Question

Find the mean and median of the data:
$35,48,92,76,64,52,51,63$ and $71$.
If $51$ is replaced by $66$, what will be the new median?

• A. $65$
• B. $64$
• C. $66$
• D. $67$

Answer 1

The correct option is B $64$

Arranging data in ascending order- $35,48,51,52,63,64,71,76,92$
Count of observations $=9$
Mean $=$ Sum of all observations/count $=\frac{552}{9}=61.33$
Median for odd number of data is the middle most observation
So median $=$ $5^{th}$ observation $=63$

If $51$ is replaced by $66$, then the observations in ascending order will be- $35,48,52,63,64,66,71,76,92$
Again Median for odd number of data is the middle most observation
So new median $=5^{th}$ observation $=64$