Math Problem Statement

Answer it

Prepare the frequency distribution, histogram, and frequency polygon for the given data. Consider the interval of 5.

Solution

Here are the visualizations based on the frequency distribution:

  1. Histogram: This shows the frequency of student scores across the intervals. You can see that the interval 19–24 has the highest frequency, with 8 students scoring within this range.

  2. Frequency Polygon: This is a line graph connecting the midpoints of each interval, representing the frequencies. It provides a clearer view of the distribution trends, with the peak at the 19–24 interval.

Would you like further details or any additional explanation on this analysis?

Related Questions:

  1. How do you calculate the midpoints for frequency polygons?
  2. What are the advantages of using histograms over frequency polygons?
  3. How would this data change if you used intervals of size 10 instead of 5?
  4. Can a cumulative frequency distribution be derived from this data?
  5. What is the difference between a bar graph and a histogram?

Tip: When creating histograms, always ensure the intervals (or bins) are of equal width to avoid skewing the data distribution.

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Math Problem Analysis

Mathematical Concepts

Frequency Distribution
Histogram
Frequency Polygon

Formulas

Frequency = Number of occurrences in an interval
Midpoint = (Lower bound + Upper bound) / 2

Theorems

Frequency distribution theorem
Visualization techniques for statistical data

Suitable Grade Level

Grades 9-12