Question

Find the median:

3, 4, 12, 13, 18, 20, 7, 8

Answer 1

Given: 3, 4, 12, 13, 18, 20, 7, 8

Step-wise calculation:

1. Arrange in ascending order: 3, 4, 7, 8, 12, 13, 18, 20.

2. Count n = 8 (even). For even n, the median = average of the `(n/2)`th and `(n/2 + 1)`th observations.

3. `n/2 = 4`, so the 4th observation = 8 and the 5th observation = 12.

4. Median = `(8 + 12)/2` = `20/2` = 10.

Median = 10.