(a) Use the information given in the adjoining histogram to construct a frequency table.

(b) Use this table to construct an ogive

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Solution

(a)

Class Interval

Frequency

c.f.

8-12

9

9

12-16

16

25

16-20

22

47

20-24

18

65

24-28

12

77

28-32

4

81

(b) Now plot the points (12, 9), (16, 25), (20, 47), (24, 65), (28, 77), (32, 81) and join them to obtain an ogive.

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$\begin{matrix} Class mark & 12.5 & 17.5 & 22.5 & 27.5 & 32.5 & 37.5 & 42.5 Frequency & 12 & 17 & 22 & 27 & 30 & 21 & 16 \end{matrix}$

(a) From the distribution, given above, construct a frequency table.

(b) Use the table obtained in part (a) to draw : (i) a histogram, (ii) an ogive.

Using the information from the given histogram which of the following is one of the points used to construct the corresponding ogive?

From the given histogram , construct the frequency table

Marks	1 - 10	11 - 20	21 - 30	31 - 40	41 - 50	51 - 60	61 - 70	71 - 80
Frequency	3	8	12	14	10	6	5	2

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