Math Problem Statement
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:
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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
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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:
Therefore, the class width is 5.
Would you like more details, or do you have any questions?
Here are five related questions to consider:
- What is the total number of intervals used in this histogram?
- How can you calculate the frequency density for each class in a histogram?
- Why is the class width important in constructing a histogram?
- What is the difference between class limits and class boundaries?
- 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.
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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
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