The test scores of the students in four classes are summarized below. Answer the questions about them.
Class A: The mean score is 124 and the range of scores is 28 .
Class B: The mean score is 117 and the range of scores is 25 .
Class C : The mean score is 115 and the range of scores is 31 .
Class D: The mean score is 119 and the range of scores is 32 .
(a) Based on the information above, which class has the lowest scores on average?
(b) Based on the information above, which class’s scores have the most variability?
(O Class A

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1. Identify the mean score for each class:
   - Class A: $$124$$
   - Class B: $$117$$
   - Class C: $$115$$
   - Class D: $$119$$

2. To determine which class has the lowest scores on average, compare the mean values:
   - The lowest mean is $$115$$ (Class C).

3. Identify the range of scores for each class:
   - Class A: $$28$$
   - Class B: $$25$$
   - Class C: $$31$$
   - Class D: $$32$$

4. The range shows the variability of the scores. The class with the highest range has the most variability:
   - The highest range is $$32$$ (Class D).

$$
\text{(a) Class C has the lowest scores on average.}
$$
$$
\text{(b) Class D's scores have the most variability.}
$$
(a) Class C has the lowest scores on average. (b) Class D's scores have the most variability.

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