Question

Six faces of a balanced die are numbered from integers $1$ to $6$. This die is tossed $60$ times and the frequency distribution of the integers obtained is given. Then the mean of the grouped data is

Integer	$1$	$2$	$3$	$4$	$5$	$6$
Frequency	$8$	$9$	$10$	$16$	$9$	$8$

• A. $3.25$
• B. $3.55$
• C. $3.45$
• D. $3.35$

Answer 1

Answer: (B)

$3.55$

$x_i$	$f_i$	$f_i{x}_i$
$1$	$8$	$8$
$2$	$9$	$18$
$3$	$10$	$30$
$4$	$16$	$64$
$5$	$9$	$45$
$6$	$8$	$48$

Mean$\left(\overline{x}\right)=\frac{\sum f_i{x}_i}{\sum f_i}=\frac{213}{60}=3.55$