Answer-first summary for fast verification
Answer: 0.523
Let F be the proportion of females. Applying the idea of a weighted mean: 1.671F + 1.757(1 - F) = 1.712 1.671F + 1.757 - 1.757F = 1.712 1.757 - 1.712 = 1.757F - 1.671F 0.045 = 0.086F F = 0.045 / 0.086 = 0.523 or 52.3% Therefore, 52.3% of the candidates are female.
Author: Nikitesh Somanthe
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The mean height of female FRM exam candidates over the years is 1.671m while that of male candidates is 1.757. Given that the mean height of ALL of the exam candidates is 1.712m, calculate the percentage of the candidates who are female:
A
0.523
B
0.46
C
0.087
D
0.477