Question

the dot plot below represents the number of goals scored by the girls soccer team in every game so far this season. what was the median number of goals scored? answer attempt 1 out of 2

Explanation:

Step1: Count the number of data - points

Count the dots on the dot - plot. There are 2 + 1+2 + 5+2=12 data - points.

Step2: Determine the position of the median

Since \(n = 12\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th ordered data - points. \(\frac{n}{2}=\frac{12}{2}=6\) and \(\frac{n}{2}+1 = 7\).

Step3: Order the data and find the median

Order the number of goals: 0, 0, 1, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5. The 6th value is 2 and the 7th value is 3. The median is \(\frac{2 + 3}{2}=2.5\).

Answer:

2.5