Number of readers in a library are given below. Write the frequency of respective classes. Also write the less than cumulative frequency table.
Number of books $1 - 10$ $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$
Less than Cumulative frequency $3$ $8$ $19$ $25$ $30$

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Solution

We can see class intervals are noncontinuous, so we are going to make class interval continuous.
$N u m b e r o f b o o k s$ $L e s s t h a n c . f$
$0.5 - 10.5$ $3$
$10.5 - 20.5$ $8$
$20.5 - 30.5$ $19$
$30.5 - 40.5$ $25$
$40.5 - 50.5$ $30$
Now, we are going form less than cumulative frequency table:
$N u m b e r o f b o o k s$ $L C F$
$L e s s t h a n 10.5$ $3$
$L e s s t h a 20.5$ $8$
$L e s s t h a n 30.5$ $19$
$L e s s t h a n 40.5$ $25$
$L e s s t h a n 50.5$ $30$

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Similar questions

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

Runs	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
No of cricketers	$3$	$8$	$19$	$25$	$30$

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$2$	$3$	$7$	$8$	$5$

\begin{matrix} Marks & Cumulative frequency Less than 10 & 5 Less than 20 & 16 Less than 30 & 35 Less than 40 & K Less than 50 & 80 \end{matrix}

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Number of books	$1 - 10$	$11 - 20$	$21 - 30$	$31 - 40$	$41 - 50$
Less than Cumulative frequency	$3$	$8$	$19$	$25$	$30$