Higher January 2019 Paper 1 Q9

EdexcelHigherCurrent spec5 marksCumulative Frequency

9 The table shows information about the speeds of 60 cycles.

Speed (\(s\) km/h)Frequency
\(0 \lt s \leqslant 10\)3
\(10 \lt s \leqslant 20\)16
\(20 \lt s \leqslant 30\)24
\(30 \lt s \leqslant 40\)10
\(40 \lt s \leqslant 50\)5
\(50 \lt s \leqslant 60\)2
(a) Complete the cumulative frequency table. (1)
Speed (\(s\) km/h)Cumulative frequency
\(0 \lt s \leqslant 10\)        
\(0 \lt s \leqslant 20\) 
\(0 \lt s \leqslant 30\) 
\(0 \lt s \leqslant 40\) 
\(0 \lt s \leqslant 50\) 
\(0 \lt s \leqslant 60\) 
(b) On the grid, draw a cumulative frequency graph for your table. (2)
Blank grid with cumulative frequency from 0 to 60 on the vertical axis and speed from 0 to 60 km/h on the horizontal axis
(c) Use your graph to find an estimate for the interquartile range of the speeds. (2)