AnswersMathematics 8Interpreting Clusters and Outliers

Interpreting Clusters and Outliers — Quiz Answers

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1
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Which data value would cause the interpretation of the data set to be understated?

A
open paren 90 comma 2 close paren
B
open paren 55 comma 6 close paren
C
open paren 20 comma 1 close paren
D
open paren 95 comma 8 close paren
2
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Which of the following points, if added to the table, would be an outlier?

A
open paren 7 point 5 comma 70 close paren
B
open paren 8 point 5 comma 66 close paren
C
open paren 7 comma 73 close paren
D
open paren 8 comma 35 close paren
3

Which statement about the scatterplot is true?

A
Although open paren 10 comma 15 close paren is an extreme value, it should be part of the description of the relationship between the age of a car and the value of the car.
B
By excluding open paren 10 comma 15 close paren , a better description can be given for the data set.
C
The point open paren 10 comma 15 close paren shows there is no relationship between the age of a car and the value of a car.
D
By including open paren 10 comma 15 close paren , the description of the data set can be understated.
5

Which point would be considered an outlier?

A
open paren 5 comma 4 close paren
B
open paren 1 comma 5 close paren
C
open paren 9 comma 1 close paren
D
open paren 3 comma 9 close paren
6

The table shows the number of hours spent studying for a history final exam and the score on that exam. Each row represents a single student. Which value is an outlier in the given table?

A
open paren 6 point 5 comma 88 close paren
B
open paren 1 point 5 comma 65 close paren
C
open paren 3 point 5 comma 71 close paren
D
open paren 4 point 5 comma 98 close paren
7

Which statement about the scatterplot is true?

A
The scatterplot does not have a cluster, and the variables are related. As x increases, y increases.
B
The scatterplot has a cluster, and the variables are not related.
C
The scatterplot has a cluster, and the variables are related. As x increases, y increases.
D
The scatterplot does not have a cluster, and the variables are not related.
8

Which scatterplot shows the strongest relationship between the variable x and the variable y ?

A
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 11 data points that do not form a recognizable pattern.
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 11 data points that do not form a recognizable pattern.
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 10 data points that do not form a recognizable pattern.
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. There are 11 data points that generally go from the upper left corner of the quadrant to the lower right corner of the quadrant.
9

A scatterplot is produced to compare the size of a school building to the number of students at that school who play an instrument. There are 12 data points, each representing a different school. The points are widely dispersed on the scatterplot without a pattern of grouping. Which statement could be true?

A
As the size of a school building increases, the number of student musicians decreases because the scatterplot has a cluster that decreases from left to right.
B
There is no relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.
C
As the size of a school building increases, the number of student musicians increases because the scatterplot has a cluster that increases from left to right.
D
The size of a school building is equal to the number of students who play an instrument because the scatterplot does not have a cluster.
10

A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?

A
There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster.
B
The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.
C
As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.
D
As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.

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