Question

Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores of the five students are shown below.

Class A: 80, 82, 74, 92, 94


Class B: 82, 80, 88, 86, 82


What are the mean and range for each class?
Using the information found in Part A, which class could Mrs. Smith report had the more consistent performance on the unit test? Explain what this means in terms of the situation.

Answer 1

See below ~

Explanation:

Class A :

• Mean = 80 + 82 + 74 + 92 + 94 / 5
• Mean = 422/5
• Mean = 84.4

• Range = Highest score - Lowest score
• Range = 94 - 74
• Range = 20

Class B :

• Mean = 82 + 80 + 88 + 86 + 82 / 5
• Mean = 418/2
• Mean = 83.6

• Range = Highest - Lowest
• Range = 88 - 80
• Range = 8

Class B had the more consistent performance because the range of scores is significantly less. This means that the students in Class B were more prepared than Class A for a quiz.

Answer 2

class B because every scores range is withing 6 or less