209k views
4 votes
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?

A minor league hockey team had the following scores for the start of the season for-example-1

1 Answer

2 votes

ANSWER

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.

User StenW
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.