Using short cut method, find the mean, variance and standand deviation for the data:

$x_i$	$10$	$15$	$18$	$20$	$25$
$f_i$	$3$	$2$	$5$	$8$	$2$

 

Using short cut method, find the mean, variance and standand deviation for the data:

Using short cut method, find the mean, variance and standard deviation for the data:

$\begin{array}{|cccccc|}\hline \text{ Class }& 0-10& 10-20& 20-30& 30-40& 40-50\\ \text{ Frequency }& 5& 8& 15& 16& 6\\ \hline\end{array}$

Using short cut method, find the mean, variance and standard deviation for the data:

$\begin{array}{|cccccccc|}\hline \text{ Class }& 30-40& 40-50& 50-60& 60-70& 70-80& 80-90& 90-100\\ \text{ Frequency }& 3& 7& 12& 15& 8& 3& 2\\ \hline\end{array}$

Using short cut method, find the mean, variance and standard deviation for the data:

$\begin{array}{|cccccc|}\hline \text{ Class }& 25-35& 35-45& 45-55& 55-65& 65-75\\ \text{ Frequency }& 64& 132& 153& 140& 51\\ \hline\end{array}$