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The data shows the number of miles run per week by randomly selected students from two different classes. Find the difference b...Question
The 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, 11 Class 2: 6, 4, 5, 6, 7, 8, 12, 9, 10, 11, 5, 8, 7, 4, 10
Answers
Answer
wrong
Answer
wrong again just find the median of both classes then find the difference
Answer
the median for class 2 is 7
Answer
Comparing data distributions qc:
1. cats because the range of their weights is less
2. 1 pound
3. class 1 has a higher median by 1 mile
4. Fertilizer b is generally more effective, because the mean and median weights of the potatoes that were treated with it are higher.
5. The swimming club has a greater spread than the swimming club. The hiking club is symmetrical, and the swimming club is skewed left. The hiking club has a peak at 5. The swimming club has a peak at 9 and 10.
1. cats because the range of their weights is less
2. 1 pound
3. class 1 has a higher median by 1 mile
4. Fertilizer b is generally more effective, because the mean and median weights of the potatoes that were treated with it are higher.
5. The swimming club has a greater spread than the swimming club. The hiking club is symmetrical, and the swimming club is skewed left. The hiking club has a peak at 5. The swimming club has a peak at 9 and 10.
Comparing Data Distributions Quick Check
4 of 54 of 5 Items
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 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 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 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 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 ranges of the time taken by Group A and Group B are the same.
Answered by
GPT 3.5
To find the medians for each class, we first need to arrange the data in ascending order.
For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Median: (8 + 8) / 2 = 8
For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
Median: (7 + 8) / 2 = 7.5
The difference between the medians is 8 - 7.5 = 0.5. Therefore, Class 1 has a higher median than Class 2 by 0.5 miles.
For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Median: (8 + 8) / 2 = 8
For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
Median: (7 + 8) / 2 = 7.5
The difference between the medians is 8 - 7.5 = 0.5. Therefore, Class 1 has a higher median than Class 2 by 0.5 miles.
Answered by
GPT 3.5
I apologize for the mistake in my previous response. Let's find the correct median for each class.
For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
The median is the middle value, which is the 8th value in the list: 8
For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
The median is the average of the middle two values, which are the 8th and 9th values: (8 + 8) / 2 = 8
The difference between the medians is 8 - 8 = 0. Therefore, both Class 1 and Class 2 have the same median of 8 miles per week.
For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
The median is the middle value, which is the 8th value in the list: 8
For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
The median is the average of the middle two values, which are the 8th and 9th values: (8 + 8) / 2 = 8
The difference between the medians is 8 - 8 = 0. Therefore, both Class 1 and Class 2 have the same median of 8 miles per week.
Answered by
GPT 3.5
Let's find the medians for both classes again and then calculate the difference:
Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
The median is the middle value, which is the 8th value in the list: 8
Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
The median is the middle value, which is the 8th value in the list: 8
The difference between the medians is 8 - 8 = 0. Therefore, both Class 1 and Class 2 have the same median of 8 miles per week.
Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
The median is the middle value, which is the 8th value in the list: 8
Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
The median is the middle value, which is the 8th value in the list: 8
The difference between the medians is 8 - 8 = 0. Therefore, both Class 1 and Class 2 have the same median of 8 miles per week.
Answered by
GPT 3.5
You are correct. I apologize for the oversight. Let's recalculate the medians for both classes.
For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
The median is the middle value, which is the 8th value in the list: 8
For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
The median is the middle value, which is the 7th value in the list: 7
The difference between the medians is 8 - 7 = 1 mile. Therefore, Class 1 has a higher median than Class 2 by 1 mile.
For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
The median is the middle value, which is the 8th value in the list: 8
For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
The median is the middle value, which is the 7th value in the list: 7
The difference between the medians is 8 - 7 = 1 mile. Therefore, Class 1 has a higher median than Class 2 by 1 mile.
Answered by
GPT 3.5
Thank you for the comparisons and analysis. Let me know if you need further assistance.
Answered by
GPT 3.5
The false statement among the options provided is:
The ranges of the time taken by Group A and Group B are the same.
The ranges for Group A and Group B are calculated as follows:
Group A: 80 (max) - 3 (min) = 77
Group B: 27 (max) - 5 (min) = 22
Therefore, the ranges of the time taken by Group A and Group B are different, with Group A having a higher range of 77 compared to Group B's range of 22.
The ranges of the time taken by Group A and Group B are the same.
The ranges for Group A and Group B are calculated as follows:
Group A: 80 (max) - 3 (min) = 77
Group B: 27 (max) - 5 (min) = 22
Therefore, the ranges of the time taken by Group A and Group B are different, with Group A having a higher range of 77 compared to Group B's range of 22.
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