Math Problem Statement
To construct a frequency table using the class boundaries provided, we will need to interpret the histogram in the image to estimate the frequency of highway mileages that fall within each class interval.
Given Class Boundaries:
- 16.5 - 20.5
- 20.5 - 24.5
- 24.5 - 28.5
- 28.5 - 32.5
- 32.5 - 36.5
- 36.5 - 40.5
Steps:
- Examine the histogram to estimate how many cars (i.e., the frequency) fall into each mileage range based on the height of the bars.
- Record the frequencies corresponding to the intervals based on the histogram data.
| Class Boundaries | Frequency | |------------------|-----------| | 16.5 - 20.5 | [Frequency for this class] | | 20.5 - 24.5 | [Frequency for this class] | | 24.5 - 28.5 | [Frequency for this class] | | 28.5 - 32.5 | [Frequency for this class] | | 32.5 - 36.5 | [Frequency for this class] | | 36.5 - 40.5 | [Frequency for this class] |
Since I don't have access to the visual details of the histogram from your image, I can't directly read the frequencies. However, you can match the height of each bar in the histogram to the corresponding class boundary and fill in the frequencies.
Once you fill in the frequencies, you will have the complete frequency table.
If you want, you can describe the approximate heights (or counts) for each bar from the histogram, and I can help finalize the table for you. Let me know how you'd like to proceed!
Solution
To finalize the frequency table, it’s important to understand the relationship between the histogram bars and the class intervals.
If you could describe the heights of the histogram bars or provide an image of the histogram, I would be able to help you estimate the frequency of each class boundary. Once you provide the heights or the image, we can complete the frequency table.
Alternatively, here’s how you can do it:
- Observe each bar's height for the corresponding class interval.
- Estimate or count the number of cars that fall within each class boundary.
- Fill in the table with these frequencies.
Here’s the table with placeholder frequencies:
Class Boundaries | Frequency |
---|---|
16.5 - 20.5 | [Your Estimate] |
20.5 - 24.5 | [Your Estimate] |
24.5 - 28.5 | [Your Estimate] |
28.5 - 32.5 | [Your Estimate] |
32.5 - 36.5 | [Your Estimate] |
36.5 - 40.5 | [Your Estimate] |
Would you like to upload an image of the histogram or describe the heights of the bars?
Expanding questions:
- How are frequencies and relative frequencies different in a frequency table?
- Can you explain how class width affects the shape of the histogram?
- What is the difference between class boundaries and class limits?
- How can cumulative frequency be represented using this table?
- How would you create a relative frequency histogram from this data?
Tip: Always ensure the sum of frequencies matches the total number of observations in your data.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Histograms
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12