Question

A minor league hockey team had the following scores for the start of the season for the start of the season 3,6,2,1,2,3,0,4,5,1,5,4. If the hockey team scores 9 goals in their next game, would the mean, median or mode be more affected?

Answer 1

The mean will be the most affected.

Step-by-step explanation

Given;

`3,6,2,1,2,3,0,4,5,1,5,4`

Initially, the mean, median and mode is calculated thus;

`\begin{gathered} mean=(3+6+2+1+2+3+0+4+5+1+5+4)/(12) \\ =(36)/(12) \\ =3 \\ mode=1,2,3,5 \end{gathered}`

To calculate the median, we need to re-arrange in ascending order. Hence;

`\begin{gathered} 0,1,1,2,2,3,3,4,4,5,5,6. \\ median=((3+3))/(2) \\ =(6)/(2)=3 \end{gathered}`

After adding 9;

The new data is;

`0,1,1,2,2,3,3,4,4,5,5,6,9`

The new mean is;

`\begin{gathered} mean=(3+6+2+1+2+3+0+4+5+1+5+4+9)/(13) \\ =3.46 \\ Mode=3 \\ median=3 \end{gathered}`

The mean will be the most affected.