increase the mean, decrease the median, change the mode (Sandra's soccer goals)

[terminatorV]

Sandra plays on a soccer team. She recorded the points she scored for each game in the season.

0,0,1,4,3,4,2,1,0,2,3,3,2,1,1,1,4,8,2,0

The median is 2, the mean is 2.1 and the mode is 1

how can you increase the mean? - Scoring more goals??

how can you decrease the median - Scoring less goals??

change the mode - changing the number of goals scored per game?:?:

 

[mmm4444bot]

Sandra … recorded the points she scored for each game in the season.

0,0,1,4,3,4,2,1,0,2,3,3,2,1,1,1,4,8,2,0

The median is 2, the mean is 2.1 and the mode is 1

Good job. :cool:

how can you increase the mean? - Scoring more goals??

Yes. If Sandra had scored just one additional point during the season, the mean would have increased because the number of games is fixed at 20. (In a ratio A/B, if A increases while B remains constant, the value of the ratio increases.)

how can you decrease the median - Scoring less goals??

You're on the right track, but you need to be more specific.

For example, suppose Sandra had scored 7 points (instead of 8) in game 18. Would that decrease the median?

change the mode - changing the number of goals scored per game?

The "number of goals scored per game" is the mean, not the mode. Regardless, you always need to specify the kind of change you have in mind. Are you thinking about changing the number of points in all games? If you change the number of points in one or more games, but not all 20 games, how would you need to do it exactly, to decrease the mode?

For example, suppose Sandra had scored 9 points (instead of 8) in game 18. Would that change the mode?