Question

Find the median of the following data: $41,43,127,99,61,92,71,58,57$.
If $58$ is replaced by 85, what will be the new median?

Answer 1

Arranging the given data in ascending order, we have:
41, 43, 57, 58, 61, 71, 92, 99,127
Here, the number of observations, n, is 9(odd).
Therefore median $=(n+1)/2$ th term
Median = value of 5th term
Hence, the median $=61$.
If $58$ is replaced by $85$, then the new observations arranged in ascending order are:
$41,43,57,61,71,85,92,99,12$
New median = Value of the 5th observation $=71$.