Use the frequency histogram below to determine (a) the number of classes and (b) the class width.

• A. (a) 5 classes; (b) 2
• B. (a) 5 classes; (b) 3
• C. (a) 4 classes; (b) 3
• D. (a) 14 classes; (b) 2

Answer: (B)

Verified step by step guidance

1. Identify the number of classes by counting the distinct bars in the histogram. Each bar represents a class.
2. Count the number of bars in the histogram. In this case, there are 5 bars, indicating 5 classes.
3. Determine the class width by examining the range of each class. The class width is the difference between the upper and lower boundaries of a class.
4. Look at the first class, which ranges from 0 to 2. The class width is calculated as 2 - 0 = 2.
5. Verify the class width by checking other classes. For example, the second class ranges from 3 to 5, and the width is 5 - 3 = 2. This confirms the class width is consistent across all classes.