5 (a) There are 160 people in a village. The cumulative frequency diagram shows information about their ages. 160 140 120 100 Cumulative 80 frequency 60 40 20 0 0 10 20 30 40 50 60 70 Age (years) (i) Find an estimate for (a) the median age ................................................. [1] (b) the lower quartile ................................................. [1] (c) the number of people who are 50 or more years of age ................................................. [2] (d) the 65th percentile. ................................................. [2] © UCLES 2023 0580/41/M/J/23 11 (ii) The youngest person in the village is 1 year old and the oldest is 70 years old. (a) Draw a box-and-whisker plot to show the distribution of ages in the village. 0 10 20 30 40 50 60 70 80 Age (years) [3] (b) Write down an estimate of the percentage of people in the village that are younger than the median age. ............................................. % [1] (b) The frequency table shows information about the age of each person in another village. Age (n years) 0 1 n G 20 20 1 n G 30 30 1 n G 50 50 1 n G 80 Frequency 52 37 24 60 On the grid, complete the histogram to show this information. The first block has been drawn for you. 4 3 Frequency 2 density 1 0 n 0 10 20 30 40 50 60 70 80 Age (years) [3] © UCLES 2023 0580/41/M/J/23 [Turn over 12