Calculate the mean for the following frequency distribution:
Marks $15 - 19$ $20 - 24$ $25 - 29$ $30 - 34$ $35 - 39$ $40 - 44$
Frequency $6$ $5$ $9$ $12$ $6$ $2$

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Solution

Marks $(I)$

15-19

20-24

25-29

30-34

35-39

40-44

$x_{i}$

17

22

27

32

37

42

$f_{i}$

6

5

9

12

6

2

$f_{i} x_{i}$

102

110

243

384

222

84

$¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{1145}{40} = 57.25$

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Similar questions

Calculate the mean for the following frequency distribution:

Marks	15 – 19	20 – 24	25 – 29	30 – 34	35 – 39	40 – 44
Frequency	6	5	9	12	6	2

125

22.12

f_{1}

f_{2}

Class	$0 - 4$	$5 - 9$	$10 - 14$	$15 - 19$	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$	$40 - 44$
Frequency	$3$	$8$	$12$	$f_{1}$	$35$	$21$	$f_{2}$	$6$	$2$

Class interval	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$	$40 - 44$	$45 - 49$
Frequency	$15$	$25$	$28$	$12$	$12$	$8$

Age of the donor (Yrs.)	20 - 24	25 - 29	30 - 34	35 - 39	40 - 44	45 - 49
No. of blood doners	38	46	35	24	15	12

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