The number of students in each of the classes that Julia is taking and each of the classes that Mason is taking are shown below. Julia’s classes: 25, 23, 28, 32, 27 Mason’s classes: 20, 26, 24, 31, 29 Which of the following statements are true? Select all that apply. A. The mean is greater for Mason's classes than for Julia's classes. B. For both sets of data, the median is equal to the mean. C. The mean absolute deviation (MAD) is greater for Julia's classes than for Mason's classes. D. The interquartile range (IQR) is greater for Mason's classes than for Julia's classes. E. The numbers of students in Julia's classes are less spread out than those in Mason's classes.
Answers
Given : The number of students in each of the classes that Julia is taking and each of the classes that Mason is taking
To find : Which statements are true
Solution:
Julia’s classes: 25, 23, 28, 32, 27
Arranging in order
23 25 27 28 32
Q1 = 25 Q2= 27 Q3 = 28
Median Q2= 27
IQR = Q3 - Q1 = 28 - 25 = 3
Mean = (23 + 25 + 27 + 28 + 32)/5 = 27
Mean = Median = 27
Range = 32 - 23 = 9
MAD mean absolute deviation = (4 + 2 + 0 + 1 + 5)/5 = 12/5 = 2.4
Mason’s classes: 20, 26, 24, 31, 29
Arranging in order
20 24 26 29 31
Q1 = 24 Q2= 26 Q3 = 29
Median Q2= 26
IQR = Q3 - Q1 = 29 - 24 = 5
Mean = (20 + 24 + 26 + 29 + 31)/5 = 26
Mean = Median = 26
Range = 29 - 20 = 9
MAD mean absolute deviation = (6 + 2 + 0 + 3 + 5)/5 = 16/5 = 3.2
A) The mean is greater for Mason's classes than for Julia's classes - FALSE
B. For both sets of data, the median is equal to the mean. - TRUE
C The mean absolute deviation (MAD) is greater for Julia's classes than for Mason's classes - FALSE
D. The interquartile range (IQR) is greater for Mason's classes than for Julia's classes - TRUE
E. The numbers of students in Julia's classes are less spread out than those in Mason's classes. - FALSE ( Range is Same)
Learn More:
Which statements are true about the interquartile range? Select all ...
https://brainly.in/question/16455554
The grades for a statistics exam are as follows: 3, 5, 5, 6, 7.5, 6, 5, 1 ...
https://brainly.in/question/17463737
Answer:A,E
Step-by-step explanation: Dont worry about it the real answers are A,E