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Question
A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household:
| Family size | 1 – 3 | 3 – 5 | 5 – 7 | 7 – 9 | 9 – 11 |
| Numbers of Families | 7 | 8 | 2 | 2 | 1 |
Find the median of this data.
Solution
| Family Size |
Number of families (f) |
Cumulative frequency (Cf) |
| 1 – 3 | 7 | 7 |
| 3 – 5 | 8 | 15 |
| 5 – 7 | 2 | 17 |
| 7 – 9 | 2 | 19 |
| 9 – 11 | 1 | 20 = N |
Median = `N^(th)/2` term
= 10th term
Median class = 3 – 5
Median = `l + (N/2 - Cf)/f xx h`
= `3 + (10 - 7)/8 xx 2`
= 3 + 0.75
∴ Median = 3.75
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