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Question

Prepare a frequency distribution table for the scores given:

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?

(ii) In which class intervals are the scores 10, 20 and 30 included?

(iii) Find the range of the scores.

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Solution

The frequency distribution table below represents the given scores.

(i) The frequency corresponding to the class interval 20−30 is 10.

(ii) The score 10 is included in the class interval 10−20.

The score 20 is included in the class interval 20−30.

The score 30 is included in the class interval 30−40.

(iii) The range of the given scores is 59 − 10 = 49.


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