Classifying statistical data — Paper 1 · IGCSE Mathematics 0580

20 In a survey of 60 cars, the type of fuel that they use is recorded in the table below. For Examiner's Each car only uses one type of fuel. Use Petrol Diesel Liquid Hydrogen Electricity 40 12 2 6 (a) Write down the mode. Answer(a) [1] (b) Olav drew a pie chart to illustrate these figures. Calculate the angle of the sector for Diesel. Answer(b) [2] (c) Calculate the probability that a car chosen at random uses Electricity. Write your answer as a fraction in its simplest form. Answer(c) [2]

5 marks

Mark scheme: 20 (a) Petrol cao 1 (b) 72 2 M1 for 360 × 12 ÷ 60 1 6 3 2 (c) 2 B1 or or or 0.1 or 10% 10 60 30 20

This question in 0580/12 Oct/Nov 2011

6 Bryony asks her friends how many pets they have. She is going to use this table to record her results. Number of pets Frequency 0 – 1 1 – 2 2 – 3 3 or more Explain what is wrong with this frequency table. Answer … … [1] _____________________________________________________________________________________

1 marks

Mark scheme: 6 Overlapping class intervals oe 1

This question in 0580/12 May/June 2013

6 25 students chose their favourite drink. The results are listed below. Tea Hot chocolate Coffee Milkshake Tea Hot chocolate Coffee Hot chocolate Hot chocolate Milkshake Lemonade Tea Milkshake Milkshake Lemonade Coffee Hot chocolate Lemonade Tea Tea Hot chocolate Lemonade Hot chocolate Lemonade Lemonade Complete the frequency table for the results. You may use the tally column to help you. Favourite drink Tally Frequency Tea Coffee Lemonade Milkshake Hot chocolate [2]

2 marks

Mark scheme: 6 5, 3, 6, 4, 7 2 B1 for 3 correct If zero scored, SC1 for correct tally, or frequencies if frequency column incorrect

This question in 0580/13 May/June 2017

14 The mass, correct to the nearest gram, of each of 20 potatoes is shown below. 85 97 125 100 90 102 116 89 96 104 89 107 106 93 84 118 120 98 112 109 (a) Complete the frequency table. You may use the tally column to help you. Mass (g) Tally Frequency 80 to 89 90 to 99 100 to 109 110 to 119 120 to 129 [2] (b) Write down the modal group. … [1]

3 marks

Mark scheme: 14(a) Frequencies 4, 5, 6, 3, 2 cao 2 B1 for 3 or 4 correct in frequency column or for fully correct tally if no frequencies 14(b) 100 to 109 1 FT their frequency table

This question in 0580/13 Oct/Nov 2017

9 50 students each choose their favourite colour from a list of six colours. The results for the colours Red, Orange, Yellow, Green and Blue are shown in the tally chart. Complete the tally chart. Favourite colour Tally Red IIII IIII I Orange IIII IIII IIII Yellow IIII IIII Green IIII Blue III Purple [2]

2 marks

Mark scheme: 9 2 B1 for 11, 14, 9, 5, 3 allow one error or omission or for 50 − 42 seen or for 8 purple

This question in 0580/12 May/June 2019

15 Davina records the colour of each car passing her house one morning. red grey black red grey white white black black white grey red grey white grey black grey black white grey (a) Complete the frequency table. You may use the tally column to help you. Colour of car Tally Frequency Black Grey Red White [2] (b) Write down the mode. … [1]

3 marks

Mark scheme: 15(a) 5 2 B1 for 2 correct frequencies in frequency 7 column 3 or for all correct tallies if frequency column 5 blank or for 5, 7, 3, 5 seen in tally column with frequency column blank or incorrect 15(b) grey cao 1 FT their table

This question in 0580/13 Oct/Nov 2019

11 The number of people swimming in a pool is recorded each day for 12 days. 24 28 13 38 15 26 45 21 48 36 18 38 (a) Complete the stem-and-leaf diagram. 1 2 3 4 Key: 1 3 represents 13 swimmers [2] (b) Find the median number of swimmers. … [1]

3 marks

Mark scheme: 11(a) 1 3 5 8 2 M1 for correct but not ordered or for two 2 1 4 6 8 correct rows ordered 3 6 8 8 4 5 8 11(b) 27 1

This question in 0580/12 Feb/March 2020

12 Fernando records the favourite sport of each of 20 people. football cricket rugby cricket rugby rugby football football rugby football cricket rugby tennis football tennis football rugby cricket football cricket (a) Complete the frequency table to show this information. You may use the tally column to help you. Favourite sport Tally Frequency Cricket Football Rugby Tennis [2] (b) Fernando wants to draw a pie chart to show this information. Work out the sector angle for football. … [2]

4 marks

Mark scheme: 12(a) 5 2 B1 for two or three correct 7 6 2 12(b) 126 2 their 7 M1 for [× 360 ] 20 or [ their 7 ×]360 20

This question in 0580/12 Oct/Nov 2020

21  = {children in a group} R = {children who own a rabbit} H = {children who own a hamster} There are 40 children in the group. 19 children own a rabbit. 27 children own a hamster. (a) Complete the Venn diagram. R H 16 5 [2] (b) Write down n ( R + H ) . … [1]

3 marks

Mark scheme: 21(a) 8, 11 2 B1 for one correct or for their two values adding to 19 21(b) 11 1 FT their 11

This question in 0580/13 Oct/Nov 2020

23 (a) At an airport, 216 people are asked whether they speak English (E ) or French (F ). 125 speak English. 43 speak both English and French. 61 do not speak English or French. E F (i) Complete the Venn diagram. [2] (ii) Find n(F ). … [1] (b) A B On this Venn diagram, shade the region A + B . [1] Question 24 is printed on the next page.

4 marks

Mark scheme: 23(a)(i) 2 B1 for at least two figures in the correct E F places 82 43 30 61 23(a)(ii) 73 1 FT their Venn diagram 23(b) Correct shading for A∩B 1

This question in 0580/12 Oct/Nov 2021

10 The birth weights, in kg, of 11 babies are recorded. 2.1 1.6 2.7 4.2 4.0 2.2 3.1 1.7 2.6 3.3 3.7 (a) Complete the stem-and-leaf diagram to show this information. 1 2 3 4 Key: 2 1 represents 2.1 kg [2] (b) Find the median. … kg [1]

3 marks

Mark scheme: 10(a) 6 7 2 B1 for 2 rows correctly ordered 1 2 6 7 or fully correct unordered 1 3 7 0 2 10(b) 2.7 cao 1

This question in 0580/11 Oct/Nov 2022

3 A football team has 16 players at a training session. Kim records the colour of each of their shirts. Blue Silver Green Green Silver Silver Red Silver Green Red Silver Silver Blue Green White Blue Complete the frequency table. You may use the tally column to help you. Colour Tally Frequency Blue Green Red Silver White [2]

2 marks

Mark scheme: 3 3 2 B1 for three or four correct frequencies or 4 for correct tallies if frequencies blank or 2 all frequencies correct but in tally column 6 1

This question in 0580/12 Oct/Nov 2022

8 On ten days, Stefan records the number of minutes he has to wait for a train. 1 3 12 5 4 23 5 24 11 8 (a) Complete the stem-and-leaf diagram to show this information. 0 1 3 1 2 Key: 0 q1 represents 1 minute [2] (b) Find the median. … min [1]

3 marks

Mark scheme: 8(a) 2 B1 for a correct diagram with one 0 (1 3) 4 5 5 8 error or omission or for a fully 1 1 2 correct unordered stem-and-leaf diagram 2 3 4 8(b) 6.5 1

This question in 0580/12 May/June 2023

4 Bobby records the number of days a shop is open during 30 days. Tally Frequency Days open |||| |||| |||| |||| ||| Days not open Complete the table. [2]

2 marks

Mark scheme: 4 2 B1 for one correct 23, 7, |||| ||

This question in 0580/13 May/June 2023

7 For 16 days, Safia records the number of dresses she sells. 24 6 18 14 27 37 9 16 22 17 16 16 24 20 15 32 (a) Complete the stem-and-leaf diagram. 0 1 2 3 Key: 2 4 represents 24 dresses [2] (b) Write down the mode. … [1] (c) Find the median. … [1]

4 marks

Mark scheme: 7(a) 2 B1 for two or three rows correct or for a fully 0 6 9 correct unordered stem-and-leaf diagram or for a correct diagram with one error or 1 4 5 6 6 6 7 8 omission 2 0 2 4 4 7 3 2 7 7(b) 16 1 7(c) 17.5 1

This question in 0580/12 Oct/Nov 2023

19 Jo asks some people if they own a car (C) and if they own a motorbike (M). 86 people own a car. 39 people own a motorbike. 7 people do not own a car and do not own a motorbike. C M 74 (a) Complete the Venn diagram. [2] (b) Find the total number of people that Jo asks. … [1] (c) Write down n ( C + M ) . … [1]

4 marks

Mark scheme: 19(a) 2 B1 for 12 or 27 in the correct position or n(M) = 39 provided the intersection is not empty cao 19(b) 120 1 FT their complete diagram 19(c) 12 1 FT their intersection provided not empty

This question in 0580/11 Oct/Nov 2024

14 These are the ages, in months, of each of 12 children. 11 27 8 10 26 17 28 12 9 13 22 12 (a) Complete the stem-and-leaf diagram to show this information. 0 1 2 Key: 1 | 7 represents 17 months [2] (b) Find the number of children over 2 years old. … [1] (c) Show that the median is 12.5 . [1]

4 marks

Mark scheme: 14(a) 2 B1 for a correct ordered diagram with 0 8 9 one error or omission or for a correct but unordered stem-and- 1 0 1 2 2 3 7 leaf diagram 2 2 6 7 8 14(b) 3 1 14(c) 12 + 13 1 oe leading to 12.5 nfww 2

This question in 0580/11 Oct/Nov 2025

24 % = {students in a year group} H = {students who study History} G = {students who study Geography} 80 students are in the year group. 40 students study History. % H G 10 15 (a) Complete the Venn diagram. [2] (b) Find n(G). … [1] (c) A student is chosen at random. Work out the probability that the student does not study History and does not study Geography. … [1]

4 marks

Mark scheme: 24(a) 2 B1 for one correct value correctly placed If 0 scored, SC1 for two positive integers such that n(G) = 55 24(b) 55 1 FT their 30 + their 25 provided their 30 + their 25 is less than 80 24(c) 15 1 oe 80

This question in 0580/11 Oct/Nov 2025

4 Ben records the favourite sport of each of 20 students. Football Cricket Hockey Rugby Football Tennis Rugby Football Football Rugby Tennis Football Rugby Football Cricket Football Rugby Football Cricket Cricket Complete the frequency table. You may use the tally column to help you. Sport Tally Frequency Cricket Football Hockey Rugby Tennis [2]

2 marks

Mark scheme: 4 4 2 B1 for 3 correct frequencies 8 If 0 scored SC1 for all correct tallies if 1 frequency column blank 5 or for all correct frequencies but in tally 2 column

This question in 0580/13 Oct/Nov 2025