Question

5. Trey plays on his school's basketball team. His points scored in eachgame are shown.15, 10, 20, 5, 25, 15, 40, 15, 20, 15What does the number 35 represent in relation to this data set?the maximum number of points scored in any of the gamesthe variation in the number of points he scored in these gamesthe sample size showing the number of games in which hescored points© the measure of center showing the number of points he usually scored

Answer 1

We have to find what 35 represent in relation to the data set.

We can discard some options:

- Is not the maximum score, as 40 is the maximum score.

- Is not the sample size, as the sample size is 10 games.

- Is not the measure of center, as most of the values are under 35 except for 40.

Then it should be the variation in the number of points he scored in these games. But we can try to calculate a measure of variation (there are more than one).

If we look at the minimum and maximum values, we have 5 and 40. The difference between the maximum and minimum values, called range, is equal to 35 and it is one of the measures of variation in a data set.

Answer: The variation in the number of points he scored in these games.

More precisely, 35 is the range of the data set (difference between maximum and minimum score)