Question

1. 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?

Explanation:

Step1: Count total data - points

Count the number of dots. There is 1 dot at 0, 2 dots at 1, 4 dots at 2, 3 dots at 3, and 2 dots at 4. So, $1 + 2+4 + 3+2=12$ data - points.

Step2: Determine position of 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: Find the median

List out the data in order: 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4. The 6th value is 2 and the 7th value is 2. The average of 2 and 2 is $\frac{2 + 2}{2}=2$.

Answer:

2