Question
The data shows the number of seconds it took two randomly selected groups to thread a needle. Compare the measures of center and variability of these data sets. Student Group A: 56, 14, 26, 28, 29, 45, 32, 80, 3, 10 Student Group B: 27, 24, 18, 19, 5, 16, 22, 10, 6, 20 Which of the following statements about these data sets is false? (1 point) Responses The ranges of the time taken by Group A and Group B are the same. The ranges of the time taken by Group A and Group B are the same. The median time taken by members of Group A to thread a needle is higher than that of members of Group B. The median time taken by members of Group A to thread a needle is higher than that of members of Group B. The mean time taken by Group A is higher than that of Group B. The mean time taken by Group A is higher than that of Group B. The amount of variability of the time taken by Group A to thread a needle is higher than the amount of variability of the time taken by Group B.
Answers
GPT 3.5
The false statement is:
- The ranges of the time taken by Group A and Group B are the same.
- The ranges of the time taken by Group A and Group B are the same.
if what is what then who is who
QuestionThe data shows the number of miles run per week by randomly selected students from two different classes. Find the difference between the medians. Which class has a higher median? By how much?Class 1: 6, 8, 10, 11, 14, 4, 5, 8, 2, 7, 7, 5, 10, 12, 11Class 2: 6, 4, 5, 6, 7, 8, 12, 9, 10, 11, 5, 8, 7, 4, 10(1 point)ResponsesClass 2 has a higher median than Class 1 by 1 mile.Class 2 has a higher median than Class 1 by 1 mile.Class 2 has a higher median than Class 1 by 0.5 mile.Class 2 has a higher median than Class 1 by 0.5 mile.Class 1 has a higher median than Class 2 by 1 mile.Class 1 has a higher median than Class 2 by 1 mile.Class 1 has a higher median than Class 2 by 0.5 mile.
GPT 3.5
To find the medians:
- For Class 1:
Arranging the data in ascending order gives: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
There are 15 data points, so the median is the average of the 8th and 9th data points, which are 8 and 8. Therefore, the median for Class 1 is 8.
- For Class 2:
Arranging the data in ascending order gives: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
There are 15 data points, so the median is the 8th data point, which is 7. Therefore, the median for Class 2 is 7.
The difference between the medians is 8 - 7 = 1 mile. Therefore, Class 1 has a higher median by 1 mile.
The correct response is:
Class 1 has a higher median than Class 2 by 1 mile.
- For Class 1:
Arranging the data in ascending order gives: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
There are 15 data points, so the median is the average of the 8th and 9th data points, which are 8 and 8. Therefore, the median for Class 1 is 8.
- For Class 2:
Arranging the data in ascending order gives: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
There are 15 data points, so the median is the 8th data point, which is 7. Therefore, the median for Class 2 is 7.
The difference between the medians is 8 - 7 = 1 mile. Therefore, Class 1 has a higher median by 1 mile.
The correct response is:
Class 1 has a higher median than Class 2 by 1 mile.