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, 2014

Algebra Difficulty 1.6 Junior Find the answer Canada

The graph shows points scored by Riley-Ann in her first five basketball games.

Hide/Reveal Description of Points Scored

Game 1, 8 points.
Game 2, 7 points.
Game 3, 20 points.
Game 4, 7 points.
Game 5, 18 points.

The difference between the mean and the median of the number of points that she scored is

Pick one

Solution

Reading from the graph, Riley-Ann scored 8 points in Game 1, 7 points in Game 2, 20 points in Game 3, 7 points in Game 4, and 18 points in Game 5.

Therefore the mean number of points that she scored per game is $\frac{8+7+20+7+18}{5}=\frac{60}{5}=12$ . Since the ordered list (smallest to largest) of the number of points scored per game is $7,7,8,18,20$ , then the median is 8, the number in the middle of this ordered list. The difference between the mean and the median of the number of points that Riley-Ann scored is $12-8=4$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.