1 Zachary asks the 30 students in his class which is their favourite sport. The table shows the results. Netball Football Hockey Tennis 7 12 6 5 Complete the pictogram. Netball Football Hockey Tennis Key: represents 4 people [2]

1 Pictogram completed correctly 2 B1 for 2 rows completed correctly

4 The stem‑and‑leaf diagram shows the number of hours that each of 16 students studied last week. 1 2 5 6 8 2 0 1 1 7 9 3 2 3 4 5 4 4 5 7 Key: 1q2 represents 12 hours Find (a) the median, … h [1] (b) the mode, … h [1] (c) the range. … h [1]

4(a) 28 1 4(b) 21 1 4(c) 35 1 (a) To earn this mark, you need to correctly identify the median value from the stem-and-leaf diagram, which is 28 hours. (b) To earn this mark, you need to correctly identify the mode (most frequent value) from the stem-and-leaf diagram, which is 21 hours. (c) To earn this mark, you need to correctly calculate the range by subtracting the smallest value from the largest value, which is 35 hours.

4 253 306 185 270 386 Calculate the mean of these numbers. … [2]

4 280 2 M1 for (253 + 306 + 185 + 270 + 386) ÷ 5 To score marks, you must correctly calculate the mean, which involves summing all five numbers and then dividing by 5.

5 The number of items that each of 22 people buy in a supermarket is shown in the stem-and-leaf diagram. 1 1 3 6 6 2 0 2 2 2 4 8 9 3 1 1 5 8 9 9 4 2 4 6 7 8 Key: 1 | 1 represents 11 items (a) Find the mode. … [1] (b) Find the median. … [1]

5(a) 22 1 5(b) 30 1 (a) To earn this mark, you need to identify the number that appears most frequently in the stem-and-leaf diagram. (b) To earn this mark, you need to find the middle value of the ordered data set.

6 These are the heights of four sisters. 1.61 m 1.65 m 1.53 m 1.58 m (a) Work out the range of these heights. Give your answer in centimetres. … cm [2] (b) The four sisters have a brother. The range of the five heights is 18 cm. Work out the two possible heights of the brother. … m or … m [2]

6(a) 12 2 M1 for 1.65−1.53 soi by figs 12 or B1 for a clear subtraction seen of any 2 heights correctly converted to cm 6(b) 1.47 1.71 2 B1 for each or M1 for 1.65 0.18 − or 1.53 0.18 + (a) To earn full marks, you must state 12 cm; one mark is awarded for showing the subtraction 1.65 - 1.53 or for correctly converting any two heights to cm and showing their subtraction. (b) To earn full marks, you must state both 1.47 m and 1.71 m; one mark is awarded for each correct height, or for showing the calculation 1.65 - 0.18 or 1.53 + 0.18.

Cambridge IGCSE Mathematics · 0580

IGCSE Mathematics (0580) Statistics past paper questions

Statistics questions test averages, frequency tables, histograms, and cumulative frequency. Topical practice makes reading and drawing each diagram type routine.

217 free questions from 2016–2021, each with its marking scheme. Open the full topical bank to filter by subtopic, paper, and year.