AnswersConcepts in Probability and Statistics AComparing Mean and Median

Comparing Mean and Median Answers

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1
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Which statements are true about the median of a data set? Check all that apply.

A
The median isn’t affected much by one outlier.
B
The median is always affected by one outlier.
C
The median is the number in the middle on an ordered set of data.
D
To find the median, find the difference between the highest and lowest numbers.
E
To find the median of an even data set, find the average of the two middle numbers.
2
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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.
3

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
4

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

A
1
B
5
C
8
D
9
5

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.
6

Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best represents how much money he makes in daily tips?

A
No, Jacob is not correct. The mean amount he makes is $82.67 in a day.
B
Yes, Jacob is correct. The mean amount he makes is $81.67 in a day.
C
No, Jacob is not correct. The median amount he makes is $86.00 in a day.
D
Yes, Jacob is correct. The median amount he makes is $84.00 in a day.
7

Mr. Malloy wants to make sure Amo and Javier get the best possible grade after five tests and can either give a grade based on the median or the mean. TestNumberAmo’s ScoresJavier’s Scores1976829297389654559259065What measure of center should Mr. Malloy use for Amo and for Javier for the best possible grade?

A
The teacher should use the mean for both Amo and Javier.
B
The teacher should use the median for both Amo and Javier.
C
The teacher should use the median for Amo and the mean for Javier.
D
The teacher should use the mean for Amo and the median for Javier.
8

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.
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

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

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