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Question
Age (in years) of 6 children of two groups are recorded as below:
| Age (in Years) | |
| Group A | Group B |
| 7 | 7 |
| 7 | 9 |
| 9 | 11 |
| 8 | 12 |
| 10 | 12 |
| 10 | 12 |
- Find the mode and range for each group.
- Find the range and mode if the two groups are combined together.
Solution
From the given table, age of children in group A = 7 yr, 7 yr, 9 yr, 8 yr, 10 yr, 10 yr
Age of children in group 8 = 7 yr, 9 yr, 11 yr, 12 yr, 12 yr, 12 yr
a. Mode in group A = 7 yr and 10 yr. .......[∵ 7 yr and 10 yr occurs most frequent, i.e.2 times]
Range in group A = Maximum value – Minimum value
= 10 – 7
= 3
Mode in groups B = 12 yr ......[∵ 12yr is the most frequent, i.e. 3]
Range in group B = Maximum value – Minimum value
= 12 – 7
= 5
b. If both groups are combined together 7, 7, 7, 9, 9, 11, 8, 12, 10, 12, 10, 12.
Mode = 7 and 12 ......[∵ 7 and 12 occurs most frequent, i.e. 3 times]
∴ Range = Maximum value – Minimum value
= 12 – 7
= 5
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