Question

goals scored
what was the median number of goals scored?

Explanation:

Step1: Calculate the total number of games

The total number of games is \(2 + 1+3 + 1+1=8\) games.

Step2: Find the position of the median

Since \(n = 8\) (even), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values. \(\frac{n}{2}=\frac{8}{2}=4\) and \(\frac{n}{2}+1 = 5\)

Step3: List out the data set

The data set (number of goals) with frequencies: \(0,0,1,2,2,2,3,5\)

Step4: Identify the 4th and 5th values

The 4th value is \(2\) and the 5th value is \(2\)

Step5: Calculate the median

The median is \(\frac{2 + 2}{2}=2\)

Answer:

\(2\)