Question

Draw an ogive by less than method for the following data:

No. of rooms	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
No. of houses	$4$	$9$	$22$	$28$	$24$	$12$	$8$	$6$	$5$	$2$

Answer 1

No. of rooms	No. of houses	Cumulative frequency
Less than or equal to $1$	$4$	$4$
Less than or equal to $2$	$9$	$13$
Less than or equal to $3$	$22$	$35$
Less than or equal to $4$	$28$	$63$
Less than or equal to $5$	$24$	$87$
Less than or equal to $6$	$12$	$99$
Less than or equal to $7$	$8$	$107$
Less than or equal to $8$	$6$	$113$
Less than or equal to $9$	$5$	$118$
Less than or equal to $10$	$2$	$120$

We need to plot the points $(1,4),(2,13),(3,35),(4,63),(5,87),(6,99),(7,107),(8,113),(9,118),(10,120),$ by taking upper class limit over the x-axis and cumulative frequency over the y-axis.