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

Question

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 will sum the scores of each class and divide by the number of students (which is 10).

Class 1 Scores:

75, 80, 84, 79, 92, 86, 88, 86, 86, 90

Sum of Class 1 scores: \[ 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 915 \]

Mean for Class 1: \[ \text{Mean}_1 = \frac{915}{10} = 91.5 \]

Class 2 Scores:

83, 85, 91, 93, 72, 85, 76, 80, 82, 89

Sum of Class 2 scores: \[ 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 885 \]

Mean for Class 2: \[ \text{Mean}_2 = \frac{885}{10} = 88.5 \]

Summary

The mean score for Class 1 is 91.5. The mean score for Class 2 is 88.5. Based on the mean, Class 1 generally performed better on the math test.

Final answers:

• The mean score for Class 1 is 91.5.
• The mean score for Class 2 is 88.5.
• Based on the mean, Class 1 generally performed better on the math test.