Math Problem Statement

Suppose a golf course hosted a fundraiser tournament to raise money for a local school. The histogram shows the final scores of each participant. The histogram shows: - 67–74: Frequency = 4 - 75–82: Frequency = 4 - 83–90: Frequency = 7 - 91–98: Frequency = 3 - 99–106: Frequency = 2 Total Frequency = 20 What is the relative frequency of scores of 75–82? What is the relative frequency of scores of 91–106?

Solution

Let's analyze the updated image to confirm the details and ensure accuracy in the answers:

  1. Histogram Analysis (rechecking frequencies)

    • Interval 67–74: Frequency = 4
    • Interval 75–82: Frequency = 4
    • Interval 83–90: Frequency = 7
    • Interval 91–98: Frequency = 3
    • Interval 99–106: Frequency = 2

    Total Frequency = 4 + 4 + 7 + 3 + 2 = 20

  2. Reconfirm Relative Frequency Calculations

    a. Relative Frequency for Scores 75–82

    • Frequency for 75–82 = 4
    • Relative Frequency = 420=0.20\frac{4}{20} = 0.20

    b. Relative Frequency for Scores 91–106

    • Combined frequency for intervals 91–98 and 99–106 = 3 + 2 = 5
    • Relative Frequency for 91–106 = 520=0.25\frac{5}{20} = 0.25

Final Confirmed Answers:

  • a. Relative frequency of scores 75–82 = 0.20
  • b. Relative frequency of scores 91–106 = 0.25

Would you like more details on any part of this solution?


  1. How do you calculate total frequency from a histogram?
  2. Why is relative frequency useful in data interpretation?
  3. Can relative frequency be expressed as a percentage, and how?
  4. What is the role of intervals in statistical data representation?
  5. How do histograms differ from other types of frequency charts?

Tip: Always verify histogram data before calculations to ensure accuracy in relative frequencies.

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Math Problem Analysis

Mathematical Concepts

Statistics
Relative Frequency
Histograms

Formulas

Relative Frequency = Frequency of Interval / Total Frequency

Theorems

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Suitable Grade Level

Grades 6-8