Question

Find mean, median and mode of the given data

$63,72,72,85,84$

Answer 1

Step 1: Finding the mean

We know that,

$Mean=\frac{Sumofalltheobservations}{Totalnumberofobservation}$

$=\frac{63+72+72+85+84}{5}$

$=\frac{376}{5}=75.2$

Step 2: Finding the median

Arranging the given data in ascending order

$63,72,72,84,85$

We can observe that total number of observation are odd i.e.; $5$.

So, the median $=\left(\frac{n+1}{2}\right)th$ observation.

$=\left(\frac{5+1}{2}\right)th=\left(\frac{6}{2}\right)th=3rd$ observation

$=72$

Step 3: Finding the mode

By observing the data, we can see, $72$is having the heighest frequency i.e.; $2$

So, mode of the given data is $72$.

Hence, mean, median and mode of given data are $75.2,72$ and $72$ respectively.