1
1 mark
1 markThe graph shows the cost of a litre of petrol for the last six months of 2017.
Explain why this graph is misleading.
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Statistical Diagrams (OCR GCSE Maths)
Exam Questions
1 hour19 questions21 mark
1 markThis chart shows the types of dance performed by 12 dancers.
3 performed a street dance, 8 performed a jazz dance and 1 performed a tap dance.
Why is this diagram misleading?
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31 mark
1 markPercy sells paint in standard tins and large tins.
The standard tin covers 40m2 and the large tin covers 60m2.
Percy publishes this chart showing the area that can be covered with each tin of paint.
Explain why the chart is misleading.
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41 mark
1 markThe pie chart summarises information about the visitors to the tourist attraction on a single day.
Explain why the pie chart cannot be used to work out how many adults visited on that day.
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53 marks
3 marksThere are only apple trees, cherry trees, pear trees and plum trees in an orchard.
The pictogram shows information about the numbers of apple trees, cherry trees and
pear trees in the orchard.
There is a total of 30 trees in the orchard.
Complete the pictogram.
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12 marks
2 marksSean has drawn a time series graph to show the numbers, in thousands, of visitors to a fun park.
Write down two things that are wrong or could be misleading with this graph.
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2a1 mark
1 markThe time series graph shows information about the percentages of the people in a village that used the village shop for the years between 1980 and 2010.
Describe the trend in the percentage of the people in the village who used the shop for this period.
2b2 marks
2 marksi)
Use the graph to predict the percentage of the people in the village likely to use the shop in the year 2020.
[1]
ii)
Is your prediction reliable?
Explain your answer.
Explain your answer.
[1]
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33 marks
3 marksThe table gives some information about the birds Paula sees in her garden one day.
| Bird | Frequency |
| Magpie | 15 |
| Thrush | 10 |
| Startling | 20 |
| Sparrow | 27 |
Complete the accurate pie chart.
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4a1 mark
1 markThe graph shows the number of umbrellas sold in Ling’s shop for each quarter from quarter 1 of 2017 to quarter 3 of 2019.
The shop sold 32 umbrellas in quarter 4 of 2019.
Complete the graph.
4b1 mark
1 markMake one comment about the seasonal variation shown in this graph.
4c1 mark
1 markMake one comment about the annual variation shown in this graph.
4d1 mark
1 markLing predicts that she will sell 50 umbrellas in quarter 1 of 2020.
What assumption has she made?
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5a2 marks
2 marksThe table shows the average number of customers per day entering a shop.
| 2015 | 2016 | |||||||
| Months | Jan- Mar |
Apr- Jun |
July- Sep |
Oct- Dec |
Jan- Mar |
Apr- Jun |
July- Sep |
Oct- Dec |
| Average number of customers per day |
119 | 264 | 368 | 172 | 130 | 304 | 381 | 192 |
Complete the time series graph below.
5b2 marks
2 marksMake two different comments comparing the number of customers entering the shop in 2015 and 2016.
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6a2 marks
2 marksA music festival has taken place each year from 2011
The table shows the number of people who attended each year.
| Year | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 |
| Number of people | 350 | 583 | 906 | 1471 | 2023 | 2612 | 3251 | 3780 |
The festival organisers draw a time series graph to represent the data.
The first four years have been plotted.
Complete the graph.
6b2 marks
2 marksUse the graph to estimate the number of people who will attend the festival in 2019.
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73 marks
3 marksThe pie chart shows information about voters in an election.
3360 more women voted than men.
Work out the total number of voters.
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8a2 marks
2 marksThe time students spent watching TV was recorded.
The table shows the average daily time per student each year from 2012 to 2019
| Year | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
| Time (minutes) | 157 | 148 | 138 | 124 | 113 | 100 | 90 | 82 |
A time series graph is drawn to represent the data.
The first four points have been plotted.
Complete the graph.
8b1 mark
1 markUse the graph to estimate the average daily time per student in 2020
.......................................... minutes
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13 marks
3 marksThe pie charts give information about the ages, in years, of people living in two towns, Adley and Bridford.
The ratio of the number of people living in Adley to the number of people living in Bridford is given by the ratio of the areas of the pie charts.
What proportion of the total number of people living in these two towns live in Adley and are aged 0 -19?
Give your answer correct to 3 significant figures.
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26 marks
6 marks120 students in Year 10 and Year 11 sit a test.
- 61 of the students are in Year 10.
- 83 of the students are right-handed.
- 20 of the students in Year 11 are left-handed.
One of the students in Year 10 and one of the students in Year 11 are chosen at random.
Which one is more likely to be left-handed?
Show your working. You may use the table if you wish.
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33 marks
3 marksThe pie chart shows information about people at a theme park.
There were 450 more women than men.
Work out the number of children.
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4a2 marks
2 marksFran asks each of 40 students how many books they bought last year.
The chart below shows information about the number of books bought by each of the 40 students.
Work out the percentage of these students who bought 20 or more books.
...........%
4b1 mark
1 markShow that an estimate for the mean number of books bought is 9.5
You must show all your working.
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5a2 marks
2 marksThe table shows the number of computers sold in Tom’s shop each quarter from 2015 to 2017.
| 2015 | 2016 | 2017 | ||||||||||
| Quarter | 1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 |
| Number of computers sold |
13 | 31 | 29 | 45 | 20 | 32 | 25 | 47 | 27 | 40 | 30 | 58 |
Complete this graph using the information for 2017.
5b2 marks
2 marksTom adds the three results for quarter 1 and he adds the three results for quarter 4.
Tom says
The ratio of the total number of computers sold in quarter 1 compared to quarter 4 is 2 : 5.
Is he correct?
Show your reasoning.
5c2 marks
2 marksMake two comments about Tom’s sales over the period 2015 to 2017.
5d1 mark
1 markTom predicts that he will sell more than 60 computers in the 4th quarter of 2018.
What assumption has he made?
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6a3 marks
3 marksJohn wants to investigate whether men in the UK are better at estimating a time interval of 10 seconds than women in the UK. He decides to sample the population by asking his work colleagues to take the test.
The diagrams below summarise John’s results.
What information from the diagrams can be used to support each of these statements?
i)
The older John’s colleagues are, the lower their estimate is.
[1]
ii)
Males in the sample tend to underestimate the interval and females in the sample tend to overestimate the interval.
[2]
6b2 marks
2 marksComment on whether any conclusions can be drawn for the UK population from the results of this sample.
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