Question

The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by students for their studies by direct method.

Time (hrs.)	$0-2$	$2-4$	$4-6$	$6-8$	$8-10$
No. of students	$7$	$18$	$12$	$10$	$3$

• A. $4hrs$
• B. $5hrs$
• C. $4.36hrs$
• D. $5.36hrs$

Answer 1

The correct option is C $4.36hrs$

We have

$\sum fi=50$

let no of students $=fi$

and $x=\frac{Lowerlimitupperlimit}{2}$

$x=\frac{0+2}{2}=1$

Similarly by calculating all $x_i^{\prime }s$

We can calculate $\sum fixi=218$

Now, we know that Direct method of mean

$\overline{x}=\frac{\sum fixi}{\sum fi}$

$\overline{x}=\frac{218}{50}=4.36hrs$

$\overline{x}=4.36hrs$ Hence this is the answer