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Consider the following data:           marks:   10-19, 20-29, 30-39, 40-49, 59-59no. of students: 15,        20,        35,         10,         4What is the angle of sector for marks 30-39Select one:a.70b.90c.150d.180

Question

Consider the following data:           marks:   10-19, 20-29, 30-39, 40-49, 59-59no. of students: 15,        20,        35,         10,         4What is the angle of sector for marks 30-39Select one:a.70b.90c.150d.180

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Solution

To find the angle of the sector for the marks 30-39, we need to calculate the percentage of students in that range compared to the total number of students.

First, let's calculate the total number of students: 15 + 20 + 35 + 10 + 4 = 84

Next, let's calculate the percentage of students in the 30-39 marks range: 35 / 84 * 100 = 41.67%

To find the angle of the sector, we need to convert this percentage into degrees. Since a full circle is 360 degrees, we can use the following formula:

Angle of sector = (Percentage / 100) * 360

Angle of sector = (41.67 / 100) * 360 = 150.012 degrees

Therefore, the angle of the sector for marks 30-39 is approximately 150 degrees.

The correct answer is option c. 150.

This problem has been solved

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