Question

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

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 will sum the scores of each class and then divide by the number of students in that class.

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

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

Number of students in Class 1 = 10

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

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

Sum of Class 2 scores:
\[ 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 930 \]

Number of students in Class 2 = 10

Mean score for Class 2:
\[ \text{Mean for Class 2} = \frac{930}{10} = 93.0 \]

Now, we can summarize the results:

- The mean score for Class 1 is **91.5**.
- The mean score for Class 2 is **93.0**.
- Based on the mean, Class **2** generally performed better on the math test.

Final Answer:
The mean score for Class 1 is 91.5. The mean score for Class 2 is 93.0. Based on the mean, Class 2 generally performed better on the math test.