Question

the number of points scored by a basketball player in the first eight games of a season are shown below. 15, 35, 18, 30, 25, 21, 32, 16. what would happen to the data distribution if she scored 24, 22, 27, and 28 points in her next four games? the data distribution would become less peaked and more widely spread. the data distribution would become more peaked and less widely spread. the data distribution would become more peaked and more widely spread. the data distribution would become less peaked and less widely spread.

Explanation:

Step1: Analyze initial data set

Initial data: 15, 35, 18, 30, 25, 21, 32, 16 has a relatively wide - spread with values from 15 to 35.

Step2: Analyze new data values

New data: 24, 22, 27, 28 are closer to the middle - range of the initial data set. They will make the data more concentrated around the middle values.

Step3: Determine effect on distribution

Since the new values are more clustered around the middle of the existing range, the data distribution will become more peaked (more concentrated) and less widely spread.

Answer:

The data distribution would become more peaked and less widely spread.