S1 January 2012 Q1

EdexcelOld spec4 marksData Processing

1. The histogram in Figure 1 shows the time, to the nearest minute, that a random sample of 100 motorists were delayed by roadworks on a stretch of motorway.

Histogram: Frequency Density against Time (minutes) from 0 to 25; bars 3.5 to 6.5 height 2, 6.5 to 8.5 height 7, 8.5 to 9.5 height 21, 9.5 to 12.5 height 15, 12.5 to 15.5 height 3, 15.5 to 20.5 height 1
Figure 1
(a) Complete the table.
Delay (minutes)Number of motorists
4 – 66
7 – 8
921
10 – 1245
13 – 159
16 – 20
(2)
(b) Estimate the number of motorists who were delayed between 8.5 and 13.5 minutes by the roadworks. (2)