If the mean of $20$ observations is $27.2$,then $\Sigma f_{i} x_{i}$ is ............

Draw a histogram for the following frequency distribution with unequal class length:

Class	$0-5$	$5-10$	$10-20$	$20-30$	$30-50$	$50-70$	$70-100$
Frequency	$6$	$8$	$14$	$16$	$24$	$20$	$30$

The points scored by a basketball team in a series of matches are as follows:
$17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28$
Find the median and mode for the data.

The mean of the data: $2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5$ is given to be $5$. Based on this information,is it correct to say that the mean of the data: $10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4$ is $10$? Give reason.

The frequency distribution is given below:

Marks	$0-20$	$20-40$	$40-60$	$60-100$
Number of Students	$10$	$15$	$20$	$25$

This distribution has been represented graphically as shown in the image. Is this representation correct? Explain.

$A$ grouped frequency distribution table with classes of equal sizes using $63-72$ ($72$ included) as one of the class is constructed for the following data:
$30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88$
$40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96$
$102, 110, 88, 74, 112, 14, 34, 44$
The number of classes in the distribution will be: