Question

(b) Tabulate the following marks in a grouped frequency distribution.
74 49 103 95 90 118 52 88 101 96 72
56 64 110 97 59 62 96 82 65 85 105
116 91 83 99 52 76 84 89 11 104 96
84 62 58 66 100 80 54 75 55 99 104
78 66 96 83 57 60 51 114 120 121 92
88 64 63 95 78

Answer 1

The grouped frequency distribution table with class intervals of 10 is given below.

To create a grouped frequency distribution, we need to determine the intervals (bins) and count the frequency of values falling within each interval. Here's a possible approach to creating a grouped frequency distribution for the given marks:

First, let's sort the marks in ascending order:

11, 49, 51, 52, 52, 54, 55, 56, 57, 58, 59, 60, 62, 62, 63, 64, 64, 65, 66, 66, 72, 74, 75, 76, 78, 78, 80, 82, 83, 83, 84, 84, 85, 88, 88, 89, 90, 91, 92, 95, 95, 96, 96, 96, 97, 99, 99, 100, 101, 103, 104, 104, 105, 110, 114, 116, 118, 120, 121

Next, let's determine the intervals for the grouped frequency distribution. One possible way is to use intervals of width 10. We can start from the minimum value (11) and create intervals like 10-19, 20-29, and so on until the maximum value (121).

Using these intervals, we can count the frequency of values falling within each interval:

Intervals | Frequency

10-19         |       1

20-29       |       0

30-39       |      0

40-49       |      2

50-59       |      7

60-69       |      6

70-79        |      5

80-89       |      7

90-99       |      6

100-109    |      4

110-119      |      3

120-129    |      2

This table represents the grouped frequency distribution for the given marks. The first column shows the intervals, and the second column shows the frequency (count) of values falling within each interval.

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