Question

Find the mean, median and mode of the following data : 26, 32, 18, 30, 52, 18, 47, 17, 32, 26, 32

Answer 1

Step 1: Calculating the Mean

$$\begin{gathered} \mathrm{Mean}=\frac{\mathrm{Sum}\mathrm{of}\mathrm{observations}}{\mathrm{no}.\mathrm{of}\mathrm{observations}} \\ =\frac{(26+32+18+30+52+18+47+17+32+26+32)}{11} \\ =\frac{330}{11}=30 \end{gathered}$$

Step 2: Calculating the MEDIAN

First write the given data in ascending order as follows :

17, 18, 18, 26, 26, 30, 32, 32, 32, 47, 52

Since the no. of terms are 11 which is an odd number, therefore, the median of the given data will be $\frac{11+1}{2}=6^{th}term=30$

So, the median is 30.

Step 3: Finding MODE

Since the most repeated number is 32 here which is repeating 3 times, therefore, the Mode is 32.

Final answer : Therefore the mean, median, mode of the given data is 30, 30, 32 respectively.