What is the median of the following data?
\(-3,\ 2,\ 11,\ 0,\ -4,\ -8,\ -1,\ 14,\ 16,\ -8\)
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(-\frac{1}{2}\)
The median is the middle value after arranging the data in order. With an even number of values, it is the average of the two middle values.
In ascending order: \(-8, -8, -4, -3, -1, 0, 2, 11, 14, 16\)
There are 10 values, so the middle values are the 5th and the 6th: \(-1\) and \(0\)
Median \(\displaystyle=\frac{-1+0}{2}=-\frac{1}{2}\)
The median is \(-\frac{1}{2}\).