Question

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Two football teams have played the same number of games. Team P has scored a mean of 23.6 points per game with a standard deviation of 4.7 points. Team Q has scored a mean of 23.6 points per game with a standard deviation of 12.1 points.
Which statement can be justified based on this information?

A. Team P typically scores more points than Team Q.

B. Team P typically scores fewer points than Team Q.

C. The number of points scored per game is more consistent for Team P than for Team Q.

D. The number of points scored

Answer 1

It is C. Since the means are the same, you cannot conclude that a team typically scores more points. However, the SD for Team P is much lower. That means that the team had less variability than Team Q.