Question

Find the median:

28, 30, 35, 31, 27, 46, 32, 44, 33, 25

Answer 1

Given: 28, 30, 35, 31, 27, 46, 32, 44, 33, 25

Step-wise calculation:

1. Arrange in ascending order: 25, 27, 28, 30, 31, 32, 33, 35, 44, 46.

2. n = 10 (even), so median = average of the `(n/2)`th and `(n/2 + 1)`th observations (i.e., 5th and 6th).

3. 5th = 31 and 6th = 32 Median = `(31 + 32)/2` = 31.5

Median = 31.5