Measures of Center and Location

Question 1

The heights of a sample of 15 students are recorded in the stemplot below.

Revolt · Accepted Answer

B: 65.2

Question 2

Thirty-six students at a large university were given a test to measure their intelligence quotient (IQ). A histogram of the IQ test scores is shown below. In each interval, the left endpoint is included in the interval, but not the right endpoint.

Revolt · Accepted Answer

C: 105–108

Question 3

IQ scores are collected from a sample of 36 students at a large university. The scores are summarized in the histogram below.

Revolt · Accepted Answer

B: The mean is less than the median IQ.

Question 4

The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?

Revolt · Accepted Answer

C: The mean and median are approximately equal.

Question 5

The scores for 21 students on an exam are summarized in the stemplot below.

Revolt · Accepted Answer

A: The mean and median will both increase.

Question 6

The histogram below shows the number of points scored by a high school basketball team over two seasons.

Revolt · Accepted Answer

A: He should report the mean.

Question 7

John has taken six quizzes in his statistics class. His scores on these quizzes are listed below. 71, 75, 76, 80, 85, 87

Revolt · Accepted Answer

B: The new mean will be 82.0 and the new median will be 80.0.

Question 8

In some gymnastics meets, the score given to a gymnast is the mean of the judges’ scores after the highest and lowest scores have been tossed out. Nikita’s scores on the floor routine from all of the judges are shown below.7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00

Revolt · Accepted Answer

B: Her score is lower after removing the highest and lowest scores.

Question 9

A simple random sample of 10 people was asked how many first cousins they have. The results are listed below.10, 19, 20, 13, 13, 2, 10, 8, 25, 10

Revolt · Accepted Answer

C: 11.5

Question 10

IQ scores are collected from a sample of students at a large university. The scores are shown below.99, 100, 105, 104, 102, 105, 105, 121, 104

Revolt · Accepted Answer

C: 105

Measures of Center and Location Answers

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