10
QuizMultiple Choice

Measures of Center — Quiz

Question 10 • Mathematics I

Colin surveyed 12 teachers at his school to determine how much each person budgets for lunch. He recorded his results in the table. 10 5 8 10 12 6 8 10 15 6 12 18 What does the relationship between the mean and median reveal about the shape of the data?

Answer
A
The mean is equal to the median, so the data is symmetrical.
B
The mean is more than the median, so the data is skewed right.
C
The mean is equal to the median, so the data is linear.
D
The mean is less than the median, so the data is skewed left.

Explanation

The 12 values add to 120, so the mean is 120 ÷ 12 = 10. In order, the 6th and 7th values are both 10, so the median is also 10. Because the mean equals the median, the data is described as symmetrical; the correct choice is “The mean is equal to the median, so the data is symmetrical.”

AI-written and checked against the verified answer.