the graph below represents the number of goals scored by the girls soccer team in every game so far this…

the graph below represents the number of goals scored by the girls soccer team in every game so far this season.\ngoals scored\nwhat was the median number of goals scored?

the graph below represents the number of goals scored by the girls soccer team in every game so far this season.\ngoals scored\nwhat was the median number of goals scored?

Answer

Explanation:

Step1: Find total number of data - points

Add the frequencies: $2 + 1+3 + 1+1=8$.

Step2: Determine position of median

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

Step3: Order data and find median

Order the number of goals by frequency. The first 2 data - points have 0 goals, the next 1 has 1 goal, the next 3 have 2 goals, the next 1 has 3 goals and the last 1 has 5 goals. The 4th and 5th ordered data - points are both 2. The average of 2 and 2 is $\frac{2 + 2}{2}=2$.

Answer:

2