We have the following frequency distribution of the size of 51 households. Calculate the arithmetic median:
Size : |
2 |
3 |
4 |
5 |
6 |
7 |
No. of households |
2 |
3 |
9 |
21 |
11 |
5 |
Size |
No. of |
Cumulative Frequencies (cf) |
2 3 4 5 6 7 |
2 3 9 21 11 5 |
2 5 14 35 46 51 |
Σ f =51 |
Median = Value of N + 1 th item
2
= 15 + 1
2
= Value of 26th item = 5