Math Problem Statement

Here is a data set. The goal is to construct a grouped frequency distribution table (GFDT) for this data set. The GFDT should have 10 classes with a 'nice' class width. Each class should contain its lower class limit, and the lower class limits should all be multiples of the class width. This problem is to determine what the class width should be. What is the range of this data set? Range = Using this information, if the goal is to have 10 classes, what is the nicest class width? Optimal class width =

Solution

To solve this:

  1. Find the range of the dataset:

    • Locate the maximum and minimum values in the dataset.
    • Range = Maximum - Minimum.

  2. Optimal class width:

    • Divide the range by the number of classes (10) to calculate the approximate class width.
    • Adjust to the nearest "nice" number, which is usually a rounded or easily divisible number.

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Math Problem Analysis

Mathematical Concepts

Range
Class Width
Frequency Distribution

Formulas

Range = Maximum - Minimum
Class Width = Range / Number of Classes

Theorems

None explicitly; involves numerical computation

Suitable Grade Level

Grades 9-12

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