If mean of the following data is $44$ , find the missing frequency $(x)$ .
Class $0 - 20$ $20 - 40$ $40 - 60$ $60 - 80$ $80 - 100$
Frequency $12$ $x$ $6$ $7$ $9$

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Solution

class x f fx
0 - 20 10 12 120
20 - 40 30 x 30x
40 - 60 50 6 300
60 - 80 70 7 490
80 - 100 90 9 210
Sum 34+x 1720+30x
$¯ x = \frac{\sum f x}{\sum f}$
$\frac{1720 + 30 x}{34 + x} = 44$

$1720 + 30 x = 44 (34 + x)$
$1720 + 30 x = 1496 + 44 x$

$224 = 14 x$

$x = 16$

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Class	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$
Frequency	$12$	$x$	$6$	$7$	$9$

class	x	f	fx
0 - 20	10	12	120
20 - 40	30	x	30x
40 - 60	50	6	300
60 - 80	70	7	490
80 - 100	90	9	210
Sum		34+x	1720+30x

If mean of the following data is 44, find the missing frequency (x).Class0−2020−4040−6060−8080−100Frequency12x679

class x f fx 0 - 2010 12 120 20 - 40 30 x 30x 40 - 60 50 6 300 60 - 80 70 7 490 80 - 100 90 9 210 Sum 34+x 1720+30x ¯x=∑fx∑f1720+30x34+x=441720+30x=44(34+x)1720+30x=1496+44x224=14xx=16

If mean of the following data is $44$ , find the missing frequency $(x)$ .
Class $0 - 20$ $20 - 40$ $40 - 60$ $60 - 80$ $80 - 100$
Frequency $12$ $x$ $6$ $7$ $9$

class x f fx
0 - 20 10 12 120
20 - 40 30 x 30x
40 - 60 50 6 300
60 - 80 70 7 490
80 - 100 90 9 210
Sum 34+x 1720+30x
$¯ x = \frac{\sum f x}{\sum f}$
$\frac{1720 + 30 x}{34 + x} = 44$

$1720 + 30 x = 44 (34 + x)$
$1720 + 30 x = 1496 + 44 x$

$224 = 14 x$

$x = 16$