Question

Find mean, median and mode of the given data

$7,19,19,7,25,7$

Answer 1

Step 1: Finding the mean

We know that,

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

$=\frac{7+19+19+7+25+7}{6}$

$=\frac{84}{6}=14$

Step 2: Finding the median

Arranging the given data in ascending order

$7,7,7,19,19,25$

We can observe that total number of observation are even i.e.; $6$.

So, Median$=$ Mean of $\left(\frac{N}{2}\right)th$ and $\left(\frac{N}{2}+1\right)th$ observation.

$=$Mean of $\left(\frac{6}{2}\right)th$ and $\left(\frac{6}{2}+1\right)th$ observation.

$=$Mean of $3rd$ and $4th$ observation.

$=\frac{7+19}{2}=\frac{26}{2}=13$

Step 3: Finding the mode

By observing the data, we can see, $7$is having the heighest frequency i.e.; $3$

So, the mode of given data is $7$.

Hence, the mean, median and mode of given data are $14,13,$ and $7$ respectively.