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Question

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


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

$$f_ix_i$$

45

175

350

270

440

130

300

 $$\bar x=\cfrac{\sum f_ix_i}{\sum f_i}=\cfrac{1710}{40}=42.75$$


Mathematics

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