AnswersStatistical ReasoningMeasures of Center and Location

Measures of Center and Location — Quiz Answers

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John has taken six quizzes in his statistics class. His scores on these quizzes are listed. 71 , 75 , 76 , 80 , 85 , 87 He finds that the mean is 79 point 0 and the median is 78 point 0 for these six quiz scores. If John earns a 100 percent on the next exam, what will the new mean and median be?

A
The new mean will be 82 point 0 and the new median will be 80 point 0 .
B
The new mean will be 82 point 0 and the new median will be 78 point 0 .
C
The new mean will be 89 point 5 and the new median will be 80 point 0 .
D
The new mean will be 89 point 5 and the new median will be 78 point 0 .
7

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?

A
The mean is greater than the median.
B
The mean is less than the median.
C
The actual ages of all runners are needed to decide.
D
The mean and median are approximately equal.
8

The fuel economies in miles per gallon (mpg) for nine vehicles are listed. 16, 18, 20, 24, 24, 24, 24, 31, 32 If one more vehicle is added to the list with a rate of 40 mpg, how will this affect the mean and median?

A
The mean will decrease and the median will not change.
B
The mean will increase and the median will not change.
C
The mean will increase and the median will decrease.
D
The mean and median will both increase.
9

In which interval is the median located?

A
99–102
B
105–108
C
102–105
D
108–111

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Measures of Center and Location — Quiz Answers…