11
AssignmentMultiple Select

Comparing Mean and Median

Question 11 • Concepts in Probability and Statistics A

Mariela earned the following test scores in math:95, 90, 100, 85, 80Mr. Adams accidentally entered Mariela’s next test score as 0. Which of these statements are true? Check all that apply.

Answer
A
Before the error, the mean and the median were both 90.
B
Before the error, the mean was 90 and the median was 100.
C
The error added an outlier to the data set.
D
After the error, the median remained the same.
E
After the error, the mean was 75 and the median was 87.5.
F
The mean was impacted by the error more than the median.
G
Only the median was impacted by the error.

Explanation

Before the error, the scores in order were 80, 85, 90, 95, and 100. Their mean is 90, and the middle score—the median—is also 90, so A is true. Adding 0 creates an outlier; the new mean is 450 ÷ 6 = 75, and the new median is (85 + 90) ÷ 2 = 87.5, so C and E are true. The mean changed by 15 points, while the median changed by only 2.5 points, so F is true; the median did not remain the same.

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