AnswersConcepts in Probability and Statistics APlotting Data on a Dot Plot

Comparing Mean and Median Answers

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1
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Using the set of data below, which statements are true? Check all that apply. 13, 11, 16, 12, 42, 8

A
The mean of this data set is 17.
B
The median is 12.5.
C
The median is 14.5.
D
The mean is more affected by the outlier.
E
The median is more affected by the outlier.
F
The mean of this data set is 12.
2
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Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29Data with an outlier: 15, 19, 22, 26, 29, 81How is the median affected by the outlier?

A
The outlier slightly affected the median.
B
The outlier made the median much higher than all the other values.
C
The outlier made the median much lower than all the other values.
D
The median is the exact same number in both data sets.
3

Noah was asked to find the median of the following numbers. 115, 109, 117, 136, 127, 131Noah’s work is shown below. 109, 115, 117, 127, 131, 136What error, if any, did Noah make?

Question illustration
A
He forgot to put the numbers in order first.
B
He crossed off the high/low number pairs incorrectly.
C
He left out a number when putting the numbers in order.
D
He did not make any error.
4

Which set of data contains one outlier?

A
15, 19, 26, 51, 18, 21
B
22, 33, 31, 20, 28, 19
C
18, 20, 16, 22, 28, 26
D
27, 21, 31, 18, 21, 29
5

What is the median of this set of data? 1, 2, 5, 6, 9

A
1
B
5
C
8
D
9
6

Which set of data contains two outliers?

A
113, 115, 103, 114, 109, 111, 119
B
141, 151, 138, 142, 149, 140, 150
C
99, 113, 91, 104, 109, 114, 97
D
101, 135, 131, 99, 138, 136, 140
7

Eva earned the following test scores in science:82, 100, 96, 90, 91Ms. Wade entered the next score as 0 because Eva was absent on test day and hadn’t had a chance to make up the test. Which statements are true based on the data? Check all that apply.

A
After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data.
B
After adding the 0 test score, the mean would be affected.
C
After adding the 0 test score, the median would be the most appropriate measure of center to describe the data.
D
Before the missed test, Eva’s median score was 96.
E
Before the missed test, Eva’s median score was 91.
F
Before the missed test, Eva’s mean score was 91.8.
8

Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses. 84%, 71%, 64%, 90%, 75%, 44%, 98%Which measure of center should Peter choose so he can have the highest percentage possible?

A
Peter should choose the mean after dropping one test score.
B
Peter should choose the mean without dropping one test score.
C
Peter should choose the median after dropping one test score.
D
Peter should choose the median without dropping one test score.
9

Alicia received the following seven scores on her math assignments. 80, 90, 10, 75, 90, 95, 99Find the mean and median. Which measure of center best represents the data?

A
the mean
B
the median
C
both the mean and the median
D
neither the mean nor the median
10

Deepali was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29Data with an outlier: 15, 19, 22, 26, 29, 81How is the mean affected by an outlier?

A
The outlier did not affect the mean at all.
B
The outlier made the mean higher than all the other values.
C
The outlier made the mean lower than all the other values.
D
The mean is centered around all the other numbers in both sets of data.

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