Question
The test scores of the students in four classes are summarized below. Answer the questions about them. Class A: The mean score is 95 and the range of scores is 41 . Class B: The mean score is 100 and the range of scores is 36 . Class C: The mean score is 101 and the range of scores is 37 . Class D: The mean score is 99 and the range of scores is 35 . (a) Based on the information above, which class has the highest scores on average? (b) Based on the information above, whici class's scores have the least variability? O Class A Class B
Ask by Bright Vaughan. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**Class C has the highest average scores, and Class D has the least variability in scores.**
Solution
**Step 1: Determine the class with the highest average**
- The mean scores for the classes are:
- Class A: \(95\)
- Class B: \(100\)
- Class C: \(101\)
- Class D: \(99\)
- The highest mean is \(101\) for Class C.
Thus, the answer for part (a) is: **Class C**.
**Step 2: Determine the class with the least variability**
- The variability in this context is measured by the range of the scores.
- The ranges for the classes are:
- Class A: \(41\)
- Class B: \(36\)
- Class C: \(37\)
- Class D: \(35\)
- The smallest range is \(35\) for Class D, indicating the least variability.
Thus, the answer for part (b) is: **Class D**.
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Class C has the highest average score with a mean of 101, soaring above the other classes. This indicates that on average, students in Class C performed better than their peers in Classes A, B, and D. Regarding variability, Class D has the least range with only 35 points separating its highest and lowest scores. This suggests that the scores in Class D are more consistent compared to the other classes, where scores vary more significantly.
