Use the table to answer the question.

Question

Points Scored
85 78 90
52 81 79
The table shows the points a basketball team scored in different games. When the outlier is removed from the data set, what happens to the mean points scored by the basketball team?

(1 point)
Responses

The mean points scored increases by 5.1.
The mean points scored increases by 5.1.

The mean points scored decreases by 8.7.
The mean points scored decreases by 8.7.

The mean points scored decreases by 5.1.
The mean points scored decreases by 5.1.

The mean points scored increases by 8.7.

Answer 1

To find the effect of removing the outlier on the mean, we first need to identify the outlier from the dataset in the table:

Points Scored:

• 85
• 78
• 90
• 52
• 81
• 79

The outlier in this dataset is 52, as it is significantly lower than the other scores.

Next, we calculate the mean before and after removing the outlier:

1. Calculate the mean with all points:

• Total points = 85 + 78 + 90 + 52 + 81 + 79 = 465
• Number of games = 6
• Mean = Total points / Number of games = 465 / 6 = 77.5

2. Calculate the mean without the outlier (52):

• Total points without the outlier = 85 + 78 + 90 + 81 + 79 = 413
• Number of games without the outlier = 5
• Mean without outlier = Total points / Number of games = 413 / 5 = 82.6

3. Compare the means:

• Mean with outlier = 77.5
• Mean without outlier = 82.6
• The difference in means = 82.6 - 77.5 = 5.1

Thus, the mean points scored increases by 5.1 when the outlier is removed.

The correct response is: The mean points scored increases by 5.1.