Question

The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3. Find the median of the scores.

Answer 1

Given: The scores are 2, 3, 4, 5, 0, 1, 3, 3, 4, 3.

Step-wise calculation:

1. Sort the scores in ascending order:

0, 1, 2, 3, 3, 3, 3, 4, 4, 5

2. Number of observations n = 10 (even).

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

= Average of 5th and 6th observations

4. 5th observation = 3, 6th observation = 3.

5. Median = `(3 + 3)/2` = 3.

The median of the scores is 3.