4400 Higher November 2004 Paper 4 Q10

EdexcelHigherOld spec8 marksCumulative FrequencyGrouped Data

10 The table gives information about the speeds, in km/h, of 200 cars passing a speed checkpoint.

Speed
(\(v\) km/h)		Frequency
\(30 \lt v \leqslant 40\)20
\(40 \lt v \leqslant 50\)76
\(50 \lt v \leqslant 60\)68
\(60 \lt v \leqslant 70\)28
\(70 \lt v \leqslant 80\)8
(a) Write down the modal class. (1)
(b) Work out an estimate for the probability that the next car passing the speed checkpoint will have a speed of more than 60 km/h. (2)
(c) Complete the cumulative frequency table.
Speed
(\(v\) km/h)		Cumulative
frequency
\(30 \lt v \leqslant 40\) 
\(30 \lt v \leqslant 50\) 
\(30 \lt v \leqslant 60\) 
\(30 \lt v \leqslant 70\) 
\(30 \lt v \leqslant 80\) 
(1)
(d) On the grid, draw a cumulative frequency graph for your table.
Grid: cumulative frequency 0 to 200 against speed v km/h from 30 to 80
(2)
(e) Use your graph to find an estimate for the inter-quartile range of the speeds.
Show your method clearly. (2)
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