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

Question

UpStudy AI · Accepted Answer

**Step 1. Determine the variability for each class using the range:**  
The range of a set of scores is given by  
$$
\text{Range} = \text{Highest Score} - \text{Lowest Score}
$$  
From the given information:  
- Class A has a range of $$41$$.  
- Class B has a range of $$40$$.  
- Class C has a range of $$38$$.  
- Class D has a range of $$45$$.

The smallest range represents the least variability. Since $$38$$ is the smallest, **Class C** has the least variability.

**Step 2. Determine which class has the highest average score:**  
The given mean scores are:  
- Class A has a mean of $$115$$.  
- Class B has a mean of $$119$$.  
- Class C has a mean of $$111$$.  
- Class D has a mean of $$110$$.

The highest mean is $$119$$, so **Class B** has the highest average score.

**(a)** The class with the least variability is **Class C**.  
**(b)** The class with the highest average score is **Class B**.
**(a)** Class C has the least variability. **(b)** Class B has the highest average scores.

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