Math Problem Statement

Draw a histogram and frequency polygon from the given class interval and frequency data.

Solution

Here is the histogram and frequency polygon based on the given data. The histogram (in blue) represents the frequencies of each class interval, while the frequency polygon (in red) connects the midpoints of the class intervals, illustrating the distribution pattern.

Would you like further details on how to interpret or construct these graphs?

Here are some related questions you might find useful:

  1. What are the steps to manually draw a histogram?
  2. How do you calculate the midpoint of a class interval?
  3. What is the difference between a histogram and a bar chart?
  4. When is it more appropriate to use a frequency polygon instead of a histogram?
  5. How can you determine the skewness of data from a histogram?

Tip: In a frequency polygon, it's helpful to add the points before the first and after the last class intervals with zero frequencies to close the graph at both ends.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Representation
Frequency Distribution

Formulas

Midpoint of Class Interval = (Lower Class Limit + Upper Class Limit) / 2

Theorems

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Suitable Grade Level

Grades 8-10