The mean of the following frequency distribution is
Class interval 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50
Frequency 4 6 10 16 14

25

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35

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30

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31

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Solution

The correct option is B $31$

CI

Frequency (fi)

xi

fixi

0-10

4

(10+0)/2=5

20

10-20

6

(10+20)/2=15

90

20-30

10

(20+30)/2=25

250

30-40

16

(30+40)/2=35

560

40-50

14

(40+50)/2=45

630

Ʃfi = 50

Ʃfixi = 1550

$m e a n = \frac{\sum f i \times x i}{\sum f i}$

$= \frac{1550}{50}$

$= 31$

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No. of workers f:	7	10	15	8	10

Class-interval:	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency:	$5$	$8$	$7$	$12$	$28$	$20$	$10$	$10$

Class-interval:	10-15	15-20	20-25	25-30	30-35	35-40
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Class-interval:	25-30	30-35	35-40	40-45	45-50	50-60
Frequency:	$25$	$34$	$50$	$42$	$38$	$14$

Class Interval:	0-10	10-20	20-30	30-40	40-50
Frequency	12	13	25	20	10

Class Interval	Frequency
0 - 10 10 - 20 20 - 30 30 - 40 40 - 50	4 6 10 16 14

Class interval	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$
Frequency	$8$	$11$	$6$	$13$	$12$

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Class interval	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50
Frequency	4	6	10	16	14