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Question
Use the table to answer the question.
Times of Runners by Age
The average 5K marathon times for runners of various ages are shown in the table.
Age Time
24 32.75
29 33.63
34 34.84
39 35.33
44 35.23
49 36.16
A group of students was evaluating the average times of groups of runners for a 5K marathon. Construct the scatterplot based on the data in the table.
(1 point)
Responses
A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 5 and time in minutes on the y-axis from 0 to 40 in increments of 1.
The approximate data points are as follows: left parenthesis 24 comma 33 right parenthesis, left parenthesis 29 comma 33.5 right parenthesis, left parenthesis 34 comma 35 right parenthesis, left parenthesis 39 comma 35.5 right parenthesis, left parenthesis 44 comma 35.5 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
Image with alt text: A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 5 and time in minutes on the y-axis from 0 to 40 in increments of 1. The approximate data points are as follows: left parenthesis 24 comma 33 right parenthesis, left parenthesis 29 comma 33.5 right parenthesis, left parenthesis 34 comma 35 right parenthesis, left parenthesis 39 comma 35.5 right parenthesis, left parenthesis 44 comma 35.5 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
A coordinate plane is titled: Average Time of a 5 K. It shows time in minutes on the x-axis from 0 to 50 in increments of 2. It shows age in years on the y-axis from 0 to 45 in increments of 5.
The approximate data points are as follows: left parenthesis 33 comma 23 right parenthesis, left parenthesis 32 comma 33.5 right parenthesis, left parenthesis 34.5 comma 34.5 right parenthesis, left parenthesis 35.5 comma 42 right parenthesis, left parenthesis 44 comma 35 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
Image with alt text: A coordinate plane is titled: Average Time of a 5 K. It shows time in minutes on the x-axis from 0 to 50 in increments of 2. It shows age in years on the y-axis from 0 to 45 in increments of 5. The approximate data points are as follows: left parenthesis 33 comma 23 right parenthesis, left parenthesis 32 comma 33.5 right parenthesis, left parenthesis 34.5 comma 34.5 right parenthesis, left parenthesis 35.5 comma 42 right parenthesis, left parenthesis 44 comma 35 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 1 and time in minutes on the y-axis from 0 to 40 in increments of 1.
The approximate data points are as follows: left parenthesis 22 comma 32.5 right parenthesis, left parenthesis 32 comma 33.5 right parenthesis, left parenthesis 34 comma 34.5 right parenthesis, left parenthesis 42 comma 35 right parenthesis, left parenthesis 44 comma 35 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
Image with alt text: A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 1 and time in minutes on the y-axis from 0 to 40 in increments of 1. The approximate data points are as follows: left parenthesis 22 comma 32.5 right parenthesis, left parenthesis 32 comma 33.5 right parenthesis, left parenthesis 34 comma 34.5 right parenthesis, left parenthesis 42 comma 35 right parenthesis, left parenthesis 44 comma 35 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 2 and time in minutes on the y-axis from 0 to 50 in increments of 5.
The approximate data points are as follows: left parenthesis 33 comma 24 right parenthesis, left parenthesis 34 comma 29 right parenthesis, left parenthesis 35 comma 34 right parenthesis, left parenthesis 35 comma 39 right parenthesis, left parenthesis 35 comma 44 right parenthesis, and left parenthesis 36 comma 49 right parenthesis.
Image with alt text: A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 2 and time in minutes on the y-axis from 0 to 50 in increments of 5. The approximate data points are as follows: left parenthesis 33 comma 24 right parenthesis, left parenthesis 34 comma 29 right parenthesis, left parenthesis 35 comma 34 right parenthesis, left parenthesis 35 comma 39 right parenthesis, left parenthesis 35 comma 44 right parenthesis, and left parenthesis 36 comma 49 right parenthesis.
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Answers
GPT-4o mini
To create a scatterplot based on the average 5K marathon times for runners of various ages provided in the table, we need to plot the given data points accurately.
Here are the data points summarized from the table:
- (24, 32.75)
- (29, 33.63)
- (34, 34.84)
- (39, 35.33)
- (44, 35.23)
- (49, 36.16)
Now, let's analyze the options provided:
1. The x-axis represents age in years, which ranges from 0 to 40 (though we have ages up to 49).
2. The y-axis represents time in minutes, ideally ranging from 30 to 40 to capture the times in the dataset.
Looking at the approximate data points listed in the options:
- The first option appears to represent ages in increments of 5 up to 40 and time in increments of 1 up to 40, but the plotted points do not correspond with the data given.
- The second option also doesn't accurately represent the data.
- The third option similarly does not match the dataset.
- The fourth option doesn't align with the data at all.
Given the data at hand and the importance of accurate representation, it seems that none of the provided scatterplot options correctly reflect the ages and times from the table.
In conclusion, to correctly represent the scatterplot you should use age on the x-axis and the corresponding times on the y-axis, ensuring that both ranges accommodate the data accurately.
If you need to select one, you would look for the one that represents these coordinates most closely, even if it's not perfect. In this case, the first scatterplot option seems closest given the y-values they're trying to plot, but it still does not accurately reflect the provided times.
Here are the data points summarized from the table:
- (24, 32.75)
- (29, 33.63)
- (34, 34.84)
- (39, 35.33)
- (44, 35.23)
- (49, 36.16)
Now, let's analyze the options provided:
1. The x-axis represents age in years, which ranges from 0 to 40 (though we have ages up to 49).
2. The y-axis represents time in minutes, ideally ranging from 30 to 40 to capture the times in the dataset.
Looking at the approximate data points listed in the options:
- The first option appears to represent ages in increments of 5 up to 40 and time in increments of 1 up to 40, but the plotted points do not correspond with the data given.
- The second option also doesn't accurately represent the data.
- The third option similarly does not match the dataset.
- The fourth option doesn't align with the data at all.
Given the data at hand and the importance of accurate representation, it seems that none of the provided scatterplot options correctly reflect the ages and times from the table.
In conclusion, to correctly represent the scatterplot you should use age on the x-axis and the corresponding times on the y-axis, ensuring that both ranges accommodate the data accurately.
If you need to select one, you would look for the one that represents these coordinates most closely, even if it's not perfect. In this case, the first scatterplot option seems closest given the y-values they're trying to plot, but it still does not accurately reflect the provided times.