Find the mean of the following frequency distribution:

Class interval: 25-35 35-45 45-55 55-65 65-75
Frequency: $6$ $10$ $8$ $12$ $4$

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Solution

Answer:-
Class interval Frequency $x_{i}$ $f_{i} x_{i}$
25-35 6 30 180
35-45 10 40 400
45-55 8 50 400
55-65 12 60 720
65-75 4 70 280
$Σ f_{i} = 40$ $Σ f_{i} x_{i} = 1980$
$M e a n = \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{1980}{40} = 49.5$

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Class Interval	25-35	35-45	45-55	55-65	65-75
Frequency	20	25	5	7	4

Mark obtained	25-35	35-45	45-55	55-65	65-75
Number of students	7	31	33	17	11

Expenditure on water (in Rs.)	15-20	20-25	25-30	30-35	35-40	40-45	45-50	50-55	55-60	60-65	65-70
No. of Houses	7	5	7	8	9	11	7	5	4	4	3

Class interval :	5 – 10	10 – 15	15 – 25	25 – 45	45 – 75
Frequency :	6	12	10	8	15

Rent In Rs.	15-25	25-35	35-45	45-55	55-65	65-75	75-85	85-95
No. of Houses	$8$	$10$	$15$	$25$	$40$	$20$	$15$	$7$

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Class interval:	25-35	35-45	45-55	55-65	65-75
Frequency:	$6$	$10$	$8$	$12$	$4$