Math Problem Statement

What is the class width for this histogram (and corresponding GFDT)? Note: Each class contains its lower class limit, but not its upper class limit.

Solution

To find the class width for the histogram, we need to determine the width of each interval along the x-axis. Each interval or "class" is defined by its range, from the lower limit to the upper limit.

Analyzing the Histogram:

The x-axis represents the "Number of People in 10 min," with the class intervals labeled as follows:

  • 110 to 120
  • 120 to 130
  • 130 to 140
  • 140 to 150

Calculating the Class Width:

The class width is the difference between the upper limit and the lower limit of any class interval.

Let's use the first class interval:

  • Lower limit: 110
  • Upper limit: 120

Class Width=120110=10\text{Class Width} = 120 - 110 = 10

Therefore, the class width for this histogram is 10.

Would you like more details or have any questions? Here are some related questions:

  1. What is the total frequency represented by this histogram?
  2. How do you find the midpoint of each class interval?
  3. What is the purpose of a histogram in representing data?
  4. How would you calculate the relative frequency for each class?
  5. Can you determine the mode of the dataset from the histogram?

Tip: Remember that the class width should be consistent across all intervals in a histogram for accurate representation.

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Math Problem Analysis

Mathematical Concepts

Statistics
Histograms
Class Width

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9