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2.1 Tally charts and frequency tablesKey wordsTally chartFrequency tableCumulative frequency
LinksCollecting Datawww.heinemann.co.uk/hotlinks (code 4554T)
ActiveTeach resourcesMS PowerPoint presentations: 2.1A Travel to school, and 2.1B Cumulative frequencyChapter 2 game
Follow upStudent Book sections 2.1–2.3 and Exercise 2AStudent Book sections 2.4–2.5 (with PowerPoint 2.1C), Exercise 2B and Worksheets 2.1B and 2.1CStudent Book section 2.6 and Exercise 2C
Extra practiceWorksheet 2.1A (answers on page 179)
Student BookSections 2.1–2.6
Main teachingShow the list of ‘travel to school’ data on slide 1 of PowerPoint 2.1A.
How many people travelled by bus? How easy was it to answer the question quickly?
Discuss why a simple list is inefficient.
How could you sort this ‘travel to school’ list into a more sensible and useable form? Establish that a tally would be useful and demonstrate constructing one using slide 2.
Discussion points
Why might you use a tally?
Why does the table include a frequency column?
Why might you be interested in the total frequency? (Number of students who took part)
As a class, complete the frequency table on slide 3 with each person’s mode of transport to school today.
Display slide 1 of PowerPoint 2.1B and work through the example with students, inviting them to calculate each cumulative frequency before revealing the answer.
Tell students they will be working in pairs to construct a data collection sheet to record numbers of brothers and sisters.
Collect data from the whole class with students using their own data collection sheets.
Students then complete a cumulative frequency table.
What information can the cumulative frequency table give which is not easily seen using the frequency table?
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StarterAsk each student how they travelled to school and record the data as a list on the board.
ObjectivesTally raw data using a standard tally chartConstruct frequency tables
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PowerPoint 2.1A
PowerPoint 2.1B
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PowerPoint 2.1C Two-way tablesThis PowerPoint presentation is on the ActiveTeach CD-ROM
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This list table below gives the ages of 24 children who attended auditions for a children’s TV show. 5 6 7 9 8 8 6 8 7 6 8 8 9 7 6 8 7 5 8 9 8 8 7 6Design and complete a frequency table for these data.
This list shows the results of a survey to find out the types of pets owned by some children.
1.
2.
Design and complete a frequency table for these data.Write down the name of the pet that was most popular.
The table shows the numbers of telephone calls received per hour by a call centre over a 24-hour period. 0, 1, 0, 1, 0, 3, 4, 12, 16, 32, 43, 31, 43, 38, 24, 22, 35, 37, 28, 24, 15, 6, 3, 1
Design and complete a grouped frequency table for these data. Use class intervals 0–9, 10–19 and so on.Add a cumulative frequency column to your table.Write down the number of hours when the centre received less than 10 calls.Write down the number of hours when the centre received more than 20 calls.
The judges at a gymnastics competition awarded the following scores to competitors.
a)b)
3.
a)
b)c)d)
4.
Draw and complete a grouped frequency table for these data. Use class intervals <3, 3–3.4, 3.5–3.9, 4–4.4 and so on.
Add a cumulative frequency column to your table.Write down the number of competitors who scored more than 4.4.
a)
b)c)
Worksheet 2.1ATally charts andfrequency tables
Student Book sections 2.1–2.3
cat cat dog dog dog fish fish horsebird cat dog dog fish fish fish rabbitbird bird cat dog dog dog fish rabbitbird cat cat dog fish horse rabbit rabbitbird cat dog dog dog fish fish horse
5.1 3.2 4.5 5.2 2.6 2.7 3.5 2.4 4.8 2.55.6 4.5 4.6 3.6 3.8 2.7 3.4 3.7 3.6 4.1
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Thirty junior members of a sports club school were asked to choose an event in which to compete in a competition.
1.
Copy and complete the two-way table to show how many girls and boys took part in each event.Write down the number of girls who ran in the 100 m race.
Fifty people were asked whether they preferred comedy, soaps or sport on television.
a)
b)
2.
Copy and complete the table to show the men’s and the women’s preferences.Write down the total number of people who preferred sport.Work out how many more women were asked their preferences than men.
The table shows the distribution of some businesses operating in three towns.
a)b)c)
3.
Copy and complete the table. Write down the number of health stores in Town C.Write down the total number of beauty therapists.Work out how many more hairdressers there are in Town C than in Town A.
a)b)c)d)
Worksheet 2.1B
Two-way tables
Student Book sections 2.4–2.5
100 m High jump TotalBoys 11 4Girls 6
Total
Men Women TotalComedy 2 7Soaps 15Sport 15 10
Total 50
Hairdressers Beauty therapists Health stores TotalTown A 5 1 21Town B 25 2Town C 32
Total 62 7 88
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The price of renting a holiday home is dependent upon the type of property and the start date of the rental. The prices per week (in pounds) for properties in one holiday resort are shown below. A booking fee of £24.60 is added to the price of each holiday.
1.
Between which dates can the cheapest holidays be found?Give a reason why holidays may be cheaper at this time.Write down the least amount I could pay for a holiday from this company.Between which dates are the most expensive holidays found? Give a reason that holidays may be more expensive at this time.Write down the type of property that is the most expensive.What would I pay for a week in property type C beginning on 12th October?Work out the difference in price between property type B and property type E on 21st December.
The table shows the times of trains and fares from London to Birmingham.
a)b)c)d)e)f)g)h)
2.
Write down the cost, the ticket type and the train for the cheapest travel from London to Birmingham.I need to be in Birmingham at 5.30 pm. Which is the latest train I can catch?Work out the difference in price between an Any time First class ticket and an Advance Standard ticket for the 15 43 train from London to Birmingham.
a)
b)c)
Worksheet 2.1C
Reading tables
Student Book sections 2.4–2.5
Type of propertyRental start date A B C D E
2 Oct–8 Oct 181 184 188 200 3299 Oct– 15 Oct 181 184 188 198 359
16 Oct– 29 Oct 211 213 217 256 35930 Oct–17 Dec 169 171 175 185 29218 Dec–24 Dec 324 334 357 359 60225 Dec–31 Dec 324 337 369 372 602
1 Jan–4 Feb 165 171 175 185 287
Time London to BirminghamDep Arr Ticket Standard First class
15 23 16 45Advance £9.50 £44.00Any time £66.00 £115.50
15 24 1812Off peak £42.40Any time £69.00
15 38 18 18Off peak £42.40Any time £69.00 £118.50
15 43 17 08Advance £39.50 £80.50Any time £66.00 £115.50
16 03 17 27Advance £39.50 £80.50Any time £66.00 £115.50
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2.7 Pictorial representationKey wordsPictogramKey
ResourcesSquared paper or graph paper
LinksCreating and interpreting pictograms www.heinemann.co.uk/hotlinks (code 4554T)
ActiveTeach resourcesMS PowerPoint presentation 2.7A Pictorial representationChapter 2 game
Follow upStudent Book sections 2.7–2.8 and Exercise 2DStudent Book sections 2.9–2.10 (with PowerPoint 2.7B Bar charts and line graphs), Exercise 2E and Worksheets 2.7B and 2.7C
Extra practiceWorksheet 2.7A (answers on page 179)
Student BookSections 2.7–2.10
Starter Display slide 1 of PowerPoint 2.7A. The picture shows different breakfast cereals but it does not convey information.How many packets of Choc Corn were sold? The picture doesn’t give us that information.
Main teachingThe pictogram on slide 2 shows information about the quantity of different boxes of cereal sold by a small shop.
How would you complete the pictogram to show 40 packets of Corn Crunch were sold?
Discussion points
Which was the most popular breakfast cereal?
How many packets of breakfast cereal were sold altogether?
What does 1 symbol represent?
Talk through the key points relating to pictograms on slide 3.
Tell students that they are going to construct pictograms for the travel to school data they collected in lesson 2.1. (If these data aren’t available carry out a quick survey to find out how each student in the class travelled to school this morning.)
Use slide 4 to discuss which symbols would be easy to divide up into different quantities. Then discuss what symbol they might choose and what one symbol will represent.
Students should construct their pictograms on squared or graph paper.
Remind them that
all symbols must be the same size
the spacing between symbols must be even
they must include a key.
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ObjectivesPresent data in a clear and interesting wayUse symbols to represent a number of items
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PowerPoint 2.7B Bar charts and vertical line graphsThis PowerPoint presentation is on the ActiveTeach CD-ROM
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The frequency table below shows the number of tins of each type of soup sold by a corner shop in one week.
1.
Draw a pictogram to display this information. Tip: Use a rectangle for the picture.Remember to include a key.
All members of an athletics club took part in a survey to find which sports they take part in.The pictogram shows the results of the survey.
2.
Write down the sport that was the most popular.Write down the sport that was the least popular.Work out the number of people who took part in running (track).Work out how many people took part in the survey.
a)b)c)d)
Worksheet 2.7A
Pictograms
Student Book sections 2.7–2.8
Flavour Number of tinsChicken 65Tomato 50Vegetable 45Mushroom 20Minestrone 30Beef 35
Jumping
Throwing
Running (track)
Running (long distance)
Mixed (decathlon etc.)
Key 5 members
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A transport authority conducted a survey of 50 cars in a town centre. The number of occupants of each car was recorded. The results are shown in the frequency table.
1.
Draw a bar chart to show this information.
The bar chart shows the scores obtained when a six-sided dice was rolled.2.
Worksheet 2.7B
Bar charts
Student Book section 2.9
Number of occupants Frequency1 242 173 54 25 1
More than 5 1
Write down the number that was rolled most frequently.Write down the number that was rolled least frequently.Work out how many times the dice was rolled.Write down whether or not you think this was a fair dice.
a)b)c)d)
Number on dice1 2 3 4 5 6
Freq
uenc
y
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10121416
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The vertical line graph shows the number of certain animals in the Kids’ Zone at a small zoo.
1.
Write down the number of rabbits in the Kids’ Zone.Write down the most common animal in the Kids’ Zone.There are 2 donkeys. Copy and complete the graph to show the donkeys.Work out how many animals there are altogether.
The table shows the number of students studying diploma courses at a sixth form college.
a)b)c)d)
2.
Worksheet 2.7C
Vertical line graphs
Student Book section 2.10
Show this information on a vertical line graph.
Diploma Number of studentsEngineering 41Health and social care 43Hair and beauty 56Creative and media 72Information technology 65Construction 37
Rabbits Hamsters Goats Lambs Chickens Donkeys
Freq
uenc
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0
1
2
3
4
5
6
7
8
9
10
11
12
13
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2.11 Stem and leaf diagramsKey wordsStem and leaf diagramKey
ResourcesCoins in students’ pockets
LinksStem and leaf diagram examples www.heinemann.co.uk/hotlinks (code 4554T)
ActiveTeach resourcesMS PowerPoint presentation 2.11A Stem and leaf diagramsChapter 2 game
Follow upStudent Book section 2.12 (with PowerPoint 2.11B), Exercise 2G and Worksheet 2.11BStudent Book section 2.13 and Worksheet 2.11CStudent Book section 2.14 (with PowerPoint 2.11C) and Worksheet 2.11D
Extra practiceWorksheet 2.11A (answers on page 180)
Student BookSections 2.11–2.14
StarterWho has dates in their pockets? Ask students to take any coins out of their pockets and look carefully for the date on each one.Each student should count the total number of coins they have. The dates will be needed later.
Main teachingDisplay the data on slide 1 of PowerPoint 2.11A, which shows the numbers of coins that students in a class had in their pockets.
Explain to students that a stem and leaf diagram is one way of arranging and displaying these data.
Work through the stages of slide 1, which shows how to construct a stem and leaf diagram. Stress the need for a key.
Once the stem and leaf diagram is complete, check the students’ understanding of the diagram.
What was the smallest number of coins?
What was the largest?
What is the advantage of a stem and leaf diagram?
Discuss the advantage of a stem and leaf diagram. (It allows you to see the value of each individual piece of data over bar charts or vertical line graphs, which only give the shape of the distribution.)
How does a stem and leaf diagram show the shape of the distribution?
Ask approximately 12 students to write the number of coins in their pocket on the board. Work together as a class to create a stem and leaf diagram for these data on slide 2.
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PowerPoint 2.11B Pie charts
PowerPoint 2.11C Cumulative step polygons
These PowerPoint presentations are on the ActiveTeach CD-ROM
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During an experiment a boy measured the height (to the nearest centimetre) of some plants after 30 days’ growth.His results are shown below.
15 23 25 34 37 45 59 36 19 22 36 35 31 24 41 37 24 23 36 35 18 26 0 47 38 31 32
Draw an ordered stem and leaf diagram for these data.Write down the most common height for the plants.Should the plant that measured 0 cm be included? Give a reason for your answer.Write down the height of the tallest plant measured.
A salesman recorded the distances, in miles, he travelled from London to the places he visited in June on the stem and leaf diagram below.
1.
a)b)c)d)
2.
Work out the number of places he visited altogether.The furthest place he visited was Inverness.
Write down how far this is from London.The shortest distance he travelled was to Rochester.
Write down how far this is from London.On every journey he has to go there and back again.
Work out the range of distances travelled.Work out the total distance travelled during June.
a)
b)
c)
d)e)
Worksheet 2.11A
Stem and leaf diagrams
Student Book section 2.11
0 27 66 971 28 51 74 84 91 932 04 26 653 05 974 825 17 60 Key 1 28 means 128 miles from London
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A local authority has produced a pie chart to show where the money in its budget comes from.
1.
Where does the largest proportion of the money come from?What angle represents the money that comes from Council Tax?What angle represents the money that comes from Sale of Goods and Services?
The council raised £120 million from Council Tax.Work out how much it raised altogether.
The way the council spends the money received on services is shown in the table.
a)b)c)
d)
2.
Work out how much money is spent altogether.A pie chart is to be drawn to show how the money is spent.
Work out the angle that would represent administration. Show your working.Draw the pie chart to show how the money is spent.
a)
b)c)
Worksheet 2.11B
Pie charts
Student Book section 2.12
Government Grants
Sales of Goods and Services
Council Tax
Business Rates
Housing Rents
Where the money comes from
Services on which money is spent £ millionAdministration 60Housing 75Children and Education 210Roads 45Adult Social Care 90
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Write down two advantages of using a bar chart to display data.
Write down two advantages of using a stem and leaf diagram to display data.
Write down one disadvantage of using a pie chart to display data.
James collects some data. He records the number of siblings each member of his class has. He decides to use a pie chart to display the data. This is not the best choice.Write down the name of a better diagram to use and give a reason for your choice.
A company is producing different diagrams to display data for different clients. bar chart vertical line graph pictogram pie chart stem and
leaf diagramFor each set of data below choose which diagram listed above would be the best choice to display the data. Give a reason for your answer.
The amount of rain that fell daily during August in a holiday resort.Which animals could be seen in a zoo.The marks scored by individual competitors in a gymnastics competition.The different types of rubbish which are recycled by a local authority.The cost of staying in hotels in different cities.The different kinds of fish caught in a trawler’s nets.The daily hours of sunshine in a town.The approximate attendance at 5 football matches. The proportion of different crops grown on a farm.
1.
2.
3.
4.
5.
a)b)c)d)e)f)g)h)i)
Worksheet 2.11CAdvantages anddisadvantages of diagrams
Student Book section 2.13
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Copy and complete the following cumulative frequency table.1.
The frequency table gives the numbers of goals scored by football teams one weekend.2.
Copy and complete the cumulative frequency table for these data.Write down how many teams took part altogether.Draw a cumulative frequency step polygon for these data.How many teams scored fewer than 2 goals?
The frequency table gives the cost and number of second class packages sent from a post office on one day.
a)b)c)d)
3.
Copy and complete the cumulative frequency table for these data.Write down the total number of packages sent.Draw a cumulative frequency step polygon for these data.How many packages cost less than 163p to send?How many packages cost less than 249p to send?
a)b)c)d)e)
Worksheet 2.11DCumulative frequencystep polygons
Student Book section 2.14
Matches played 1 2 3 4 5Frequency 10 12 16 11 9
Cumulative frequency
Goals Frequency Cumulative frequency0 91 62 43 34 15 1
Stamps Frequency Cumulative frequency95p 34
124p 26163p 18208p 12249p 10
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2.15 Making comparisonsKey wordsComparisonMultiple bar chartComposite bar chartComparative pie charts
Links2.9 Bar charts2.12 Pie charts
ActiveTeach resourcesMS PowerPoint presentation 2.15A Making comparisonsChapter 2 game
Follow upStudent Book section 2.15 (with PowerPoint 2.15B), Exercise 2H and Worksheets 2.15A and 2.15BStudent Book section 2.16 (with PowerPoint 2.15C), Exercise 2I and Worksheet 2.15C (Higher)
Extra practiceWorksheet 2.15A (answers on page 181)
Student BookSections 2.15–2.16
Starter Explain to students that a recent survey found that girls spent about £13 a week and boys £11. How much do you spend and what do you spend it on?Tell them that they will be finding out how to make a comparison such as what girls spend their money on compared with what boys spend their money on. Ask students to suggest some things they buy.
Main teachingShow the results of the survey on slide 1 of PowerPoint 2.15A.
How could we present these data? Take suggestions from the students and pick up on a bar chart being suggested.
Move on to slide 2 to reveal a bar chart showing the girls’ data.
Then display slide 3, which shows the boys’ data.
How easy is it to compare the data in these two bar charts? What would make it easier?
Reveal the bar charts side by side on slide 4.
Does this make it easier to make comparisons? Could it be improved more?
Move further through slide 4 to display the two bar charts superimposed and then move onto the enlarged version on slide 5.
Discussion points
How do boys compare with girls in the way they spend money?
How does your spending compare with these figures?
Different comparisons are best shown in different ways.
Explain to students that they will be finding out more about comparing data using multiple and composite bar charts, and comparative pie charts (Higher).
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PowerPoint 2.15B Using bar charts to make comparisons
PowerPoint 2.15C Using pie charts to make comparisons
These PowerPoint presentations are on the ActiveTeach CD-ROM
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A company kept records of employee absence over a two-week period during which there was a flu epidemic.Staff are employed in either production or sales.The data collected are shown in the multiple bar chart.
1.
On which day was the highest recorded number of people absent in sales?Write down the total number of person days lost due to absence in sales.Which office recorded the highest number of absentees over the two-week period?Which was affected by the flu epidemic first, sales or production?On how many days were there more people absent from sales than from production?Between which two days was the greatest increase in absence for sales?Between which two days was the greatest increase in absence for production?On which days were there more than 10 people absent for both sales and production?
a)b)c)d)e)
f)g)h)
Worksheet 2.15AUsing multiple bar chartsto make comparisons
Student Book section 2.15
Week 1Mon
Abs
ente
es
02468
10121416
Tue Wed Thu FriWeek 2
Mon Tue Wed Thu Fri
Sales
Production
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The composite bar chart displays data about the methods of waste disposal in three local authorities during one particular year. Authorities are expected to send as little as possible to landfill.
1.
Write down the name of the authority that sent the largest proportion of waste to landfill.Write down the name of the authority that is the best at recycling.Write down the name of the authority that sent the largest proportion of waste for compost.Work out an estimate for the proportion of waste Blackpool sent for landfill.
The table shows the number of medals won by the top 5 countries at the Beijing Olympic Games in 2008.Draw a composite bar chart to represent these data.
a)
b)c)
d)
2.
Worksheet 2.15BUsing composite bar chartsto make comparisons
Student Book section 2.15
Source: DEFRA Municiple Waste Management Statistics
Gold Silver BronzeUSA 36 38 36
China 51 21 28Russia 23 21 28
Great Britain 19 13 15Australia 14 15 17
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Landfill
Compost
Recycle
Birming
ham C
ity
Blackp
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Bourne
mouth
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The fish landed in the UK are divided into three categories. Demersal (cod, plaice etc), Pelagic (herrings, sardines etc) and shellfish. The table below shows the catch (1000 tonnes) for two British ports. Which type of fish was landed most at Port A?
1.
Explain why the pie charts are not the same size.81 boys took part in the activities.The radius of the pie chart for boys should be 2.6 cm and for girls it should be 2 cm.
Estimate the number of girls represented by this pie chart.Estimate the number boys who took part in cricket.
a)
b)c)
Which type of fish was landed most at Port A?Which type of fish was landed least in both ports?Draw comparative pie charts to display these data. Use a circle radius of 3 cm for Port A.
The pie charts show the summer sports chosen by teenagers on a summer activity programme.
a)b)c)
2.
Worksheet 2.15CHigher Using comparativepie charts to make comparisons
Student Book section 2.16
Demersal Pelagic ShellfishPort A 14 28 12Port B 43 72 5
Cricket
Tennis Cricket
Golf
Tennis
Athletics
AthleticsGolf
Boys Girls
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Quick Test 2A
Which diagram can be used to process raw data making it easier to spot patterns?
Name two types of diagram that you can use to show how data are divided into categories.
The lowest mark in the class is 2% the highest is 98% and the rest of the marks lie between these values. Suggest a suitable method of grouping the data in order to draw a frequency table.
The table shows the number of boys and girls in Years 10 and 11 at a school.
1.
2.
3.
4.
Copy and complete the table.
A toy shop sells 23 games on Monday, 15 on Tuesday, 6 on Wednesday, 32 on Thursday and 24 on Friday.Draw a vertical line graph to show this information.
5.
The pie chart shows the relative sizes of rooms in a one-bedroom flat.
Which is the largest room?Which room is half as big as the kitchen?
6.
a)b)
Year 10 Year 11 TotalBoys 56 104Girls 63 54 117
Total 119 221
KitchenHall
Living room
Bedroom
Bathroom
Mon Tue Wed Thu Fri
10
20
30
40
0
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Which statistical diagram allows you to show the distribution but keeps the detail of the individual items of data?
The multiple bar chart shows the results of four students who have taken two tests.
1.
2.
Which student showed the most improvement in the second test?Which student had the poorest result for both tests?Copy the chart and add the results for Chas who achieved 63 on the first test and 72 on the second.
a)b)c)
The composite bar chart shows the numbers of staff employed by a company in 2007 and 2008.
Estimate the total number of people employed by the company in 2007.Suggest a reason why the number of manual workers has decreased while the number of clerical workers has increased.
3.
a)
b)
A pie chart is drawn to show the comparative profits of different branches of the same company.Branch A made 20% of the total profit.What angle should represent Branch A on the pie chart?
The area of farm A is 4 times as big as the area of farm B.The land use on the farms is to be compared using comparative pie charts.The radius of the pie chart for A is 6 cm.Work out the radius for farm B.
4.
5.
Quick Test 2BHigher
0
10
20
30
40
50
60
70
80
90
Perc
enta
ge m
arks
Jane Ali Elsa Ivan
Test 2
Test 1
02007 2008
5
10
15
20
25
30
35
40
45
Manual
Clerical
Management
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The Chapter Test is available in two formats: as it appears here and exam-style write-on format on the CD-ROM in the back of this Teacher Guide.
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The table shows the number of lessons people required before passing their driving test.
1.
Copy and complete the frequency table to show the number of lessons required to pass the test.
a)
Write down the most common class.Draw a bar chart for these data.
(8)
The table shows the number of free range eggs sold by a small poultry farmer in the first six months of a year.
b)c)
2.
Choose a sensible scale and draw a pictogram to display these data. Use an ellipse as the picture.
(4)
A survey asked how many DVDs were owned by a group of people.The data collected are shown in the stem and leaf diagram.
3.
Write down the number of people involved in the survey.Write down the least number of DVDs owned.Write down the most number of DVDs owned.Write down the number that occurred most often.
(4)
a)b)c)d)
Chapter 2 TestFoundation
17 18 7 19 10 9 10 17 17 1811 19 11 13 18 19 17 9 29 1223 10 27 11 19 17 12 20 15 14
Number of lessons Tally Frequency6–1011–1516–2021–2526–30
Month Number of eggs (dozens)January 8February 6
March 16April 12May 18June 20
0 2 4 71 3 4 8 8 92 2 2 2 6 7 8 93 3 4 54 2 Key 1 3 means 13
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A council employee carried out a survey of customer satisfaction with recycling facilities.The results are shown in the bar chart.
4.
Write down the number of people who think the recycling facilities are good.Write down the number of people who think the recycling facilities are poor.Work out how many more people think the facilities very good than very poor.Work out an estimate of the number of people who took part in the survey.
(5)
In Argentina 14% of the population are employed in Agriculture 29% are employed in Industry 57% are employed in Service Industries.In Romania 50% of the population are employed in Agriculture 31% are employed in Industry 19% are employed in Service Industries.
Draw a composite bar chart to represent these data.Give one advantage of using this type of diagram.
(4)Total 25
a)b)c)d)
5.
a)b)
Very po
orPoo
r
Satisfa
ctory
Good
Very go
od
10
20
30
40
50
60
0
Freq
uenc
y
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The Chapter Test is available in two formats: as it appears here and exam-style write-on format on the CD-ROM in the back of this Teacher Guide.
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a) Write down two advantages of using a stem and leaf diagram.A company recorded its sales of new phones each day. The data are displayed in the stem and leaf diagram.
1.
Write down the least number of phones sold.Write down the most phones sold.Work out how many days are represented on this stem and leaf diagram.Work out how many phones were sold altogether.
(8)
The table shows the number of TV sets in households in one street. 1 2 4 3 2 3 3 2 1 3 3 4 2 2 3 3 5 2 2 3
Design a cumulative frequency table for these data.Draw a cumulative frequency step polygon for these data.
(6)
The table shows information about train times for trains from Birmingham to Preston.
b)c)d)e)
2.
a)b)
3.
Write down the time the 05 30 from Birmingham gets into Crewe.Write down the time the 07 34 from Stafford gets into Preston.Work out which of the three trains does the journey from Birmingham to Preston in the least time.There is a gap in the timetable. Explain what this means.Work out how long the 05 30 takes to get from Birmingham to Stafford.Work out how long the 07 03 takes to get from Crewe to Preston.
(8)
a)b)c)
d)e)f)
Chapter 2 TestHigher
0 8 91 4 5 6 92 3 5 7 7 7 73 2 4 5 64 1 2 Key 1 4 means 14 phones sold
Birmingham 05 30 07 03 08 03Wolverhampton 05 49 07 21 08 21Stafford 06 05 07 34Crewe 06 26 07 56 08 56Warrington 06 45 08 13 09 13Wigan 07 04 08 24 09 24Preston 07 17 08 41 09 38
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A careers convention was held in a large hotel.The 300 people attending were teachers, employers and students.96 students attended the convention. Of these, 43 travelled by train, 26 by bus and the rest travelled by car.Out of the 140 people who travelled by train, 40 were employers.72 people arrived in cars, of which 24 were teachers.Only 12 employers travelled by bus.
Draw a table to show this information.Which form of transport was most popular with teachers?
(5)
The pie chart shows the expenditure for a small company with an annual budget of £900 for office supplies.
4.
a)b)
5.
Estimate how much was spent on stationery.Estimate how much was spent on postage.
They drew this pie chart with a radius of 3 cm.The following year the company expands and the budget for office supplies is increased to £1600.
What radius of pie chart should be used to display the new budget?(5)
Total 32
a)b)
c)
OtherStationery
Postage
Photocopying
Telephone
