4400 Higher June 2009 Paper 3 Q10

EdexcelHigherOld spec8 marksCumulative FrequencyGrouped Data

10 The table shows information about the distances walked in a week by 40 people.

Distance (\(d\) km)Frequency
\(0 \lt d \leqslant 20\)8
\(20 \lt d \leqslant 40\)24
\(40 \lt d \leqslant 60\)5
\(60 \lt d \leqslant 80\)2
\(80 \lt d \leqslant 100\)1
(a) Work out an estimate for the mean distance walked in a week by the 40 people. (4)

The information in the table was used to draw the cumulative frequency graph.

Cumulative frequency graph, cumulative frequency 0 to 40 against distance 0 to 100 km
(b) Find an estimate for the number of people who walked less than 25 km. (2)
(c) Find an estimate for the interquartile range of the distances walked by the 40 people. (2)