Question

The mean of the ungrouped data is given by:

• A. Mean $=\frac{\sum x_i}{\sum f}$
• B. Mean $=\frac{\sum x}{n}$
• C. Mean $=\frac{\sum fx}{\sum n}$
• D. Mean $=a+\frac{\sum fx}{\sum n}$

Answer 1

The correct option is B Mean $=\frac{\sum x}{n}$

We know, Mean is given by,

$\text{Mean}=\frac{\text{Sum of the elements}}{\text{Total number of elements}}$.

Let us suppose that total $n$ numbers give in ungrouped data are $x_1,x_2,x_3.........x_n.$

Then mean of those observation will be give by

$\overline{x}=\frac{x_1,x_2,x_3.........x_n}{n}=\frac{\Sigma x}{n}$

i.e. Mean $=\frac{\sum x}{n}$.

Hence, option $B$ is correct.