $\frac{m}{100}$ .Find $m$