4 The stem-and-leaf diagram shows the ages of the 16 workers in a shop on 1st January 2022. 2 3 5 7 3 4 6 6 6 9 4 1 1 7 5 0 7 7 8 6 1 Key: 2 5 represents 25 (a) (i) Work out the range. ................................................. [1] (ii) Write down the mode. ................................................. [1] (iii) Work out the median. ................................................. [1] (iv) Work out the percentage of workers that are older than 40 but younger than 60. .............................................. % [2] (b) On 1st January 2023 the shop has the same 16 workers. Write down the range, the mode and the median on 1st January 2023. Range ................................................ Mode ................................................ Median ................................................ [2] © UCLES 2024 0580/31/M/J/24 9 (c) On 1st January 2024 the oldest worker leaves. His replacement is a new worker born on 12th November 1970. There are no other changes to the workers. Complete the stem-and-leaf diagram for 1st January 2024. 2 5 7 9 3 6 8 8 8 4 5 6 Key: 2 5 represents 25 [2] (d) The shop owner is x years old. x is a prime number. x+2 is a square number. x-2 is a multiple of 9. Find the value of x. x = ................................................ [2] © UCLES 2024 0580/31/M/J/24 [Turn over 10