Maths Level 1 - Cwilsonsite
EDEXCEL FUNCTIONAL SKILLS PILOTMaths Level 1Chapter 6Working with data and averagesSECTION IWorking with data1 Collecting, recording and representing informationSECTION JDraft for Pilot952 Interpreting data from tables and tally charts1013 Interpreting bar charts and pie charts1034 Interpreting pictograms and line graphs1065 Remember what you have learned109Working with mean and range1 Understanding mean1122 Understanding range1163 Remember what you have learned117Functional Maths Level 1 Chapter 6 Pearson Education 2008
EDEXCEL FUNCTIONAL SKILLS PILOTMaths Level 1Carol RobertsDraft for pilot centresChapter 1: Working with Whole NumbersChapter 2: Working with Fractions, Decimals &PercentagesChapter 3: Working with Ratio, Proportion, Formulaeand EquationsChapter 4: Working with MeasuresChapter 5: Working with Shape & SpaceChapter 6: Working with Data and AveragesChapter 7: Working with ProbabilityChapter 8: Test preparation & progress trackHow to use the Functional mathematics materialsThe skills pages enable learners to develop the skillsthat are outlined in the QCA Functional Skills Standardsfor mathematics. Within each section, the units provideboth a summary of key learning points in the Learn theskill text, and the opportunity for learners to developskills using the Try the skill activities. The Rememberwhat you have learned units at the end of each sectionenable learners to consolidate their grasp of the skillscovered within the section.All Functional Skills standards are covered in a clear anddirect way using engaging accompanying texts, whileat the same time familiarising learners with the kindsof approaches and questions that reflect the EdexcelFunctional Skills SAMs (see http://developments.edexcel.org.uk/fs/ under ‘assessment’).The Teacher’s Notes suggest one-to-one, small-group andwhole-group activities to facilitate learning of the skills,with the aim of engaging all the learners in the learningprocess through discussion and social interaction.Common misconceptions for each unit are addressed,with suggestions for how these can be overcome.One important aspect of Functional mathematicsteaching is to ensure that learners develop the necessaryprocess skills of representing, analysing and interpreting.At Level 1, learners should select the methods andDraft for Pilotprocedures and adopt an organised approach to the task.The teacher may provide guidance, but learners shouldmake their own decisions about finding the solutions tothe task.The inclusion of Apply the skills in the Teacher’s Notesfor each section, aims to provide real-life scenariosto encourage application of the skills that have beenpractised. To make the most of them, talk through howthe tasks require the use of the skills developed withinthe section. The tasks can be undertaken as small-groupactivities so that the findings from each group can becompared and discussed in a whole-group activity. Thescenarios can be extended and developed accordingto the abilities and needs of the learners. As part ofthe discussion, learners should identify other real-lifesituations where the skills may be useful.Published by Pearson Education, Edinburgh Gate,Harlow CM20 2JE Pearson Education 2008This material may be used only within the Edexcel pilotcentre that has retrieved it. It may be desk printedand/or photocopied for use by learners within thatinstitution. All rights are otherwise reserved and nopart of this publication may be reproduced, stored in aretrieval system, or transmitted in any form or by anymeans, electronic, mechanic, photocopying, recording orotherwise without either the prior written permission ofthe Publishers or a licence permitting restricted copyingin the United Kingdom issued by the Copyright LicensingAgency Ltd, Saffron House, 6–10 Kirby Street, LondonEC1N 8TS.First published 2008.Typeset by Oxford Designers & Illustrators, OxfordFunctional Maths Level 1 Chapter 6 Pearson Education 2008
I Working with dataYou should already know: how to present data in simple tables, bar charts, pie charts andpictograms and include appropriate information how to interpret bar charts and pictogramswhat tally marks mean and how to use them.By the end of this section you will know how to:collect and organise information using tally chartsrepresent information using pictograms, bar charts and line graphsinterpret data in more complex tables, charts and graphs1 Collecting, recording andrepresenting informationCollecting and recording data usingtally chartsLearn the skillOne way of recording information collected from conducting asurvey is to use a tally chart.Example 1: A market researcher collects informationon what brand of butter consumers prefer. She asks 20customers and records the information on a tally chart.Brand of butterAlmost like butterCountry ButterGolden ButterButtery spreadButter churn Pearson Education 2008Tally//////////// ///////FrequencyRememberTally marks are arranged ingroups of five.Functional Maths Level 1 Chapter 6 page 95Draft for Pilot
The responses from a further 10 customers are recorded below:Buttery spreadButtery churnCountry ButterAlmost like butterCountry ButterCountry ButterButter churnGolden butterButtery spreadButtery spreadComplete the tally chart to show all 30 responses.A tally mark is put into the table whenever a customer says theylike a particular brand of butter. When there are four tally marksin a group together, the fifth tally mark is then drawn across thegroup of four to make a group of five.Brand of butterAlmost like butterCountry ButterGolden ButterButtery spreadButter churnTally//////// /////// //// //////Frequency562125RememberTally marks are arranged ingroups of five because they areeasier to count.Try the skill1. A librarian keeps a tally of the numbers of different typesof books borrowed in one /// //// //// //////// ////////// //// //////a How many fiction books were borrowed during themorning?b How many art and literature books were borrowed intotal?c How many more travel books were borrowed than sciencebooks?2. A questionnaire was designed to find out more aboutpeoples’ television viewing habits. One of the questions onthe questionnaire is as follows:Tick which type of television programme you like most:comedyDraft for Pilotsoap operadocumentarylight entertainmentFunctional Maths Level 1 Chapter 6 page 96dramasport Pearson Education 2008
Working with data6The responses to this question are listed below:Comedy, soap opera, comedy, sport, drama, comedy, sport,light entertainment, drama, comedy, sport, sport, sport,drama, drama, sport, comedy, soap opera, drama, documentary,comedy, sport, comedy, sport, drama, sport, sport, comedy,sport, dramaOrganise this information into a tally chart, showing tallymarks and fequencies for each type of television programme.Type of programmeTally marksFrequencyPictogramsWhen drawing a pictogram, choose a symbol to represent afixed number of the items you are representing. Make sure thesymbol is easy to draw.Example 1: An estate agent sells 50 houses in September,30 in October, 40 in November and 15 in December. Draw apictogram to represent this information.Use a simple house symbol which is easy to copy, like thisone . As the frequencies are mostly in multiples of 10, it issensible to let 1 house symbol represent 10 house sales.TipAsrepresents 10 housessales, then represents5 house sales.Make sure the pictogram includes a title and a key showingwhat each symbol represents. Make sure also that you line upthe symbols when you draw them (drawing the pictogram on1 cm2 squared paper will help with this).Number of houses sold from September to DecemberSeptemberKey 10 house salesOctoberNovemberDecember Pearson Education 2008Functional Maths Level 1 Chapter 6 page 97Draft for Pilot
Bar chartsA bar chart can have vertical or horizontal bars.When drawing bar charts, make sure you: draw bars with an equal width leave a fixed gap in between the bars use a ruler and a sharp pencil, and draw the bar chart onsquared or graph paper choose a scale which is easy to read give the bar chart a title and label both axes.Example 2: Draw a bar chart to represent the number ofparcels posted at a local post office in one week.Choosing the scale: letting each 1 square centimetrerepresent 5 parcels makes it easy to read the numberof parcels. Letting squares represent 2, 5, 10, 20, 50or multiples of 100 is recommended.Number of parcels posted in one week at post officeTitleNumber of parcels posted30252015The bars all havean equal is labelsLine graphsTo draw a line graph, you need a set of points (calledco-ordinates).Remember to: label both axes give the line graph a title choose a scale which is easy to read.Draft for PilotFunctional Maths Level 1 Chapter 6 page 98 Pearson Education 2008
Working with data6Example 3: Alan is designing a rectangular pond for hisgarden. He works out how many square paving stones heneeds to buy for ponds with different lengths.The table shows the number of paving stones needed for pondswith different size lengths.18Pond length (m)Number of paving stones210312414516Pond length 2mDraw a line graph to represent this information, with pondlength on the horizontal axis.The horizontal axis ends at 5. You may decide to choose thescale: 1 square represents 1 m.The vertical axis data goes up in 2s and ends at 16. You maydecide here to choose the scale: 1 square represents 2 pavingstones.Pond length 1 m has 8 paving stones: 1 and 8 form aco-ordinate on the graph.Start from 0 on the horizontal axis, move 1 position across and8 positions up. Plot a point.Continue in this way with the other co-ordinates. Join thepoints up to form a straight line.Number of paving stones fordifferent pond sizes18Number of paving stones needed16141210864200123456Pond length in metres Pearson Education 2008Functional Maths Level 1 Chapter 6 page 99Draft for Pilot
Try the skill1. A doctor keeps a record of the numbers of different patientillnesses at a surgery in one day.IllnessFlu Infection Headache Virus Other52917Number of 23 14patientsOn squared paper, draw a bar chart to represent thisinformation.2. A newsagent records the number of different newspapershe sells on Sunday.Newspaper Sunday The Moon The Daily The StarPlanetBestOn Sunday2430814NumbersoldDraw a pictogram to represent this information.3. Georgia is training for a marathon. She notes down how farshe has run after every 10 minutes:Time (minutes)Distance (miles)100.75201.5302.25403a On squared paper, draw a line graph to show thedistance Georgia ran in miles against the time inminutes. Use the horizontal axis to represent the time.Challenge question!b Use your line graph to estimate how far Georgia runs in1 hour.Draft for PilotFunctional Maths Level 1 Chapter 6 page 100 Pearson Education 2008
Working with data62 Interpreting data from tablesand tally chartsLearn the skillYou need to be able to read the information in a table in orderto solve a problem.Example 1: The tableshows the cost of atwo-week skiing trip indifferent countries.What is the cost of atwo-week skiing trip toItaly on half-board?Country SC 245AustriaBulgaria 202 149France 199Italy 259NorwayBB 205 302 258 214–HB8 189 2535 1494 209 413TipUse a ruler or piece of paperwith a straight edge to readacross the row correctly.Key: SC self-catering; BB bed and breakfast; HB half-boardFirst, use the key to find out how half-board is shown in thetable: in this case it is shown by HB, so you only need to lookat the data in this column.Now find Italy and read across this row to find the HB value.Answer: 209When you collect information, you need a way to record andorganise it.Tally marks are easy to use and quick to count.Example 2: Three traffic surveyors record the number ofvehicles entering a danger zone in 10 minutes. How manymore vehicles did Surveyor C record than Surveyor A?Surveyor ASurveyor BSurveyor C//// /////// ////// ////TipEach //// group of tallies counts as 5.So, Surveyor C recorded 10 and Surveyor A recorded 8.Answer: 2 vehiclesDraft for PilotFunctional Maths Level 1 Chapter 6 page 101Groups of tallies are easy tocount because they are ingroups of 5. Pearson Education 2008
Try the skill1. Here is part of a catalogue featuring digital 4680/455680/456MegapixelsZoom3.54453 3 4 4 Price 69.75 79.75 99.99 109.25a What is the price of the camera that has fourmegapixels and a 4 zoom?b What is the catalogue number of the camera that has a3 zoom and has four megapixels?2. Llinos works at a spa treatment centre. As part of her job,she keeps a tally of the numbers of different types oftreatments clients have over one week. This table showsthe results:Treatmentmassageseaweed wrapfacialreflexologywaxingNumber taken each day//// //// //////// /////// //// //// //////////a How many more facials were there than waxingtreatments?b How many seaweed wraps and massages were there intotal?3. A couple going on a three-week holiday to Europe areplanning to buy holiday insurance. Use the table to answerthese questions:a How much will they pay for their insurance?b How much extra will the insurance cost them if theytake their young son?InsuranceEurope 1 week(up to 8 days)Europe 2 weeks(up to 15 days)Europe 1 yearWorldwide 1 week(up to 8 days)Draft for PilotAdult 15Couple 24Family 40 25 45 50 30 30 55 48 75 70Functional Maths Level 1 Chapter 6 page 102 Pearson Education 2008
Working with data63 Interpreting bar chartsand pie chartsLearn the skillA bar chart uses bars to show patterns in data.This bar chart shows the meals chosen in acanteen one lunchtime.Meals chosen at canteenThe bar chartshould havea title.60The numbers ofitems should beeasy to read.Number of meals5040302010The verticalaxis shouldhave a scaleand a label.0BakedpotatoesSausageand chipsCurryand riceSaladOtherMealsThe horizontal axisshould be labelledwith categories ofdata.a First, read the bar values for the two meals: baked potato(25) and salad (60). ‘How many more’ tells you to subtract:60 – 25 35Answer: 35 mealsb Read every bar value and add them all together:25 45 30 60 40 200Answer: 200 mealsPie charts show the proportions of different types of data.You use a pie chart to compare the sizes of the categories.The pie chartshould havea title.Daily newspaper deliveries for Crampton StreetPie charts do not showactual amounts unless theinformation is added.Key:There is a keyto explainthe differentsectors.TipDaily MailDaily ExpressThe SunThe GuardianIt is easy to compare thesizes of the categories.The Times Pearson Education 2008Functional Maths Level 1 Chapter 6 page 103Draft for Pilot
Example 2: The pie chart shows the daily newspaperdeliveries for Crampton Street.a Which is the least popular newspaper?b Which newspaper accounts for roughly half of the deliveries?a The least popular choice is shown by the smallest sector:blue. Use the key to work out which newspaper this is.Answer: The Timesb The green sector takes up almost half of the pie chart. Usethe key to find out which newspaper this is.Answer: The GuardianTry the skill1. A Saturday afternoon TV sports programme showed foursports. The bar chart shows the number of hours given toeach sport in the programme.a How long was the programme, in total?b Which sports were given the same viewing time?c How many more hours were given to football thancricket?Sports shown in a TV programmeNumber of hours210FootballRugbyCricketMotorracingSportDraft for PilotFunctional Maths Level 1 Chapter 6 page 104 Pearson Education 2008
Working with data2. The pie chart shows the weather in a UKcity for the month of February.6Weather in FebruaryKey:a Ring each statement that is true.RainSunshineCloudSnowA A quarter of the days were cloudy.B There were twice as many rainy daysas sunny.C A third of the days were sunny.b Which type of weather was roughlytwice as common as snow?3. A shopkeeper recorded how many items she sold each dayover a five-day period. She presented her sale figures onthis bar chart. What is missing from the bar chart?50Number of items ay Pearson Education 2008Functional Maths Level 1 Chapter 6 page 105Draft for Pilot
4 Interpreting pictograms andline graphsLearn the skillPictograms use pictures to show patterns in data.The pictogram shouldhave a title.Number of plasma TVs soldKey:The key showshow many itemsthe symbolrepresents.A simple symbol isused to represent anumber of items. 4 plasma TVsMonTueWedDayThuYou can quickly seethe number of eachitem by counting thenumber of symbols.FriExample 1: The pictogram above shows the numbers ofplasma TVs sold at a local store in one week. How manymore plasma TVs were sold on Friday than on Wednesday?First, read the key to find out how many TVs onerepresents: 4.Now work out how many TVs were sold on the two days.Wednesday (2 12 symbols): 2 12 4 4 4 2 10RememberFriday (4 symbols): 4 4 16Now subtract to find the difference: 16 – 10 6Answer: six plasma TVsA symbol in a pictogram canrepresent more than one item.Line graphs are used to convert between quantities and toshow changes over time.The line graph shouldhave a title.Conversion graph formiles and kilometresThe horizontaland vertical axesmust both belabelled withunits.Draft for Pilot8KilometresThe vertical axiscan represent anytype of value.64The graph shows howone quantity relatesto another.20012345MilesFunctional Maths Level 1 Chapter 6 page 106 Pearson Education 2008
Working with data6Example 2: The line graph above shows the relationshipbetween miles and kilometres. Two towns are three milesapart. How many kilometres is this?First, find 3 on the miles (horizontal) axis.Read straight up from this to the graph line.Then read straight across to the vertical axisto find the number of kilometres.Answer: 4.8 kmPractise the skill1. The pictogram shows the number of homesrented out in one month by a lettingagent.Number of homes letKey:a How many 3-bedroom homes were let thatmonth? 2 homesb How many more 2-bedroom homes were letthan 4-bedroom homes?1-bedroom2-bedroom3-bedroom4-bedroomType of home2. The line graph shows the temperature in anoven from two to seven minutes after it isswitched on.Oven temperature350a What is the temperature in the ovenafter 3 minutes?c How much does the temperatureincrease between four and six minutesafter the oven is switched on?Temperature ( C)b How long does it take the oven to reach150 C?300250200150100500234567Minutes Pearson Education 2008Functional Maths Level 1 Chapter 6 page 107Draft for Pilot
3. The pictogram shows the number of mobile phones sold ata shop over three weekends. What is missing from thepictogram?Number of mobile phones soldWeekend 1Weekend 2PeriodWeekend 34. A holiday brochure shows the typical temperatures inSydney. What is missing from the graph?Mean daily maximum OctNovDecMonthsDraft for PilotFunctional Maths Level 1 Chapter 6 page 108 Pearson Education 2008
Working with data65 Remember what you have learnedFirst complete this Auses bars to show patterns in data.show the proportions of different typesof data.use pictures to show patterns in data.are used to convert between quantitiesand to show changes over time.Practise the skill1. A manager records the times deliveries are made to hisdepot. This chart shows the results.How many deliveries are made between 9:00 and 11:00?Number of lorries making deliveries30A15B40C50D70Number of lorries25201510507:00 –8:008:00 –9:009:00 –10:0010:00 –11:0011:00 –12:0012:00 –13:00Time Pearson Education 2008Functional Maths Level 1 Chapter 6 page 109Draft for Pilot
2. The chart shows the numbers of people who went on fourrides at a theme park one Thursday morning.What is missing from the chart?40AScale for the numberof peopleBTitleCLabels to show whatthe bars meanDLabel for the verticalaxis35Number of llercoasterRides3. The pictogram shows the numbers of calculators sold in oneday at an electronics shop.A9B15Numbers of calculators soldC17Key:D18How many Casio calculators were sold that day? 2 calculatorsTexasCasioSharpMake of calculator soldDraft for PilotFunctional Maths Level 1 Chapter 6 page 110 Pearson Education 2008
Working with data4. A nurse measures, records and plots a patient’s temperatureand draws this graph.What is missing from the graph?AA key for the chartBA label for thevertical axisCA label for thehorizontal axisDUnits for the verticalaxis6Patient’s temperature 016:0018:0020:00Time of dayHow much will2.5 metres ofwood cost?Price of wood per metrePrice of wood ( )5. A builder uses theline graph to findthe price of thewood according tothe number ofmetres a customerwants.1510 2.80B 5.60C 7.00D 8.40A0B6C7D1850012345Number of metres6. The manager of a day care centre keeps a tally chart of howmany people attend each day. Each session can take up to24 people.Number of people attending the day care centreMonTuesWedsThurFriAMorning session//// //// //// //// /////// //// //// /////// //// //// //// //////// //// /////// //// //// /Afternoon session//// //// //////// //// //// ////// //// ///// //////// ////How many more patients can the manager accept on aTuesday morning session? Pearson Education 2008Functional Maths Level 1 Chapter 6 page 111Draft for Pilot
J Working with meanand rangeYou should already know how to: add, subtract and divide numbers with up to two places of decimals.By the end of this section you will know how to:calculate the mean of up to ten items of datacalculate the range of up to ten items of data.1 Understanding meanCalculating the meanLearn the skillAn average is a single value that represents a set of numbers.The mean is one particular type of average.To calculate the mean:add up all the valuesdivide by the number of values.Example 1: Find the mean of these values: 2, 11, 8, 6, 3.First, add the values: 2 11 8 6 3 30Then divide the total by the number of values:30 5 6Answer: 6Example 2: Find the mean of these temperatures recordedat noon over five days.Monday Tuesday Wednesday Thursday Friday5 C3 C3 C0 C2 CAdd the values: 5 3 3 0 2 13Divide the total by the number of values:13 5 2.6Draft for PilotAnswer: 2.6 CFunctional Maths Level 1 Chapter 6 page 112 Pearson Education 2008
Working with data6Try the skill1. Find the mean of each of these sets of values.a 12, 4, 14, 3, 7b 5 cm, 4 cm, 0 cm, 2 cm, 2 cm,8 cm, 3 cm, 4 cm, 4 cm, 5 cmc 2.50, 1.24, 1.22, 1.602. To help her budget, Ayako made a record ofhow much she spent each week for four weeks.What is the mean amount she spent per week?3. The table below shows thenormal number of hours ofsunshine each day in theAlgarve for the months ofJanuary to September.Jan5Feb7Week 1 48Mar8Apr9Week 2 50May10Jun11Week 3 32Jul12Week 4 20Aug10Sep9What is the mean number of daily hours of sunshine for themonths shown?4. A parent researched the price of eight differentdrinks for children, four fizzy drinks and fourfruit juices. His aim was to compare the meanprice of fizzy drinks with fruit juices to seewhich was cheaper.a What is the mean price of fruit juice per300 ml?FruitjuiceABCDPrice per300 ml45p65p70p60pFizzydrinkABCDPrice per300 ml55p85p50p60pb What is the mean price of fizzy drink per 300 ml?c Which drink is more expensive, on average?5. A cosmetics company offers a bonus to the sales team withthe highest average weekly sales. Which team will win,based on the results of the first five weeks?Week 1 Week 2 Week 3 Week 4 Week 5Team Asales ( )Team Bsales ( )106712582164177522341578987243018552032 Pearson Education 2008Functional Maths Level 1 Chapter 6 page 113Draft for Pilot
The effect on the mean when a few numbersare very different to the majorityLearn the skillExample 1: A cafe manager employs 5 assistants. Here aretheir salaries. 9000, 10 000, 12 000, 12 000, 12, 000a What is their mean salary?b The manager has a salary of 26 000. What is the meansalary of all 6 employees?a 9 000 10 000 12 000 12 000 12 000 55 00055 000 5 11 000Answer: 11 000b 55 000 26 000 81 00081 000 6 13 500Answer: 13 500Note that the mean average of all 6 employees is 13 500, yetonly the manager earns over this amount.The manager’s salary is much higher than the salaries of theother employees. This increases the mean value to 13 500, yet5 employees earn less than this amount.TipIf 1 or 2 values are verydifferent to the others, themean value will not be closeto any of the actual values.Calculating the mean when the questiongives you the total valueLearn the skillTo find the mean you need to decide which number todivide by.Example 2: A gardener plants 40 bulbs in one hour. What isthe mean time taken to plant one bulb?To find the mean time taken to plant one bulb, divide the totaltime by the number of bulbs.60 40 1.5 minutesAnswer: 1.5 minutesExample 3: A taxi driver makes 50 journeys and drives atotal of 200 miles. What is the mean distance per journey?Total distance: 200 milesTo find the mean distance travelled per journey, divide thetotal distance by the number of journeys.200 50 4 milesDraft for PilotAnswer: 4 milesFunctional Maths Level 1 Chapter 6 page 114TipCheck to make sure youranswer is sensible. 1.5 minsfor 1 bulb means:3 mins for 2 bulbs30 mins for 20 bulbs60 mins for 40 bulbsTip‘What is the mean distance’indicates that you shoulddivide the total distance bythe number of journeys, notthe other way round. Pearson Education 2008
Working with data6Try the skill1. A man at the records office in Barnsley wants to know howmany people live in a street in Barnsley.House numberPeople1331527492112132152171191a What is the mean number of people in a house?The couple at no.15 has a daughter. Their daughter ismarried and has 5 children. Suppose their daughter, herhusband and the children move in with them, meaningthere are now 9 people living at number 15.b Now what is the mean number of people per house?c What if the couple’s 2 sons moved in too with theirwives? What is the mean number of people per housewhen there are 13 people living at no.15?d Is the answer to part c a reasonable estimate of thenumber of people in each house?e On the next street, there are 6 houses and the meannumber of people in each house is 3.Challenge question!How many people live on the street altogether?2. A worker in a call centre takes 30 calls in 15 minutes. Whatis the mean time she takes to answer each call?TipFind the total time and thendivide by the number of calls.3. A lorry makes 40 deliveries and travels a total of 400 miles.How many miles, on average, is each delivery?4. In the first round of a football competition, 20 teams scorea total of 50 goals. What is the average number of goalsscored by each team?5. A market stall holder works for 20 hours and makes 450 intotal. On average, how much does he make per hour? Pearson Education 2008TipTo find the average numberof goals, find the totalnumber of goals first (50)and then divide this by thenumber of teams (20).Functional Maths Level 1 Chapter 6 page 115Draft for Pilot
2 Understanding rangeLearn the skillThe range of a set of data tells you how widely the numbersare spread.The range the biggest value – the smallest value.Example 1: Find the range of these numbers:5, 7, 2, 8, 8, 6, 12, 3.The biggest value is: 12The smallest value is: 2Answer: 10The range is the difference: 12 – 2 10Example 2: The temperature outside a glasshouse wasrecorded daily at 9:00am over five days. The results aregiven in the table below. What is the range?Monday Tuesday Wednesday Thursday Friday4 C1 C0 C2 C2 CThe highest temperature is 4 C.The lowest temperature is 0 C.Answer: 4 ºCThe range is the difference: 4 – 0 4Try the skill!1. Find the range of each of these data sets.a 9, 13, 1, 8, 2, 3b 14 C, 0 C, 1 C, 15 C, 7 Cc 3.00, 1.20, 4.50, 6.30, 2.00, 9.102. The table shows how many cars a salesman sold each month,over a six-month period.April12May10June6July12August September68What is the range of the numbers of vehicles he has soldfrom April to September?Draft for PilotFunctional Maths Level 1 Chapter 6 page 116 Pearson Education 2008
Working with data63 Remember what you have learnedFirst complete this To calculate the mean:up all the valuesby the number of values.The range thevalue – thevalue.Practise the skill1. The temperature in a health clinic was measured andrecorded every day, at 9:00am, from Monday to Friday. Theresults are shown in the table.Mon19 CTues19 CWeds23 CThurs21 CFri28 CWhat was the mean daily temperature at 9:00am in theclinic over these five days?2. In five days an estate agent sold 25 houses.How many did she sell per day, on average?3. A dentist used this table to record the numbers of patientsseen in a week. Use the table to answer questions 3 and 4.Mon20Tues15Weds18Thurs16Fri15What is the range of the numbers of patients seen by thedentist?4. Use the data in question 3 to answer this question.Which calculation gives the mean number of patients seeneach day by the dentist over these five days?Draft for PilotFunctional Maths Level 1 Chapter 6 page 117A19 CB21 CC22 CD23 CA3B4C5D6A4B5C15D16A20 15 18 16 155B20 15 18 16 157C520 15 18 16 15D720 15 18 16 15 Pearson Education 2008
5. The table shows the amounts of money a man withdrew froma cash machine over five days.A 20B 50C 95What is the range of the amounts he withdrew over thisperiod?D 1006. A woman is training for a race. She records the numberof minutes she runs each day for one week, as shown inthe table.A40 minutesB41 minute
EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 1 Chapter 6 Working with data and averages SECTION I Working with data 1 Collecting, recording and representing information 95 2 Interpreting data from tables and tally charts 101 3 Interpreting bar charts and pie charts 103 4 Interpreting pictograms and
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