Question

Find the median of the given values:

31, 38, 27, 28, 36, 25, 35, 40

Answer 1

Given: 31, 38, 27, 28, 36, 25, 35, 40

Step-wise calculation:

1. Sort the data in ascending order:

25, 27, 28, 31, 35, 36, 38, 40

2. Count the number of observations: n = 8 (even)

3. For even n, median = Average of the `(n/2)`th and `(n/2 + 1)`th observations = Average of 4th and 5th values.

4. 4th value = 31, 5th value = 35

Median = `(31 + 35)/2`

= `66/2`

= 33