Construct and Interpret Scatter Plots: CCSS.Math.Content.8.SP.A.1

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8th Grade Math › Construct and Interpret Scatter Plots: CCSS.Math.Content.8.SP.A.1

Questions 1 - 10
1

This scatter plot represents data about snack quality (-axis) vs. price (-axis). Which statements are a correct interpretation of the data?

Scatter plot 1

I. The price of a higher quality snack tends to be higher.

II. Points below the line represent snacks whose price is higher than their quality.

III. Points above the line represent snacks whose quality is higher than their price.

I only

I and II

I and III

II only

Explanation

I. is a true statement about the scatter plot: as quality increases, price tends to increase.

II. is not true - the points under the line have a relatively low price compared to their quality.

III. is also not true - the points above the line have relatively low quality compared to their price.

2

Which of the following represents a positive association in a scatterplot?

As increases, also increases.

As increases, decreases.

As increases, stays constant.

As decreases, increases.

There is no pattern amongst the data.

Explanation

A positive association is defined as a scatterplot on which the best fit line has a positive slope.

This pattern is identified because on the graph, looking from left to right, the vast majority of the points goes up.

This can also be described by saying, "as increases, increases".

3

A scatterplot correlates adult males' height vs. shoe size. What does the point on the scatterplot represent?

One adult male who is 72 inches tall and with a shoe size of 13.

The mean adult male height and shoe size.

The median adult male height and shoe size.

That 72 inches and 13 shoe size are outliers compared to the rest of the adult male population.

All adult males that were surveyed were the same height and weight.

Explanation

When creating a scatterplot, data is collected. This data is formulated into ordered pairs. Each of these ordered pairs, which are later graphed, represent one person's data. Thus, this particular piece of data would represent one man's height of inches and that same man's shoe size of .

4

The scatter plot provided displays a group of students' test scores versus the number of missing assignments the students have. Based on plot, select the answer choice with the data point that if added to the graph, would be an outlier.

4

Explanation

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

Let's look at our answer choices:

This point is showing that a student had missing assignments received a on the test. If we look at our graph, we can see that the student that had missing assignments received a score of . A score of fits in with that data; thus, is not an outlier.

This point is showing that a student who had missing assignments received an on the test. If we look at our graph, we can see that the student that had missing assignments received score of . A score of fits in with that data; thus, is not an outlier.

This point is showing that a student who had missing assignments received a on the test. If we look at our graph, we can see that the two students that had missing assignments received scores of and . A score of fits in with that data; thus, is not an outlier.

This point is showing that a student who had assignments missing received a on the test. If we look at our graph, we can see that the student who had missing assignments received a score of . Also, if we look at the student who had missing assignments, that student received a . Based on this results, would be an outlier.

5

The scatter plot provided displays a group of students' test scores versus the length of time the students spent studying for a test. Based on plot, which of the following patterns does the relationship between number of hours spent studying and the corresponding test score represent?

1

A positive association, a higher number of hours spent studying correlated to a higher test score

A positive association, a higher number of hours spent studying correlated to a lower test score

The results shown do not show any sort of pattern

A negative association, a lower number of hour spent studying correlated to a higher test score

Explanation

In the provided scatter plot, we can pick out data points and organize them from least to greatest, based on hours spent studying:

2

Based on the results, we can see that as the number of hours spent studying increased, the test grade also increased; thus, a positive association, a higher number of hours spent studying correlated to a higher test score.

6

The scatter plot provided displays a group of students' test scores versus the length of time the students spent studying for a test. Based on plot, select the answer choice with the data point that if added to the graph, would be an outlier.

1

Explanation

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

Let's look at our answer choices:

This point is showing that a student who studied for hours received a on the test. If we look at our graph, we can see that the two students that spent hours studying received scores of and . A score of fits in with that data; thus, is not an outlier.

This point is showing that a student who studied for hour received a on the test. If we look at our graph, we can see that the two students that spent hour studying received scores of and . A score of fits in with that data; thus, is not an outlier.

This point is showing that a student who studied for hours received a on the test. If we look at our graph, we can see that the two students that spent hours studying received scores of and . A score of fits in with that data; thus, is not an outlier.

This point is showing that a student who studied for hours received a on the test. If we look at our graph, we can see that the student who spent hours studying received a score of . Also, if we look at the student who studied for hours, that student received an . Based on this results, would be an outlier.

7

Select the answer choice with a data set that includes an outlier.

Explanation

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

has a much larger value than the other number in the set; thus, is an outlier.

8

The scatter plot provided displays a group of students' test scores versus the number of missing assignments the students have. Based on plot, select the best answer that describes the direction of the points.

4

A negative, linear association

A positive, linear association

A positive, nonlinear association

A negative, non linear association

Explanation

The data points in the scatter plot move up the y-axis as the x-axis decreases; thus the data points show a negative association. Also, the data points do not curve, or go up and down, but gradually decreased; thus the scatter plot shows a linear association. We could even draw a "best fit" line:

6

9

Select the answer choice with a data set that includes an outlier.

Explanation

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

has a much smaller value than the other number in the set; thus, is an outlier.

10

Select the answer choice with a data set that includes an outlier.

Explanation

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

has a much smaller value than the other number in the set; thus, is an outlier.

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