6 (a) The cumulative frequency table shows information about the speed of each of 200 cars as they pass a speed camera. Speed v G 70 v G 80 v G 90 v G 95 v G 100 v G 120 (v km/h) Cumulative 12 46 115 155 177 200 frequency (i) On the grid, draw the cumulative frequency diagram. 200 180 160 140 120 Cumulative 100 frequency 80 60 40 20 0 v 60 70 80 90 100 110 120 Speed (km/h) [3] © UCLES 2023 0580/43/M/J/23 11 (ii) Use your cumulative frequency diagram to find an estimate of (a) the median ........................................ km/h [1] (b) the interquartile range ........................................ km/h [2] (c) the number of cars with a speed greater than 110 km/h. ................................................. [2] (b) The frequency table shows information about the mass of each of 50 trucks. Mass 2000 1 m G 2600 2600 1 m G 3500 3500 1 m G 5000 5000 1 m G 5700 (m kg) Frequency 12 15 16 7 (i) Calculate an estimate for the mean mass of the trucks. ............................................ kg [4] (ii) In a histogram showing this information, the height of the first block is 6 cm. Calculate the heights of the remaining three blocks. Height of block for 2600 1 m G 3500 .......................................... cm Height of block for 3500 1 m G 5000 .......................................... cm Height of block for 5000 1 m G 5700 ........................................... cm [3] © UCLES 2023 0580/43/M/J/23 [Turn over 12