91Ó°ÊÓ

The mean of a set of data is the quotient of the sum of observations and the number of observations.

The median is the middle number in a sorted, ascending, or descending, set of numbers.

The mode of the set of data is the observation that occurs highest times.

The sum of observation for the given set of data is:

$17+24+16+3+12+11+24+15=122$.

And, the total number of observations is 8. So, the mean of the given set of data is $\frac{122}{8}=15.25$.

The given set of data in ascending order is $\left\{3,11,12,15,16,17,24,24\right\}$. The total number of observations is 8, i.e., even.

The median of the set of data is the mean of the fourth and fifth observations.

$\begin{array}{c}\frac{15+16}{2}=\frac{31}{2}\\ =15.5\end{array}$

So, the median of the given set of data is 15.5.

In the given data set, observation 24 in the set occurs most of the time. So, the mode of the given set of data is 24.

Therefore, the mean, median, and mode of the set of data $\left\{3,11,12,15,16,17,24,24\right\}$are 15.25, 15.5, and 24 respectively.