The numbers 9, 11, 12, 16, 18, 22 and \(N\) are arranged in ascending order. The mean of these numbers is equal to their median. What is the value of \(N\)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 24
The numbers are already in ascending order, so \(N\) is the largest and the median of the seven numbers is the 4th value. The mean is then set equal to it.
Median \(=\) 4th value \(=16\)
Sum of the six known numbers \(=9+11+12+16+18+22=88\)
Mean \(\displaystyle=\frac{88+N}{7}=16\)
\(88+N=112\), so \(N=24\)
24 is larger than 22, so the order holds. The value of \(N\) is 24.