Higher June 2024 Paper 2 Q13

EdexcelHigherCurrent spec7 marksCumulative Frequency

13 The table gives information about the distances, in km, that 70 teachers travel to school.

Distance (\(d\) km)Frequency
\(0 \lt d \leqslant 10\)7
\(10 \lt d \leqslant 20\)17
\(20 \lt d \leqslant 30\)18
\(30 \lt d \leqslant 40\)14
\(40 \lt d \leqslant 50\)10
\(50 \lt d \leqslant 60\)4
(a) Complete the cumulative frequency table.
Distance (\(d\) km)Cumulative frequency
\(0 \lt d \leqslant 10\)
\(0 \lt d \leqslant 20\)
\(0 \lt d \leqslant 30\)
\(0 \lt d \leqslant 40\)
\(0 \lt d \leqslant 50\)
\(0 \lt d \leqslant 60\)
(1)
(b) On the grid below, draw a cumulative frequency graph for your table. (2)
Empty cumulative frequency grid: cumulative frequency from 0 to 70 against distance from 0 to 60 km
(c) Use your graph to find an estimate for the interquartile range of the distances. (2)
(d) Use your graph to find an estimate for the number of teachers who travel more than 46 km. (2)
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