The table shows information about the time that each of 90 trains is delayed.
time (m minutes)
0<m≤10
10<m≤30
30<m≤45
45<m≤75
frequency
13
35
36
6
18(a)Measures Location SpreadMedium4 marks
Calculate an estimate of the mean.
Working
0 words
min
18(b)Histograms Cumulative Frequency Box PlotsMedium3 marks
A histogram is drawn to show the information in the table.
The height of the bar for the interval 10<m≤30 is 14 cm.
Calculate the height of the bar for each of the other intervals.
0<m≤10
cm
30<m≤45
cm
45<m≤75
cm
18(c)Probability Tree Diagrams Conditional ProbabilityMedium3 marks
Two of the trains with delays of more than 30 minutes are chosen at random.
Find the probability that just one of these trains is delayed for 45 minutes or less.