Measures of Center and Location Answers

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1
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John has taken six quizzes in his statistics class. His scores on these quizzes are listed below. 71, 75, 76, 80, 85, 87

A
The new mean will be 82.0 and the new median will be 78.0.
B
The new mean will be 82.0 and the new median will be 80.0.
C
The new mean will be 89.5 and the new median will be 78.0.
D
The new mean will be 89.5 and the new median will be 80.0.
2
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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

A
Her score does not change.
B
Her score is lower after removing the highest and lowest scores.
C
Her score is higher after removing the highest and lowest scores.
D
There is not enough information to determine if her score increases or decreases.
3

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

A
7.5
B
10
C
11.5
D
13
4

Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.

Question illustration
A
2.0 people per residence
B
2.5 people per residence
C
2.8 people per residence
D
3.5 people per residence
5

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:7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00

A
Her median score does not change.
B
Her median score is lower after removing the highest and lowest scores.
C
Her median score is higher after removing the highest and lowest scores.
D
There is not enough information to determine if her median score increases or decreases.
6

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

A
Her score does not change.
B
Her score is lower after removing the highest and lowest scores.
C
Her score is higher after removing the highest and lowest scores.
D
There is not enough information to determine if her score increases or decreases.
9

Test scores for 26 students in an introductory statistics course are displayed in the stemplot below. The scores range from 72 to 98.

Question illustration
A
She could choose either one because they are equal.
B
She should report the mean because it will be greater than the median.
C
She should report the median because it will be greater than the mean.
D
All the missing scores are needed in order to decide.
10

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

Question illustration
A
He should report the mean.
B
He should report the median.
C
He could report either because they are equal.
D
The exact number of points per game are needed to decide.

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