Question

Given below are the marks of students in a less than cumulative frequency distribution table. Write the frequencies of the respective classes. Also write the Greater than cumulative frequencies. How many students marks are given in the table?

Class Interval (Marks)	$1-10$	$11-20$	$21-30$	$31-40$	$41-50$
L.C.F. (No of students)	$12$	$27$	$54$	$67$	$75$

Answer 1

$\Rightarrow$ Frequency table are as follows:

$ClassInterval\left(Marks\right)$	$L.CF.(Noofstudents$	$Frequency$
$1-10$	$12$	$12$
$11-20$	$27$	$27-12=15$
$21-30$	$54$	$54-27=27$
$31-40$	$67$	$67-54=13$
$41-50$	$75$	$75-67=8$

$\Rightarrow$ The following table is more than frequency table :

$ClassInterval\left(Marks\right)$	$M.C.F\left(Noofstudents\right)$
More than $1$	$12+63=75$
More than $11$	$15+48=63$
More than $21$	$27+21=48$
More than $31$	$13+8=21$
More than $41$	$8$

$\Rightarrow$ The total number of students are $75$.