Question

The marks scored by 60 students in an examination in statistics are given below. From a frequency distribution with class intervals of 10 and calculate the arithmetic mean
6 10 58 56 0 25 32 35 35 9
78 17 60 50 35 38 30 10 48 5
68 48 35 30 31 41 23 23 50 71
19 25 35 40 46 42 45 25 60 41
35 36 38 35 33 46 28 31 35 42
46 38 39 45 48 50 28 29 31 55​

Answer 1

Explanation:

The frequency distribution table for the given marks can be drawn as:

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(i) The class interval (40−49) has the highest frequency and the class interval (90−99) has the lowest frequency.

1. (ii) In the class interval (30−39), the lower limit is 30 − 0.5 = 29.5 and the upper limit is

(iii) The range of the given distribution is 97− 32 = 65.

39 + 0.5 = 39.5.

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