Fifteen candidates appeared in an examination. The marks of the candidates who passed in the examination are 9, 6, 7, 8, 8, 9, 6, 5, 4 and 7. What is the median of marks of all the fifteen candidates?
- A. 6 ✓
- B. 6.5
- C. 7
- D. 7.5
Correct Answer: A. 6
Explanation
Out of 15 candidates, 10 passed and 5 failed. The marks of the 5 failed candidates must be less than 4 (the lowest passing mark). When sorted in ascending order, the failed candidates take the 1st to 5th positions. The sorted passed marks are 4, 5, 6, 6, 7, 7, 8, 8, 9, 9. The median of 15 values is the 8th value, which is the 3rd passed mark: 6.
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