If the number of passed out students of all five colleges is represented by a pie chart, what is the central angle (to nearest whole number) of the sector representing the passed out students of college C?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e.79°
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Concept |
Understanding |
Application |
Fair calculation |
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Pie chart represents 360 degree |
Extract the data from the table |
Total passed students from college A = 200 × 0.68 + 200 × 0.72 + 200 × 0.74 = 136 + 144 + 148 = 428 Total passed students from college B = 200 × 0.65 + 200 × 0.68 + 200 × 0.77 = 130 + 136 + 154 = 420 Total passed students from college C = 200 × 0.8 + 200 × 0.88 + 200 × 0.92 = 160 + 176 + 184 = 520 Total passed students from college D = 200 × 0.92 + 200 × 0.95 + 200 × 0.98 = 184 + 190 + 196 = 570 Total passed students from college E = 200 × 0.72 + 200 × 0.75 + 200 × 0.73 = 144 + 150 + 146 = 440 Hence, total passed students = 428 + 420 + 520 + 570 + 440 = 2378 Central angle of the sector representing the passed-out students of collegeC = [520/2378] × 360 = 79° |
[520/2378] × 360 = 0.2186 × 360 = 78.7 |