Question
Class A: The mean score is 115 and the range of scores is 41.
Class B: The mean score is 119 and the range of scores is 40.
Class C: The mean score is 111 and the range of scores is 38.
Class D: The mean score is 110 and the range of scores is 45.
(a) Based on the information above, which class’s scores have the least variability?
O Class A
(b) Based on the information above, which class has the highest scores on average?
O Class A Class B
Class B: The mean score is 119 and the range of scores is 40.
Class C: The mean score is 111 and the range of scores is 38.
Class D: The mean score is 110 and the range of scores is 45.
(a) Based on the information above, which class’s scores have the least variability?
O Class A
(b) Based on the information above, which class has the highest scores on average?
O Class A Class B
Ask by Bates Guerrero. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) Class C has the least variability.
(b) Class B has the highest average scores.
(b) Class B has the highest average scores.
Solution
Step 1. Determine the variability for each class using the range:
The range of a set of scores is given by
The range of a set of scores is given by
From the given information:
- Class A has a range of
. - Class B has a range of
. - Class C has a range of
. - Class D has a range of
.
The smallest range represents the least variability. Since
Step 2. Determine which class has the highest average score:
The given mean scores are:
The given mean scores are:
- Class A has a mean of
. - Class B has a mean of
. - Class C has a mean of
. - Class D has a mean of
.
The highest mean is
(a) The class with the least variability is Class C.
(b) The class with the highest average score is Class B.
(b) The class with the highest average score is Class B.
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Simplify this solution Mind Expander
The least variability in scores is found in Class C, with a range of 38, meaning the scores are closer together. As for the average, Class B takes the crown with a mean score of 119, slightly higher than Class A’s mean of 115. It’s a great way to see how averages alone don’t tell the whole story; looking at variability gives a fuller picture of student performance!
In data analysis, understanding both mean and range is crucial, especially when comparing different groups. While the mean tells you the central tendency, the range reveals how spread out the scores are. A smaller range often indicates that the students are performing in more similar ways, which can be beneficial for targeted teaching strategies.
