AnswersConcepts in Probability and Statistics AFinding the Mean

Comparing Mean and Median Answers

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1
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Which statements are true about the median? Check all that apply.

A
Put the values in numerical order before trying to find the median.
B
Median is a number that is much lower or much higher than the rest of the numbers.
C
The median is always greatly impacted by outliers.
D
The median is the number in the middle of an ordered set of values.
E
The median must be calculated by finding the mean of the two middle points when there is an even number of data points.
2
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3

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4

12, 8, 6, 4, 10, 1 66.5✔ 77.5

Answers:
Selection 1:7
Selection 2:5
Selection 3:27.5
5

The mean test score total is 68.970✔ 7482.2.

Answers:
.:74
.:70
Selection 3:median
6

Which sets contain one or more outliers? Check all that apply.

A
187, 298, 239, 1, 984, 202, 191
B
5, 3, 8, 6, 3, 6, 1, 2, 0
C
15, 19, 21, 16, 25, 13, 17
D
56, 1, 5, 72, 67, 59, 74, 60
E
88, 7, 32, 31, 34, 39, 34, 35, 33
7

What error did Luke make?

A
He forgot to put the numbers in order first.
B
He crossed off the low and high pairs incorrectly.
C
He left out a number when putting the numbers in order.
D
He did not make an error.
8

Consider the data set: 11, 3, 8, 2, 9, 1, 4Jennifer said the median of the set is 2, because it is the middle value in the data set. Explain why you do or do not agree with her.

Answer:

PENDING

9

Which did you include in your explanation?Check all that apply.

A
The median is not 2.
B
The list of data points must be put into order from least to greatest before determining the median.
C
The median of the data set is 4.
10

What is Derrick’s mean test score so far? 79✔ 74.481.585

Answers:
Selection 1:81.5
Selection 2:median
11

Mariela earned the following test scores in math:95, 90, 100, 85, 80Mr. Adams accidentally entered Mariela’s next test score as 0. Which of these statements are true? Check all that apply.

A
Before the error, the mean and the median were both 90.
B
Before the error, the mean was 90 and the median was 100.
C
The error added an outlier to the data set.
D
After the error, the median remained the same.
E
After the error, the mean was 75 and the median was 87.5.
F
The mean was impacted by the error more than the median.
G
Only the median was impacted by the error.
12

Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of letters in each word taken from one sentence in a news article. What are the mean and median number of letters per word? What is the outlier?

Answers:
Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of letters in each word taken from one sentence in a news article. What are the:5
Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of letters in each word taken from one sentence in a news article. What are the:4.5
Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of letters in each word taken from one sentence in a news article. What are the:There is no outlier.
13

Which statements are true about the median? Check all that apply.

A
Put the values in numerical order before trying to find the median.
B
Median is a number that is much lower or much higher than the rest of the numbers.
C
The median is always greatly impacted by outliers.
D
The median is the number in the middle of an ordered set of values.
E
The median must be calculated by finding the mean of the two middle points when there is an even number of data points.
14

12, 8, 6, 4, 10, 1 6, 3, 5, 11, 2, 9, 5, 0 30, 16, 49, 25

Answers:
Selection 1:7
Selection 2:5
Selection 3:27.5
15

The mean test score total is . The median test score total is . Which measure of center best represents the test data?

Answers:
Selection 1:74
Selection 2:70
Selection 3:median
16

Which sets contain one or more outliers? Check all that apply.

A
187, 298, 239, 1, 984, 202, 191
B
5, 3, 8, 6, 3, 6, 1, 2, 0
C
15, 19, 21, 16, 25, 13, 17
D
56, 1, 5, 72, 67, 59, 74, 60
E
88, 7, 32, 31, 34, 39, 34, 35, 33
17

What error did Luke make?

A
He forgot to put the numbers in order first.
B
He crossed off the low and high pairs incorrectly.
C
He left out a number when putting the numbers in order.
D
He did not make an error.
18

Consider the data set: 11, 3, 8, 2, 9, 1, 4Jennifer said the median of the set is 2, because it is the middle value in the data set. Explain why you do or do not agree with her.

Answer:

Jennifer is wrong. The list of data points must be in order before determining the median. If you put the set in order from least to greatest, the median is 4.

19

What is Derrick’s mean test score so far? What is Derrick’s median test score so far? Which gives a better picture of his scores?

Answers:
Selection 1:74.4
Selection 2:81.5
Selection 3:median
20

Mariela earned the following test scores in math:95, 90, 100, 85, 80Mr. Adams accidentally entered Mariela’s next test score as 0. Which of these statements are true? Check all that apply.

A
Before the error, the mean and the median were both 90.
B
Before the error, the mean was 90 and the median was 100.
C
The error added an outlier to the data set.
D
After the error, the median remained the same.
E
After the error, the mean was 75 and the median was 87.5.
F
The mean was impacted by the error more than the median.
G
Only the median was impacted by the error.

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