AnswersPBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023Introduction to Statistics

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.
7

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.

Question illustration
A
99–102
B
102–105
C
105–108
D
108–111
8

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
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.
11

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

A
102
B
104
C
105
D
110
12

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

Question illustration
A
The mean and median will both increase.
B
Neither the mean nor the median will change.
C
The mean will increase but the median will decrease.
D
The mean will increase but the median will be unchanged.
13

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

Question illustration
A
The mean is equal to the median IQ.
B
The mean is less than the median IQ.
C
The mean is greater than the median IQ.
D
It cannot be determined because we cannot tell the exact values of the IQ scores in the sample.
14

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.
15

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

Question illustration
A
65
B
65.2
C
66
D
67
16

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
17

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.
18

A sample of 50 students was surveyed about their time spent in front of a screen (laptop, tablet, phone, etc.). Each interval contains the left endpoint but not the right endpoint.

Question illustration
A
[4,5)
B
[5,6)
C
[6,7)
D
[7,8)
19

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.
20

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

Question illustration
A
65
B
65.2
C
66
D
67

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