Question

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

goals

Explanation:

Step1: Count total data points

There are 3 + 1+ 2 = 6 data - points.

Step2: Determine median position

For \(n = 6\) (even number of data - points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered data - points. \(\frac{n}{2}=\frac{6}{2}=3\) and \(\frac{n}{2}+1 = 4\).

Step3: Order data and find median

Ordering the data from the dot - plot: 1, 1, 1, 2, 4, 4. The 3rd value is 1 and the 4th value is 2. The median is \(\frac{1 + 2}{2}=1.5\).

Answer:

1.5