Question 1 - A-Level Maths

Exam Board	CAIE
Module	S1 (Statistics 1)
Year	2022
Session	June
Topic	Data representation
Type	Draw cumulative frequency graph from cumulative frequency table

1 The time taken, \(t\) minutes, to complete a puzzle was recorded for each of 150 students. These times are summarised in the table.

Time taken \(( t\) minutes \()\)	\(t \leqslant 25\)	\(t \leqslant 50\)	\(t \leqslant 75\)	\(t \leqslant 100\)	\(t \leqslant 150\)	\(t \leqslant 200\)
Cumulative frequency	16	44	86	104	132	150

Draw a cumulative frequency graph to illustrate the data.
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Use your graph to estimate the 20th percentile of the data.