Find the mediann of the data 61,92,41,57,43,71,58,99,108. fi 58 is replaced by 85, what will be the new median ?

Explanation

Arranging the given data in an ascending order, we get
41,43,57,58,61,71,92,99,108
The given of observations n=9 (odd)
Median = value of ` ((n+1)/2)` t observation
= value of ` ( (9+1)/2)`th observation
= value of 5th observation =61
On replacing 58 by 85 and arranging the new observations in an ascending order, we get
41,43,57,61,71,85,92,99,108
new median= value of 5th obsevation= 71