Math Problem Statement

What is the class width for this Frequency Distribution Table?

Solution

The class width for a frequency distribution table is calculated as the difference between the upper limit of one class and the upper limit of the previous class (or equivalently, the difference between consecutive lower limits or consecutive upper limits).

From the table provided:

  • The lower limit of the first class is 0, and the upper limit is 2.
  • The lower limit of the second class is 3, and the upper limit is 5.

The class width is:

Class Width=Lower limit of second classLower limit of first class\text{Class Width} = \text{Lower limit of second class} - \text{Lower limit of first class}

Class Width=30=3\text{Class Width} = 3 - 0 = 3

Thus, the class width is 3.

Would you like me to clarify or elaborate further on this?

Here are 5 related questions for deeper exploration:

  1. What is the significance of choosing consistent class widths in frequency tables?
  2. How would the class width change if the range of the data increased?
  3. Can a frequency distribution table have variable class widths, and how would that affect analysis?
  4. How is the class width related to the histogram representation of data?
  5. What happens to the clarity of data when class widths are too small or too large?

Tip: Always ensure class widths are consistent when comparing multiple frequency distributions.

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Math Problem Analysis

Mathematical Concepts

Frequency Distribution
Class Width

Formulas

Class Width = Lower limit of second class - Lower limit of first class

Theorems

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Suitable Grade Level

Grades 6-8