Question

Use the table to answer the question.

Number of Students versus Average Test Grade

Number of Students 24 4 3 7 18 26 14 16 4
Grade 78 98 50 42 86 92 90 87 61
A math teacher kept track of his students' grades on the last 8th-grade math exam. Which scatterplot represents the data?

(1 point)
Responses

A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5.
The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 6 comma 61 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 10 comma 87 right parenthesis, left parenthesis 14 comma 90 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 24 comma 78 right parenthesis, and left parenthesis 26 comma 92 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5. The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 6 comma 61 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 10 comma 87 right parenthesis, left parenthesis 14 comma 90 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 24 comma 78 right parenthesis, and left parenthesis 26 comma 92 right parenthesis.

A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5.
The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 61 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 14 comma 90 right parenthesis, left parenthesis 16 comma 87 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 24 comma 78 right parenthesis, and left parenthesis 26 comma 92 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5. The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 61 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 14 comma 90 right parenthesis, left parenthesis 16 comma 87 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 24 comma 78 right parenthesis, and left parenthesis 26 comma 92 right parenthesis.

A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5.
The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 61 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 10 comma 90 right parenthesis, left parenthesis 16 comma 87 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 20 comma 92 right parenthesis, and left parenthesis 24 comma 78 right parenthesis.
Image with alt text: A coordinate graph is titled: Number of Students versus Average Test Grade. It shows number of students on the x-axis from 0 to 26 in increments of 2 and grade on the y-axis from 0 to 100 in increments of 5. The approximate data points are left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 61 right parenthesis, left parenthesis 4 comma 98 right parenthesis, left parenthesis 7 comma 42 right parenthesis, left parenthesis 10 comma 90 right parenthesis, left parenthesis 16 comma 87 right parenthesis, left parenthesis 18 comma 86 right parenthesis, left parenthesis 20 comma 92 right parenthesis, and left parenthesis 24 comma 78 right parenthesis.

A coordinate graph is titled: Number of Students versus Average Test Grade. It shows grade from 0 to 100 on the x-axis and number of students on the y-axis from 0 to 26.
The approximate data points are left parenthesis 78 comma 24 right parenthesis, left parenthesis 98 comma 4 right parenthesis, left parenthesis 50 comma 3 right parenthesis, left parenthesis 42 comma 7 right parenthesis, left parenthesis 86 comma 18 right parenthesis, left parenthesis 92 comma 26 right parenthesis, left parenthesis 90 comma 14 right parenthesis, left parenthesis 87 comma 10 right parenthesis, and left parenthesis 61 comma 6 right parenthesis.

Answers

Answer
are you sure
Answered by GPT-4o mini
To determine which scatterplot accurately represents the data provided in the table of the number of students versus average test grades, we need to pair each number of students with its corresponding grade and then find the correct coordinates.

The data pairs from the table are as follows:

- (24 students, 78)
- (4 students, 98)
- (3 students, 50)
- (7 students, 42)
- (18 students, 86)
- (26 students, 92)
- (14 students, 90)
- (16 students, 87)
- (4 students, 61)

Next, let's analyze the provided options:

1. The first option lists the points (3, 50), (4, 98), (6, 61), (7, 42), (10, 87), (14, 90), (18, 86), (24, 78), and (26, 92). This is incorrect because the data point (6, 61) does not match our table.

2. The second option checks the points (3, 50), (4, 61), (4, 98), (7, 42), (14, 90), (16, 87), (18, 86), (24, 78), and (26, 92). This is incorrect as well because it includes the point (4, 61), which is not present in the provided data.

3. The third option contains points (3, 50), (4, 61), (4, 98), (7, 42), (10, 90), (16, 87), (18, 86), (20, 92), and (24, 78). This is again incorrect due to (4, 61) and the point (20, 92) does not exist in the original data.

4. The fourth option lists points (3, 50), (4, 61), (4, 98), (7, 42), (10, 90), (16, 87), (18, 86), (20, 92), and (24, 78). This is also incorrect for the same reasons as the previous options.

5. The fifth option lists points (78, 24), (98, 4), (50, 3), (42, 7), (86, 18), (92, 26), (90, 14), (87, 10), and (61, 6), representing the reversed axes. This is not in line with the original provided data, since it evaluates grades in relation to students.

Given this review, none of the listed scatter plots appears to accurately represent the data provided in the original table. The correct points, considering the number of students versus the average test grades, do not match any of the listings accurately.

Based on this analysis, please check the options once more or ensure the data provided is complete and matches the scatterplot formats.

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