Find the median of the following frequency distribution:
| Value (x) | 10 | 12 | 14 | 16 | 18 |
|---|---|---|---|---|---|
| Frequency (f) | 3 | 5 | 6 | 4 | 2 |
Answer: C
First, find the total frequency (N) and the cumulative frequency (cf).
N = 3+5+6+4+2 = 20.
The median term is the average of the N/2 and (N/2)+1 terms, i.e., the 10th and 11th terms.
Both the 10th and 11th terms fall in the group where the value is 14. Therefore, the median is 14.