Math Problem Statement

What is the class width for this Frequency Distribution Table?

Solution

To determine the class width of this frequency distribution table, we need to look at the class intervals provided for the number of students. The class width is the difference between the lower and upper boundaries of any class interval.

From the table:

  • The first class is "0 - 3"
  • The second class is "4 - 7"
  • The third class is "8 - 11"
  • The fourth class is "12 - 15"
  • The fifth class is "16 - 19"

Now, calculate the class width:

  • For the first class, the upper boundary is 3, and the lower boundary is 0, so the width is 30=33 - 0 = 3.
  • Similarly, the other classes have the same width.

Thus, the class width is 4.

Would you like more details or clarification on this?

Here are some related questions for further exploration:

  1. What is the difference between class boundaries and class limits?
  2. How do you calculate the frequency of a given class in a frequency distribution?
  3. What is a cumulative frequency distribution, and how do you calculate it?
  4. How do you interpret the frequency distribution table in a real-world context?
  5. How do you calculate the midpoint for each class interval?

Tip: When determining the class width, make sure to check for consistency across all intervals, as they should generally be equal.

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Math Problem Analysis

Mathematical Concepts

Frequency Distribution
Class Intervals
Statistics

Formulas

Class Width = Upper Bound - Lower Bound

Theorems

Fundamental Theorem of Statistics

Suitable Grade Level

Grades 7-9