Interpreting statistical data — Paper 1 · IGCSE Mathematics 0580

15 Some children took part in a sponsored swim to raise money for charity. For The scatter diagram shows the results for 10 of the children. Examiner's Use 100 D 90 A 80 J 70 60 C H Money raised 50 I ($) E 40 30 F 20 G B 10 0 50 100 150 200 250 300 350 400 450 500 550 600 Distance (metres) (a) (i) How much further did A swim than J ? Answer(a)(i) m [1] (ii) How much more money did D raise than F ? Answer(a)(ii) $ [1] (b) The results for 2 more children are given in the table below. Child Distance (m) Money raised ($) K 125 35 L 475 80 Plot the results for K and L on the scatter diagram. [1] (c) What type of correlation does the scatter diagram show? Answer(c) [1]

4 marks

Mark scheme: 15 (a) (i) 175 1 (ii) 70 1 (b) 2 points plotted correctly (±1mm). 1 (c) Positive 1 IGCSE – October/November 2010 0580 12

This question in 0580/12 Oct/Nov 2010

5 10 8 6 Frequency 4 2 0 Black Silver Red Green Blue Favourite colour The bar chart shows the favourite colours of students in a class. (a) How many students are in the class? Answer(a) [1] (b) Write down the modal colour. Answer(b) [1]

2 marks

Mark scheme: 5 (a) 25 1 (b) Green cao 1 258 75

This question in 0580/11 Oct/Nov 2011

9 For Examiner's 30 Use 25 20 Temperature 15 (°C) 10 5 0 6 am 9 am Noon 3 pm 6 pm Time The graph shows the temperature in Paris from 6 am to 6 pm one day. (a) What was the temperature at 9 am? Answer(a) °C [1] (b) Between which two times was the temperature decreasing? Answer(b) and [1] (c) Work out the difference between the maximum and minimum temperatures shown. Answer(c) °C [1]

3 marks

Mark scheme: 9 (a) 15 1 (b) 2 (pm), 6 (pm) 1 (c) 15 1 Allow −15

This question in 0580/11 Oct/Nov 2011

14 A bag contains only red, yellow and blue counters. For Bashira picks a counter at random from the bag, records its colour, and puts it back in the bag. Examiner's She does this 60 times. Use (a) Complete the table for her results. Colour Frequency Relative frequency Red 19 Yellow Blue 28 [2] (b) Gita picks a counter at random from the same bag. Which colour counter is she most likely to pick? Answer(b) [1]

3 marks

Mark scheme: 14 (a) 13 1 19 their 13 1ft All needed for the mark (Red) (Yellow) oe isw cancelling or decimals after correct fractions 60 60 seen 28 (Blue) oe 60 (b) Blue 1ft Strict ft their highest frequency

This question in 0580/12 Oct/Nov 2011

20 Marco throws a six-sided dice 27 times. For Examiner's The bar chart shows his results. Use 8 7 6 5 Frequency 4 3 2 1 0 1 2 3 4 5 6 Score on dice (a) Write down the mode. Answer(a) … [1] (b) Work out the probability that Marco throws a number less than 5. Answer(b) … [2] (c) Calculate the mean. Answer(c) … [3]

6 marks

Mark scheme: 20 (a) 4 cao 1 (b) 21 2 M1 for 3 + 6 + 5 + 7 + 4 or 21 seen 27 oe isw (c) 3.33(3…) 3 M1 for 3 × 1 + 6 × 2 + 5 × 3 + 7 × 4 + 4 × 5 + 2 × 6, allow one incorrect product or 90 seen and M1 dep for ‘their 90’ ÷ 27

This question in 0580/11 May/June 2013

1 The table shows the distances by road, in kilometres, between some towns in New Zealand. For Examiner′s Use Auckland 126 Hamilton New Napier 300 426 Plymouth 415 242 368 Rotorua 319 229 109 235 Wellington 460 356 332 531 657 Write down the distance between Rotorua and Hamilton. Answer … km [1] _____________________________________________________________________________________

1 marks

Mark scheme: Question Answers Mark Part Marks 1 109 1

This question in 0580/13 May/June 2013

25 William Toby Town 4 3 Distance 2 (km) 1 Home 0 10 00 10 04 10 08 10 12 10 16 10 20 10 24 10 28 10 32 Time Toby and William cycled into town. Their journeys are shown on the travel graph. (a) For how many minutes did Toby stop on his journey into town? Answer(a) … min [1] (b) Explain what happened at 10 20. Answer(b) … [1] (c) Work out how long William took to cycle into town. Answer(c) … min [1] (d) Calculate William’s speed in km/h. Answer(d) … km/h [2] __________________________________________________________________________________________

5 marks

Mark scheme: 25 (a) 6 1 (b) They are at the same place at the same time 1 (c) 16 1 (d) 15 cao 2 M1 FT for 4 × 60 oe their ( c ) IGCSE – May/June 2014 0580 13

This question in 0580/13 May/June 2014

20 (a) Maria travels by bus to the shopping mall. She leaves home at 11 50 and arrives at the shopping mall at 12 17. How many minutes does it take Maria to travel from home to the shopping mall? Answer(a) … min [1] (b) Shopping mall 5 4 3 Distance from home (km) 2 1 Home 0 14 00 14 15 14 30 14 45 15 00 15 15 15 30 15 45 16 00 Time Maria walks home from the shopping mall. The travel graph shows part of her journey. (i) Maria stops at her friend’s house on the way home. How far from the shopping mall does her friend live? Answer(b)(i) … km [1] (ii) Maria leaves her friend’s house at 14 55. She walks the rest of the way home at a constant speed of 4 km/h. Complete the travel graph. [2] __________________________________________________________________________________________

4 marks

Mark scheme: 20 (a) 27 1 (b) (i) 2 1 3 (ii) Ruled line from 14 55 to 2 B1 for or 0.75 or 45 [min] or 15 40 or 3:40 4 15 40

This question in 0580/11 Oct/Nov 2015

18 The scatter diagram shows the prices of houses for sale and their distances from the city centre. 600 550 500 450 400 Price of house (thousands of 350 dollars) 300 250 200 150 100 0 2 4 6 8 10 12 14 16 18 20 Distance from the city centre (km) (a) What type of correlation is shown in this scatter diagram? … [1] (b) Brad wants to live as close to the city centre as possible. He has a maximum of $500 000 to spend on one of these houses. How close to the city centre can he live? … km [1] (c) (i) Draw a line of best fit on the scatter diagram. [1] (ii) Estimate the price of a house that is 14 km from the city centre. $ … [1]

4 marks

Mark scheme: 18 (a) Negative 1 (b) 4 1 (c) (i) Ruled line of best fit 1 (ii) 250 000 to 380 000 1

This question in 0580/11 May/June 2016

21 The table shows the temperature each night for a week. Monday Tuesday Wednesday Thursday Friday Saturday Sunday –3 °C 1 °C – 4 °C –2 °C 5 °C 3 °C –1 °C (a) Which night was the coldest? … [1] (b) Find the difference between the temperature on Monday night and the temperature on Tuesday night. … °C [1] (c) Find the range. … °C [1] (d) Find the median. … °C [1]

4 marks

Mark scheme: 21 (a) Wed[nesday] 1 (b) 4 1 (c) 9 1 (d) –1 nfww 1 1

This question in 0580/12 May/June 2016

1 The distance-time graph shows the first 10 minutes of a cycle journey. 4 3 Distance (km) 2 1 0 0 1 2 3 4 5 6 7 8 9 10 Time (minutes) (a) After how many minutes did the cyclist stop? … minutes [1] (b) How many kilometres did the cyclist travel in the first 8 minutes? … km [1]

2 marks

Mark scheme: Question Answer Mark Part marks 1 (a) 6 1 (b) 2.5 1 9

This question in 0580/12 Oct/Nov 2016

8 James is an animal doctor. The table shows some information about the cats he saw in one week. Day Monday Tuesday Wednesday Thursday Friday Number of 2 4 1 3 2 cats seen Mean mass of 1.9 0.9 2.1 1.8 2 a cat (kg) One of the cats James saw had a mass of 4 kg. On which day did he see this cat? … [2]

2 marks

Mark scheme: 8 Thursday 2 M1 for 5.4 found or at least two of: 3.8, 3.6 and 4 found

This question in 0580/13 Oct/Nov 2016

14 30 25 20 Number of students 15 10 5 0 A B C D E F Class The bar chart shows the number of students in each of the Classes A, B, C, D and F. (a) Write down how many more students there are in Class D than in Class B. … [1] (b) The total number of students in these six classes is 117. Draw the bar for Class E. [2]

3 marks

Mark scheme: 14 (a) 9 1 (b) Bar height 23 drawn 2 M1 for [117 –] 22 + 15 + 19 + 24 + 14 or B1 for 94 or 23 seen

This question in 0580/12 Feb/March 2017

22 Monday Tuesday Wednesday Thursday Friday Saturday 67 75 53 68 94 87 The table shows the number of customers in a restaurant on each day it is open during one week. (a) Write down the day most customers came into the restaurant. … [1] (b) Calculate the mean number of customers per day. … [2] (c) Find the range of the number of customers. … [1]

4 marks

Mark scheme: 22(a) Friday 1 22(b) 74 2 M1 for (67 + 75 + 53 + 68 + 94 + 87) ÷ 6 22(c) 41 1

This question in 0580/12 May/June 2018

20 Juan travels from his home to a shop. The travel graph shows his journey. 18 Shop 12 Distance (km) 6 Home 0 13 00 14 00 15 00 16 00 Time (a) Find the distance Juan travels to the shop. … km [1] (b) Write down what happens at 14 00. … [1] (c) Juan travels home at a constant speed of 15 km/h. He leaves the shop at 15 15. Complete the travel graph. [1]

3 marks

Mark scheme: 20(a) 15 1 20(b) He stopped or 1 arrived at the shop 20(c) Ruled line from 1 (15 15, 15) to (16 15, 0)

This question in 0580/11 Oct/Nov 2019

6 Sara walks from home to school. The travel graph shows her journey. 3 School 2 Distance (km) 1 Home 0 08 00 08 10 08 20 08 30 08 40 08 50 09 00 Time (a) Sara stops at a shop on her way to school. Find the distance of the shop from her home. … km [1] (b) School starts at 08 55. Find the number of minutes between the time Sara arrives at school and the time school starts. … min [1]

2 marks

Mark scheme: 6(a) 1.2 1 6(b) 10 1

This question in 0580/12 Oct/Nov 2019

18 Mrs Salaman gives her class two mathematics tests. The scatter diagram shows information about the marks each student scored. 70 60 50 40 Test 2 30 20 10 0 0 10 20 30 40 50 60 70 Test 1 (a) Write down the highest mark scored on test 1. … [1] (b) Write down the type of correlation shown in the scatter diagram. … [1] (c) Draw a line of best fit on the scatter diagram. [1] (d) Hamish scored a mark of 40 on test 1. He was absent for test 2. Use your line of best fit to find an estimate for his mark on test 2.

4 marks

Mark scheme: 18(a) 66 1 18(b) Positive 1 18(c) Ruled line of best fit 1 18(d) 46 to 50 1 FT their line of best fit if a positive gradient 2 B1 for each 19 29.65 29.75 If 0 scored, SC1 for both correct but reversed

This question in 0580/11 May/June 2020

1 This bar chart shows the amount of rainfall, in mm, for each month of one year in a city. 60 50 40 Rainfall 30 (mm) 20 10 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month (a) Write down the month with the least amount of rainfall. … [1] (b) This bar chart shows the number of days it rained each month for the same year in this city. 20 15 Number 10 of days 5 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Month Mia says that the months with the most rainfall also have the greatest number of days it rained. Explain why she is wrong. … … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) Feb 1 1(b) September and October have most 1 rainfall, June has most rain days oe

This question in 0580/13 Oct/Nov 2020

9 20 15 Number of students 10 5 0 1 to 20 21 to 40 41 to 60 61 to 80 81 to 100 Marks The bar chart shows the marks scored by a group of 55 students in an examination. Work out the percentage of this group of students who scored marks from 21 to 80. … % [3]

3 marks

Mark scheme: 9 81.8 or 81.81 to 81.82 3 M2 for their12 + their15 + their18 [× 100] oe 55 or M1 for their 12 + their 15 + their 18 oe

This question in 0580/12 May/June 2021

12 Emma has 15 mathematics questions to complete. The stem‑and‑leaf diagram shows the time, in minutes, it takes her to complete each question. 0 3 5 6 7 7 8 8 1 1 2 2 3 6 6 6 2 0 Key: 2 q0 = 20 minutes Complete the table. Mode … min Median … min Range … min [3]

3 marks

Mark scheme: 12 3 B1 for each Mode 16 Median 11 Range 17

This question in 0580/12 May/June 2021

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]

2 marks

Mark scheme: 5(a) 22 1 5(b) 30 1

This question in 0580/11 Oct/Nov 2021

17 The table shows the relative frequency of the games won by a football team. Result of game won lost drawn Relative frequency 0.1 The number of games lost is twice the number of games drawn. Complete the table. [3]

3 marks

Mark scheme: 17 3 B2 for 0.6 oe or 0.3 oe lost drawn or M1 for 1 – 0.1 or 0.9 seen 0.6 oe 0.3 oe

This question in 0580/11 Oct/Nov 2021

4 The pictogram shows the number of different coloured cars a garage sells in a month. Yellow Red White Silver Key: = 12 cars Work out how many more white cars than red cars the garage sells. … [1]

1 marks

Mark scheme: 4 27 1

This question in 0580/12 Feb/March 2022

1 Students at an activity centre choose one of four activities. The bar chart shows some of their choices. 8 7 6 5 Frequency 4 3 2 1 0 Climbing Hiking Swimming Woodcraft (a) 5 students choose hiking. Complete the bar chart. [1] (b) Write down the most popular activity. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) Correct bar height and width 1 1(b) Climbing 1 FT through their hiking bar

This question in 0580/11 May/June 2022

4 The stem-and-leaf diagram shows the journey time to school of some students. 1 3 5 7 9 9 2 3 4 5 3 0 3 4 6 7 4 2 4 5 8 Key: 1 3 represents 13 minutes Find (a) the number of students with a journey time of more than 35 minutes, … [1] (b) the mode. … min [1]

2 marks

Mark scheme: 4(a) 6 1 4(b) 19 1

This question in 0580/12 May/June 2022

13 The scatter diagram shows the number of visitors and the total amount spent, in thousands of dollars, at a zoo on each of eight days. 45 40 35 30 Total 25 amount spent 20 ($1000) 15 10 5 0150 200 250 300 350 400 450 500 550 600 Number of visitors (a) On one of the eight days there are 410 visitors. Find the total amount spent by visitors during this day. $ … [1] (b) Information for the ninth day is shown in the table. Number of visitors 175 Total amount spent ($1000) 9 Plot this information on the scatter diagram. [1] (c) Draw a line of best fit on the scatter diagram. [1] (d) On the tenth day the total amount spent is $22 000. Estimate the number of visitors on this day. … [1]

4 marks

Mark scheme: 13(a) 27 000 1 13(b) Point plotted at (175, 9) 1 13(c) Correct single ruled line of best fit 1 13(d) 300 to 350 1 FT their straight line of best fit provided positive gradient

This question in 0580/13 May/June 2022

7 The stem-and-leaf diagram shows the ages of 21 people. 1 6 9 2 1 4 4 5 8 3 2 6 7 9 4 0 2 4 6 8 9 5 3 4 5 7 Key : 1q6 represents 16 years (a) Find the fraction of people who are more than 30 years old. … [1] (b) Work out the range. … [1] (c) Find the median. … [1]

3 marks

Mark scheme: 7(a) 2 1 oe fraction 3 7(b) 41 1 7(c) 39 1

This question in 0580/13 May/June 2023

6 Jamie records the masses of two samples of oranges, type A and type B. The stem-and-leaf diagram shows the mass, in grams, of each of 30 oranges of type A. 17 6 8 8 9 18 0 1 2 2 4 7 19 1 2 2 3 6 7 8 20 0 2 5 5 5 6 7 7 8 21 1 5 6 8 Key: 17 6 represents 176 grams (a) Complete the table to show the range for type A oranges. Type A Type B Mean (g) 195.7 215.8 Range (g) 35 [1] (b) Use the information in the table to write down two comments comparing the masses of type A oranges with the masses of type B oranges. 1. … … 2. … … [2]

3 marks

Mark scheme: 6(a) 42 1 6(b) Type A [masses] lighter on average 2 B1 for each oe Type A [masses] more varied/less strict FT their range in part (a) consistent oe

This question in 0580/13 Oct/Nov 2023