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GATE 2022 BT – Question 8

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is CORRECT?

source diagram and its labels are reproduced in the attached image.
  1. mean > mode > median
  2. mode > median > mean
  3. mode > mean > median
  4. median > mode > mean 3 9 11 7 14 2 4 0 2 4 6 8 10 12 14 16 3 4 5 6 7 8 9 Frequency Marks

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Correct answer: (B) mode > median > mean

Explanation

The frequencies sum to 50. The weighted total is 292, so the mean is 5.84; median is 6 and mode is 7. Therefore mean < median < mode.