Find the medium of the following frequency distribution:
Variables | 3 | 6 | 10 | 12 | 7 | 15 |
Frequency | 3 | 4 | 2 | 8 | 13 | 10 |
Arrange the data in ascending form:
Variables | 3 | 6 | 7 | 10 | 12 | 15 |
Frequency | 3 | 4 | 13 | 2 | 8 | 10 |
Draw the cumulative frequency table;
Variables(x) | Frequency(f) | Cumulative frequency |
3 | 3 | 3 |
6 | 4 | 7 |
7 | 13 | 20 |
10 | 2 | 22 |
12 | 8 | 30 |
15 | 10 | 40 |
∑f = 40 |
∑f = N = 40 (even)
Median = 1/2 [value of (n/2)th term + value of (n/2 + 1)th term]
= 1/2 [value of 20th term + value of 21st term]
= 1/2 [7 + 10] = 17/2 = 8.5