The table shows the journey times of 40 pupils. Time, $t$ (min)Frequency $0

Question

The table shows the journey times of 40 pupils. Time, $t$ (min)Frequency $0<t\leq10$$5$ $10<t\leq20$$10$ $20<t\leq30$$10$ $30<t\leq40$$10$ $40<t\leq50$$5$ Construct a cumulative-frequency table.[2] On the grid provided below, using a scale of 1 cm to represent 5 minutes on the horizontal axis and 1 cm to represent 5 pupils on the vertical axis, draw a cumulative-frequency curve for $0\leq t\leq50$.[3] Use your curve to estimate the median journey time.[1] Find the percentage of pupils whose journey took more than 40 minutes.[2]

Accepted Answer

(a) $0,5,15,25,35,40$ at $0,10,20,30,40,50$ min (b) Smooth increasing curve through these points (c) About $25$ min (d) $12.5\%$

Time, \(t\) (min)	Frequency
\(0<t\leq10\)	\(5\)
\(10<t\leq20\)	\(10\)
\(20<t\leq30\)	\(10\)
\(30<t\leq40\)	\(10\)
\(40<t\leq50\)	\(5\)

Constructing a cumulative-frequency curve

Constructing a cumulative-frequency curve

Solution:

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