True or False: Suppose the first class of a frequency distribution is 0–9.9 and the second class is 10–19.9. Then, the class width is 9.9.

Verified step by step guidance

1. Identify the class intervals given: the first class is from 0 to 9.9, and the second class is from 10 to 19.9.
2. Recall that the class width is the difference between the lower limit of a class and the lower limit of the next class, or equivalently, the difference between the upper and lower limits of a single class.
3. Calculate the class width by subtracting the lower limit of the first class from the lower limit of the second class: \$10 - 0 = 10$.
4. Alternatively, calculate the class width by subtracting the lower limit from the upper limit within the first class: \$9.9 - 0 = 9.9$.
5. Compare the two results and understand that the class width should be consistent and typically represents the distance between the lower limits of consecutive classes, which in this case is 10, not 9.9.

Key Concepts

Class Width

Class width is the difference between the upper and lower boundaries of a class interval in a frequency distribution. It represents the size or range of values included in each class. To calculate it, subtract the lower limit of a class from its upper limit.

Class Boundaries vs. Class Limits

Class limits are the smallest and largest values that can belong to a class, while class boundaries are the actual dividing points between classes, often adjusted to avoid gaps. Understanding this distinction helps accurately determine class width and avoid overlap or gaps.

Frequency Distribution Classes

In a frequency distribution, classes are intervals that group data points. Classes should be mutually exclusive and exhaustive, meaning they cover all data without overlapping. Proper class intervals ensure clear data organization and accurate statistical analysis.