Answers25-26 8th Grade Mathematics - AmericusInterpreting Clusters and Outliers

Interpreting Clusters and Outliers Answers

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The scatterplot shows the number of weekly hours that swimmers spend at an indoor pool and the average weekly outdoor temperature.Which data value would cause the interpretation of the data set to be understated?

Question illustration
A
(20, 1)
B
(55, 6)
C
(90, 2)
D
(95, 8)
2
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The scatterplot below shows the number of hours that some high school students spend on working and on video games.Which statement about the scatterplot is true?

Question illustration
A
In general, the number of hours spent working does not affect the number of hours spent on video games.
B
In general, the amount of weekly time spent working is equal to the amount of weekly time spent on video games.
C
As the amount of time spent working increases, the amount of time spent on video games increases.
D
As the number of hours spent working increases, the amount of time spent on video games decreases.
3

The scatterplot shows the time that movers spent packing large boxes for a customer.Which statement about the scatterplot is true?

Question illustration
A
The point (2, 10) shows that there is no relationship between the packing time and the number of boxes.
B
Although (2, 10) is an extreme value, it should be part of the description of the relationship between packing time and number of boxes.
C
Including the point (2, 10) could cause the description of the data set to be understated.
D
Including the point (2, 10) could cause the description of the data set to be overstated.
4

The table below shows a set of data.Data xy6717687.5697.5658638.25628.25649609.561Which of the following points, if added to the table, would be an outlier?

A
(7, 73)
B
(7.5, 70)
C
(8, 35)
D
(8.5, 66)
5

Which scatterplot displays an example of a cluster?

A
On a graph, points are grouped together and increases slightly.
Option A
B
On a graph, points are scattered all over the graph.
Option B
C
On a graph, points are scattered all over the graph.
Option C
D
On a graph, points are scattered all over the graph.
Option D
6

The table shows the final score of the winning hockey team compared to the total number of goals that either team attempted during the game. Each row represents a single hockey game. Which value is an outlier in the table?Final Scores of Winning TeamTotal number of attempted goals, xFinal score of winning team, y1221311341631642052211265294

A
(12, 2)
B
(13, 1)
C
(22, 11)
D
(29, 4)
7

Hugo recorded the height of each plant after he exposed each plant to a set amount of sunlight daily. The scatterplot shows his results after 2 weeks of exposing each plant to a set amount of sunlight.Which statement about the outlier in the data set is true?

Question illustration
A
Hugo should not include the outlier because it lessens the effect of showing that sunlight helps plants grow.
B
Hugo should include the outlier because it shows there is no relationship between hours of sunlight and plant height.
C
Hugo should not include the outlier because it strengthens the effect of showing that sunlight helps plants grow.
D
Hugo should include the outlier because it shows there is a relationship between hours of sunlight and the height of the plant.
9

Blake records the amount of daily rainfall along with the average daily temperature for several days. The scatterplot shows his data.Which statement about the outlier in the data set is true?

Question illustration
A
Blake should not include the outlier because it overstates the effect of rainfall on temperature.
B
Blake should include the outlier because it shows there is no relationship between rainfall and average daily temperature.
C
Blake should not include the outlier because it understates the effect of rainfall on temperature.
D
Blake should include the outlier because it shows there is a relationship between rainfall and temperature.
10

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
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.
B
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.
C
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.
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.

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