0580 P42 - Nov 2024 - Q5 - 15 marks
11811
The cumulative frequency diagram shows monthly distances for 80 motorists.
(a(i)(a)) Estimate the median. [1]
(a(i)(b)) Estimate the interquartile range. [2]
(a(ii)) One motorist is selected at random. Find the probability they travel more than 1800 km. [2]
(b) A car completes a 5.104 km lap in 1 minute 18 seconds. Find its average speed in km/h. [3]
The histogram shows the top speeds of 160 cars.
(c(i)) Show 8 cars have top speed 120<v≤160. [1]
(c(ii)) Estimate the mean top speed, showing all working. [6]
