Here are the math test scores of 10 randomly selected students from Class 1 and Class 2.

Question

This table displays the math test scores of 10 randomly selected students from Class 1 and Class 2.
Class 1: 75 80 84 79 92 86 88 86 86 90
Class 2: 83 85 91 93 72 85 76 80 82 89
Find the mean score of each sample. Based on the mean, which class generally performed better on the math test? Express your answer as a decimal. Do not round your answer.

(2 points)
The mean score for Class 1 is __. The mean score for Class 2 is __. Based on the mean, Class __ generally performed better on the math test.

Answer 1

To find the mean score for each class, we sum the scores and then divide by the number of students.

Class 1 Scores:
75, 80, 84, 79, 92, 86, 88, 86, 86, 90

Sum of Class 1 Scores = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90
= 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 869

Mean for Class 1 = Total Sum / Number of Students
= 869 / 10
= 86.9

Class 2 Scores:
83, 85, 91, 93, 72, 85, 76, 80, 82, 89

Sum of Class 2 Scores = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89
= 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 905

Mean for Class 2 = Total Sum / Number of Students
= 905 / 10
= 90.5

Now, we can summarize the mean scores:

• The mean score for Class 1 is 86.9.
• The mean score for Class 2 is 90.5.

Based on the means, Class 2 performed better on the math test.

The final answers are:

The mean score for Class 1 is 86.9. The mean score for Class 2 is 90.5. Based on the mean, Class 2 generally performed better on the math test.