Prepare the frequency distribution table for the given set of scores:
$39, 16, 30, 37, 53, 15, 16, 60, 58, 26, 28, 19, 20, 12, 14, 24,$ $59, 21, 57, 38, 25, 36, 24, 15, 25, 41, 52, 45, 60, 63, 18, 26,$ $43, 36, 18, 27, 59, 63, 46, 25, 33, 46, 42, 48, 35, 64, 24$ .Take class intervals as $(10 - 20), (20 - 30), . . . .$ and answer the following:
(i) What does the frequency corresponding to the third class interval mean?
(ii) What is the size of each class interval? Find the midpoint of the class interval $30 - 40$ .
(iii) What is the range of the given set of scores?

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Solution

Class Interval

Frequency

10-20

20-30

30-40

40-50

50-60

60-70

10

12

7

7

8

3

$(i)$ For Cumulative Frequency $30 - 40$ frequency is $7$

$(i i)$ Size is $11$

Mid point for cumulative frequency $30 - 40$ is $35$ .

$(i i i)$ Range $= 70 - 10 = 60$

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42, 22, 55, 18, 50, 10, 33, 29, 17, 29, 29, 27, 34, 15, 40, 42, 40, 41, 35, 27,

44, 31, 38, 19, 54, 55, 38, 19, 20, 30, 42, 59, 15, 19, 27, 23, 40, 32, 28, 51.

Take the class intervals as 10-20, 20-30, 30-40, 40-50, 50-60.

From the frequency distribution table answer the following questions:

(i) What does the frequency corresponding to the class interval 20-30 indicate?

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(iii) Find the range of the scores.

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The marks scored by