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Exam GradesScore Count[40–50) 1[50–60) 2[60–70) 4[70–80) 5[80–90) 2[90–100] 1What percentage of students earned less than a grade of 70 on the exam?9%15%47%53%93%

Question

Exam GradesScore Count[40–50) 1[50–60) 2[60–70) 4[70–80) 5[80–90) 2[90–100] 1What percentage of students earned less than a grade of 70 on the exam?9%15%47%53%93%

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Solution

To find the percentage of students who earned less than a grade of 70 on the exam, we need to calculate the cumulative count of students who scored less than 70 and divide it by the total number of students.

From the given data, we can see that there are 1 student in the [40-50) range, 2 students in the [50-60) range, and 4 students in the [60-70) range.

To calculate the cumulative count, we add up these counts: 1 + 2 + 4 = 7.

Now, we divide this cumulative count by the total number of students, which is the sum of all the counts: 1 + 2 + 4 + 5 + 2 + 1 = 15.

So, the percentage of students who earned less than a grade of 70 on the exam is (7/15) * 100 = 46.67%.

Therefore, the closest option to the calculated percentage is 47%.

This problem has been solved

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