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.
The false statement is:
- The ranges of the time taken by Group A and Group B are the same.
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.
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.