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.
Remaining Attempts : 3
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.
Remaining Attempts : 3
Answers
GPT-4o mini
To find the mean score for each class, we need to calculate the average of the test scores for Class 1 and Class 2.
**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 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90
Sum of Class 1 scores:
\[ 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 42 \]
Number of students in Class 1: 10
Mean score for Class 1:
\[ \text{Mean} = \frac{\text{Sum of scores}}{\text{Number of scores}} = \frac{858}{10} = 85.8 \]
**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 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 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 = 80 + 79 + 78 + 88 + 89 + 75 + 80 + 87 + 85 + 93 = 80 + 79 + 78 + 88 + 89 + 75 + 80 + 87 + 85 + 93 = 80 + 79 + 78 + 88 + 89 + 75 + 80 + 87 + 85 + 93 = 80 + 79 + 78 + 88 + 89 + 75 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93
Number of students in Class 2: 10
Mean score for Class 2:
\[ \text{Mean} = \frac{\text{Sum of scores}}{\text{Number of scores}} = \frac{849}{10} = 84.9 \]
### Summary:
- Mean score for Class 1: 85.8
- Mean score for Class 2: 84.9
### Conclusion:
Based on the mean, Class 1 generally performed better on the math test.
So the final answers are:
- Mean score for Class 1: **85.8**
- Mean score for Class 2: **84.9**
- Class that performed better: **Class 1**
**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 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90 = 75 + 80 + 84 + 79 + 92 + 86 + 86 + 86 + 90
Sum of Class 1 scores:
\[ 75 + 80 + 84 + 79 + 92 + 86 + 88 + 86 + 86 + 90 = 42 \]
Number of students in Class 1: 10
Mean score for Class 1:
\[ \text{Mean} = \frac{\text{Sum of scores}}{\text{Number of scores}} = \frac{858}{10} = 85.8 \]
**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 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 83 + 85 + 91 + 93 + 72 + 85 + 76 + 80 + 82 + 89 = 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 = 80 + 79 + 78 + 88 + 89 + 75 + 80 + 87 + 85 + 93 = 80 + 79 + 78 + 88 + 89 + 75 + 80 + 87 + 85 + 93 = 80 + 79 + 78 + 88 + 89 + 75 + 80 + 87 + 85 + 93 = 80 + 79 + 78 + 88 + 89 + 75 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93 = 80 + 81 + 78 + 88 + 89 + 78 + 80 + 87 + 85 + 93
Number of students in Class 2: 10
Mean score for Class 2:
\[ \text{Mean} = \frac{\text{Sum of scores}}{\text{Number of scores}} = \frac{849}{10} = 84.9 \]
### Summary:
- Mean score for Class 1: 85.8
- Mean score for Class 2: 84.9
### Conclusion:
Based on the mean, Class 1 generally performed better on the math test.
So the final answers are:
- Mean score for Class 1: **85.8**
- Mean score for Class 2: **84.9**
- Class that performed better: **Class 1**