Question

Of the 10 swings, Raul hit 1ball over the outfield fence for a home run, but the other 9 hits were ground balls that stayed in the infield. Which measure of center will best summarize Raul’s overall performance? Why?

Answer 1

Raul should use the median to determine his overall performance, because the 10 distances are not uniformly distributed. Nine distances are clustered together, but the homerun is an outlier in the data set. For a data set with outliers, the median is the best measure of center.

Step-by-step explanation: plato

Answer 2

1. Take the Average of the distances the ball travelled each hit.

2. He should use the Interquartile Range. This is the difference between the Upper Quartile and the Lower Quartile of the distances he hits the ball.

3. He should use Mean

4. He should use Median. It best measures skewed data

Explanation:

THE FIRST PART.

Raul should take the average of the distances the ball travelled each hit.

This is done by summing the total distances the ball travelled each bounce, and then dividing the resulting value by the total number of times he hit the ball, which is 10.

THE SECOND PART

He should use the Interquartile Range. This is the difference between the Upper Quartile and the Lower Quartile of the distances he hits the ball.

THE THIRD PART

He should take the mean of the distances of the ball that stayed infield.

This is the distance that occurred the most during the 9 bounces that stayed infield. The one that went outfield is makes it unfair to use any other measure of the center, taking the mean will give a value that is significantly below his efforts.

THE FOURTH PART

He should take the Median of the data, it is best for skewed data.

This is the middle value for all the distances he recorded.

Explanation: