First, we need to find the medians of both classes:
Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14 (arranged in order)
Median = 8
Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12 (arranged in order)
Median = 7
The difference between the medians is 8 - 7 = 1. Therefore, Class 1 has a higher median than Class 2 by 1 mile.
The answer is D. Class 1 has a higher median than Class 2 by 1 mile.
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
(1 point)
A. Class 2 has a higher median than Class 1 by 1 mile.
B. Class 1 has a higher median than Class 2 by 0.5 mile.
C. Class 2 has a higher median than Class 1 by 0.5 mile.
D. Class 1 has a higher median than Class 2 by 1 mile.
5 answers
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)
A. The ranges of the time taken by Group A and Group B are the same.
B. The mean time taken by Group A is higher than that of Group B.
C. The median time taken by members of Group A to thread a needle is higher than that of members of Group B.
D. 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.
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)
A. The ranges of the time taken by Group A and Group B are the same.
B. The mean time taken by Group A is higher than that of Group B.
C. The median time taken by members of Group A to thread a needle is higher than that of members of Group B.
D. 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.
A. The ranges of the time taken by Group A and Group B are the same.
This statement is false. We can calculate the range of each data set by subtracting the minimum value from the maximum value:
Range of Group A: 80 - 3 = 77 seconds
Range of Group B: 27 - 5 = 22 seconds
Therefore, the range of the time taken by Group A is higher than that of Group B.
The answer is A.
This statement is false. We can calculate the range of each data set by subtracting the minimum value from the maximum value:
Range of Group A: 80 - 3 = 77 seconds
Range of Group B: 27 - 5 = 22 seconds
Therefore, the range of the time taken by Group A is higher than that of Group B.
The answer is A.
Two fertilizers are applied to randomly selected potato plants. After several weeks, the potatoes are weighed. The weights in kilograms are as follows. Which fertilizer is generally more effective?
Fertilizer A: 27, 20, 16, 18, 22, 19, 23, 21, 17, 19
Fertilizer B: 28, 19, 18, 21, 24, 20, 25, 27, 29, 21
(1 point)
A. Fertilizer B is generally more effective, because the mean and median weights of the potatoes that were treated with it are higher.
B. Fertilizers A and B are both ineffective, because there is no difference in the ranges of the weights of the potatoes.
C. Fertilizer A is generally more effective, because the mean and median weights of the potatoes treated with it are higher.
D. Fertilizers A and B are equally effective, because the ranges of the weights of the potatoes are the same.
Fertilizer A: 27, 20, 16, 18, 22, 19, 23, 21, 17, 19
Fertilizer B: 28, 19, 18, 21, 24, 20, 25, 27, 29, 21
(1 point)
A. Fertilizer B is generally more effective, because the mean and median weights of the potatoes that were treated with it are higher.
B. Fertilizers A and B are both ineffective, because there is no difference in the ranges of the weights of the potatoes.
C. Fertilizer A is generally more effective, because the mean and median weights of the potatoes treated with it are higher.
D. Fertilizers A and B are equally effective, because the ranges of the weights of the potatoes are the same.
To determine which fertilizer is generally more effective, we need to compare the measures of center and variability for both data sets.
Fertilizer A: Mean = 20.2, Median = 19, Range = 11
Fertilizer B: Mean = 22.2, Median = 21, Range = 11
Fertilizer B has a slightly higher mean and median weight for the potatoes, and both data sets have the same range. Therefore, we can conclude that Fertilizer B is generally more effective.
The answer is A. Fertilizer B is generally more effective, because the mean and median weights of the potatoes that were treated with it are higher.
Fertilizer A: Mean = 20.2, Median = 19, Range = 11
Fertilizer B: Mean = 22.2, Median = 21, Range = 11
Fertilizer B has a slightly higher mean and median weight for the potatoes, and both data sets have the same range. Therefore, we can conclude that Fertilizer B is generally more effective.
The answer is A. Fertilizer B is generally more effective, because the mean and median weights of the potatoes that were treated with it are higher.
1 answer