Find the mean of the following frequency distribution:

Class interval: 10-30 30-50 50-70 70-90 90-110 110-130
Frequency: $5$ $8$ $12$ $20$ $3$ $2$

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Solution

Answer:-
Class interval $x_{i}$ Frequency
$(f_{i})$ $f_{i} x_{i}$
10-30 20 5 100
30-50 40 8 320
50-70 60 12 720
70-90 80 20 1600
90-110 100 3 300
110-130 120 2 240

$Σ f_{i} = 50$ $Σ f_{i} x_{i} = 3280$
$m e a n = \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{3280}{50} = 65.6$

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Class interval:	10−30	30−50	50−70	70−90	90−110	110−130
Frequency:	5	8	12	20	3	2

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

C.I	10-30	30-50	50-70	70-90	90-110	110-130	130-150
f	4	7	5	9	5	6	4

C.I.	50-70	70-90	90-110	110-130	130-150	150-170
Frequency	8	12	13	27	18	22

C.I.	50-70	70-90	90-110	110-130	130-150	150-170
Frequency	8	12	13	27	18	22

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