Calculate the mean for the following frequency distribution:
Marks $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ $60 - 70$ $70 - 80$
Frequency $3$ $7$ $10$ $6$ $8$ $2$ $4$

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Solution

Marks $(I)$

10-20

20-30

30-40

40-50

50-60

60-70

70-80

$x_{i}$

15

25

35

45

55

65

75

$f_{i}$

3

7

10

6

8

2

4

$f_{i} x_{i}$

45

175

350

270

440

130

300

$¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{1710}{40} = 42.75$

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Similar questions

Calculate the mean for the following frequency distribution:

Marks	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
Frequency	3	7	10	6	8	2	4

Class	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
Frequency	$2$	$3$	$8$	$14$	$8$	$3$	$2$

Class interval	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
Frequency	$4$	$6$	$8$	$10$	$12$	$14$	$7$	$5$

Class interval	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
Frequency	$4$	$6$	$8$	$10$	$12$	$14$	$7$	$5$

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