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?

Respuesta :

Answer:

im not sure how the data should be interpreted but here is the distribution. It goes up by .416

Step-by-step explanation:

the average of the first 8 games is 24

the average of the 12 games is 24.416

The mean of the data of the given basketball player will increase if she scored 24, 22, 27, and 28 points in her next four games.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the number of points scored by a basketball player in the first eight games is 15, 35, 18, 30, 25, 21, 32, and 16. Therefore, the mean of the first 8 games is,

Mean = (15 + 35 + 18 +30 + 25 + 21 + 32 + 16)/8

          = 176/8

          = 22

Now, the player scored 24, 22, 27, and 28 points in her next four games. Therefore, the mean will be,

New Mean = (15 + 35 + 18 +30 + 25 + 21 + 32 + 16 + 24 + 22 + 27 + 28)/12

                  = 277 / 12

                  = 23.0833

Hence, the mean of the data of the given basketball player will increase if she scored 24, 22, 27, and 28 points in her next four games.

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