Question

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

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 need to add up all the scores for each class and then divide by the number of students in each class.

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

**Sum of Class 1 Scores**:
\[
75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 81 + 84 + 79 + 92 + 86 + 88 + 86 + 90 = 856
\]

**Mean for Class 1**:
\[
\text{Mean} = \frac{\text{Sum of Scores}}{\text{Number of Students}} = \frac{856}{10} = 85.6
\]

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

**Sum of Class 2 Scores**:
\[
83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 837
\]

**Mean for Class 2**:
\[
\text{Mean} = \frac{837}{10} = 83.7
\]

### Summary
- The mean score for Class 1 is **85.6**.
- The mean score for Class 2 is **83.7**.

Based on the mean, Class **1** generally performed better on the math test.

So, filling in the blanks:
The mean score for Class 1 is **85.6**. The mean score for Class 2 is **83.7**. Based on the mean, Class **1** generally performed better on the math test.