Math Problem Statement

Based on the histogram, find the proportion of mathematics test scores in the sample that are greater than or equal to 600. Write your answer as a decimal, and do not round your answer.

Solution

To calculate the proportion of mathematics test scores that are greater than or equal to 600:

  1. Identify the relevant bars on the histogram:

    • For scores greater than or equal to 600, we include the relative frequencies for:
      • 600–650: 0.220.22
      • 650–700: 0.300.30
      • 700–750: 0.240.24
      • 750–800: 0.100.10
  2. Sum these relative frequencies: 0.22+0.30+0.24+0.10=0.860.22 + 0.30 + 0.24 + 0.10 = 0.86

Thus, the proportion of test scores greater than or equal to 600 is 0.86.

Would you like further clarification or assistance with related concepts? Here are some questions to explore:

  1. How is a histogram's relative frequency calculated?
  2. What is the difference between relative and cumulative frequencies?
  3. How can you calculate proportions for different intervals?
  4. How do histograms differ from other graph types, like bar charts?
  5. Can the data from this histogram be used to calculate probabilities?

Tip: When analyzing histograms, always verify that the relative frequencies add up to 1 to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Relative frequency
Histogram interpretation
Proportions

Formulas

Sum of relative frequencies to calculate proportions

Theorems

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Suitable Grade Level

Grades 7-10