The question provides data about four classes, including their range of scores and mean scores. Let's analyze the two parts of the question:

Part (a): Lowest Scores on Average

The mean score of each class indicates the average performance:

• Class A: Mean = 104
• Class B: Mean = 113
• Class C: Mean = 105
• Class D: Mean = 110

The lowest mean is 104 (Class A).
Answer for part (a): Class A.

Part (b): Least Variability

The range of scores measures the difference between the highest and lowest scores in each class. A smaller range indicates less variability:

• Class A: Range = 47
• Class B: Range = 44
• Class C: Range = 50
• Class D: Range = 48

The smallest range is 44 (Class B).
Answer for part (b): Class B.

Would you like further clarification or additional details on these calculations?

Here are 5 related questions to expand your understanding:

1. How is the range of a data set calculated, and what does it represent?
2. Why might a smaller range indicate more consistency in scores?
3. How does the mean differ from the median, and when would one be preferred?
4. What other statistical measures could help assess variability besides the range?
5. Can two data sets have the same range but different variabilities?

Tip: The mean is useful for understanding central tendency, but it can be affected by outliers, while the range is a quick indicator of spread.