Question 5 - A-Level Maths

Exam Board	CAIE
Module	S1 (Statistics 1)
Year	2011
Session	June
Topic	Data representation
Type	Draw cumulative frequency graph from frequency table

5 A hotel has 90 rooms. The table summarises information about the number of rooms occupied each day for a period of 200 days.

Number of rooms occupied	\(1 - 20\)	\(21 - 40\)	\(41 - 50\)	\(51 - 60\)	\(61 - 70\)	\(71 - 90\)
Frequency	10	32	62	50	28	18

Draw a cumulative frequency graph on graph paper to illustrate this information.
Estimate the number of days when over 30 rooms were occupied.
On \(75 \%\) of the days at most \(n\) rooms were occupied. Estimate the value of \(n\).