Questions: The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is therefore of students answered more than half the questions correctly.

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is therefore of students answered more than half the questions correctly.
Transcript text: The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is therefore of students answered more than half the questions correctly.
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Solution

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Solution Steps

Step 1: Identify the total number of students

To find the total number of students, sum the frequencies of all the grade intervals.

\[ 4 + 8 + 15 + 7 + 7 + 3 + 4 + 2 = 50 \]

Step 2: Calculate the number of students who scored 20 or lower

Sum the frequencies of the grade intervals that are 20 or lower.

\[ 4 (1-5) + 8 (6-10) + 15 (11-15) + 7 (16-20) = 34 \]

Step 3: Calculate the relative cumulative frequency

Divide the number of students who scored 20 or lower by the total number of students and convert it to a percentage.

\[ \frac{34}{50} \times 100 = 68\% \]

Final Answer

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 68%. Therefore, 68% of students answered more than half the questions correctly.

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