Question
Kristi and Dan are training for an upcoming swim meet. The dot plot shows their practice times in seconds for the 50-meter freestyle race.
Which of the following statements best describes the data sets?
(1 point)
Responses
There is some overlap, but the mean absolute deviation for Dan's times is about 3 times that of Kristi's times.
There is some overlap, but the mean absolute deviation for Dan's times is about 3 times that of Kristi's times.
There is some overlap, but the mean absolute deviation for Kristi's times is about 3 times that of Dan's times.
There is some overlap, but the mean absolute deviation for Kristi's times is about 3 times that of Dan's times.
There is complete overlap.
There is complete overlap.
There is no overlap.
Which of the following statements best describes the data sets?
(1 point)
Responses
There is some overlap, but the mean absolute deviation for Dan's times is about 3 times that of Kristi's times.
There is some overlap, but the mean absolute deviation for Dan's times is about 3 times that of Kristi's times.
There is some overlap, but the mean absolute deviation for Kristi's times is about 3 times that of Dan's times.
There is some overlap, but the mean absolute deviation for Kristi's times is about 3 times that of Dan's times.
There is complete overlap.
There is complete overlap.
There is no overlap.
Answers
GPT-4o mini
To determine which statement best describes the data sets, we would typically need to analyze the dot plot for Kristi and Dan's practice times in order to assess their means, absolute deviations, and the degree of overlap. Since I cannot see the dot plot, I can provide guidance on how to interpret the data based on the options given.
1. **Mean Absolute Deviation (MAD):** This measures how spread out the practice times are around the mean. If Dan's MAD is significantly larger than Kristi's, the statement asserting that Dan's is about three times Kristi's would be accurate.
2. **Overlap:** If there are common values between Kristi's and Dan's practice times, then there is at least some overlap.
By considering these factors, you can select the correct statement.
- If you observe that Dan's times are more variable and the MAD is considerably larger than Kristi’s, the first option is the best choice.
- On the other hand, if Kristi's times are the ones that have more variability, then the second option is appropriate.
- If both have the same sets of times, complete overlap would be indicated.
- And if there are no shared times at all, then you would select the fourth option.
Check the dot plot to compare the variability and the presence of overlapping times to choose the correct response.
1. **Mean Absolute Deviation (MAD):** This measures how spread out the practice times are around the mean. If Dan's MAD is significantly larger than Kristi's, the statement asserting that Dan's is about three times Kristi's would be accurate.
2. **Overlap:** If there are common values between Kristi's and Dan's practice times, then there is at least some overlap.
By considering these factors, you can select the correct statement.
- If you observe that Dan's times are more variable and the MAD is considerably larger than Kristi’s, the first option is the best choice.
- On the other hand, if Kristi's times are the ones that have more variability, then the second option is appropriate.
- If both have the same sets of times, complete overlap would be indicated.
- And if there are no shared times at all, then you would select the fourth option.
Check the dot plot to compare the variability and the presence of overlapping times to choose the correct response.