Math Problem Statement

What is the class width for the histogram showing the number of people entering the atrium in 10-minute intervals?

Solution

The problem is asking to determine the class width for a histogram where the number of people entering the atrium of a large mall has been recorded. From the histogram image, we can extract the necessary information to compute the class width.

Here's how you can solve the problem step-by-step:

  1. Class Limits Observation: From the histogram, the class intervals for the number of people appear to be:

    • 45–50
    • 50–55
    • 55–60
    • 60–65
  2. Class Width Calculation: The class width is the difference between the lower limit of one class and the lower limit of the next class. For instance: Class Width=5045=5\text{Class Width} = 50 - 45 = 5

Therefore, the class width is 5.

Would you like more details, or do you have any questions?

Here are five related questions to consider:

  1. What is the total number of intervals used in this histogram?
  2. How can you calculate the frequency density for each class in a histogram?
  3. Why is the class width important in constructing a histogram?
  4. What is the difference between class limits and class boundaries?
  5. How can the histogram be used to estimate the mean number of people entering the atrium?

Tip: When analyzing histograms, always check that the class intervals are consistent, as this affects the shape and interpretation of the data distribution.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Histograms
Class Intervals

Formulas

Class width = Lower limit of next class - Lower limit of current class

Theorems

None (This is a practical statistical calculation)

Suitable Grade Level

Grades 6-8