The mean of Class 1 is 78.83.
The median of Class 1 is 88
The mode of Class 1 is 90
The mean of Class 2 is 79.42
The median of Class 2 is 85.50
The mode of Class 2 is 90
The mean of Class 3 is 79.42
The median of Class 3 is 78
The mode of Class 3 are 75 and 80
The standard deviation of Class 1 is 18.81
The standard deviation of Class 2 is 16.15
The standard deviation of Class 3 is 12.70.
The class that had the higher standard deviation is class 1.
The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.
Mean is the average of a set of numbers.
Mean = sum of numbers / total number
Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83
Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42
Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42
Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.
Median of Class 1 = (86 + 90) / 2 = 88
Median of Class 2 = (84 + 87) / 2 = 85.50
Median of Class 3 = (76 + 80) / 2 = 78
Mode is the number that occurs most frequently in a dataset.
Standard deviation is used to calculate the average variation of a dataset.
Standard deviation = [tex]\sqrt{\frac{(x - u)^{2} }{n} }[/tex]
Where:
Standard deviation of Class 1 = 18.81
Standard deviation of Class 2 = 16.15
Standard deviation of Class 3 = 12.70
To learn more about standard deviation, please check: https://brainly.com/question/16555520
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Answer:
Down below!
Step-by-step explanation:
A.
The mean 78.83.
The median 88
The mode 90
The range 55
B.
The mean 79.42
The median 85.50
The mode 90
The range 60
C.
The mean 79.42
The median 78
The mode 75 and 80
The range 45
D. 18.81
E. 16.15
F. 12.70
G. The class that had the higher standard deviation is class 1.
H. The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.
