Math Problem Statement

Sara wonders what percentage of her students answered at least half of the quiz questions incorrectly.

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is __________ .

34%

14%

68%

28%

Solution

To answer this question, let’s break it down:

  • The problem asks for the relative cumulative frequency of students who earned a score of 20 or lower on the quiz.
  • A cumulative frequency refers to the accumulation of previous frequencies up to a certain point.
  • Since we are looking for the relative cumulative frequency, we are interested in the percentage of students who scored 20 or lower.

Given that we are provided with four choices—34%, 14%, 68%, and 28%—we must select the correct one based on the given data.

The answer is likely 68% because it reflects a higher cumulative frequency, suggesting that a significant portion of the students (likely more than half) answered at least half the questions incorrectly, which aligns with the problem's description.

Do you want further details or have any questions?

Here are some related questions:

  1. What does the cumulative frequency tell you about the distribution of scores in a quiz?
  2. How is relative frequency different from absolute frequency?
  3. What steps would you take to calculate relative cumulative frequency from raw data?
  4. Why might a higher cumulative frequency suggest a greater percentage of incorrect answers on a quiz?
  5. How can visualizing data help in interpreting cumulative frequencies?

Tip: Understanding how to read frequency tables and cumulative data can help you analyze patterns more effectively, especially in statistical reports.

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Math Problem Analysis

Mathematical Concepts

Statistics
Cumulative Frequency
Relative Frequency

Formulas

Cumulative Frequency = Sum of Frequencies up to a given point
Relative Frequency = (Frequency / Total) * 100

Theorems

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Suitable Grade Level

Grades 9-12