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? a the data distribution would become less peaked and more widely spread. b the data distribution would become less peaked and less widely spread. c the data distribution would become more peaked and less widely spread. d the data distribution would become more peaked and more widely spread.

Explanation:

Step1: Analyze data - spread concept

Adding more data points close to the existing mean would make the distribution more peaked (taller peak) and less widely - spread. Adding values that are more in the range of the existing data set will cluster the data more around the center.

Step2: Analyze new data values

The new scores 24, 22, 27, 28 are relatively close to the previous scores. This will make the data more concentrated around the mean, increasing the peak and reducing the spread.

Answer:

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