Statistical Diagrams (OCR GCSE Maths)

Sean 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.

The 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.

The table gives some information about the birds Paula sees in her garden one day.

Complete the accurate pie chart.

The 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.

Make one comment about the seasonal variation shown in this graph.

Make one comment about the annual variation shown in this graph.

Ling predicts that she will sell 50 umbrellas in quarter 1 of 2020.

What assumption has she made?

The table shows the average number of customers per day entering a shop.

Complete the time series graph below.

Make two different comments comparing the number of customers entering the shop in 2015 and 2016.

A music festival has taken place each year from 2011

The table shows the number of people who attended each year.

The festival organisers draw a time series graph to represent the data.
The first four years have been plotted.

Complete the graph.

Use the graph to estimate the number of people who will attend the festival in 2019.

The pie chart shows information about voters in an election.

3360 more women voted than men.

Work out the total number of voters.

The time students spent watching TV was recorded.

The table shows the average daily time per student each year from 2012 to 2019

A time series graph is drawn to represent the data.
The first four points have been plotted.

Complete the graph.

Use the graph to estimate the average daily time per student in 2020

.......................................... minutes

The 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.

120 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.

The pie chart shows information about people at a theme park.

There were 450 more women than men.

Work out the number of children.

Fran 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.

 ...........%

Show that an estimate for the mean number of books bought is 9.5
You must show all your working.

The table shows the number of computers sold in Tom’s shop each quarter from 2015 to 2017.

Complete this graph using the information for 2017.

Tom 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.

Make two comments about Tom’s sales over the period 2015 to 2017.

Tom predicts that he will sell more than 60 computers in the 4th quarter of 2018.

What assumption has he made?

John 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?

[1]

[2]

Comment on whether any conclusions can be drawn for the UK population from the results of this sample.