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Question 1

Felicity is investigating whether fruit flies in her laboratory react when a banana is put in front of them. Define her population.

Question 2

A group of scientists is researching population sizes of two populations of birds.

They go to a field and catch 52 pigeons, and 68 robins, tagging each caught bird.

A few days later they returns to the field and catches 84 pigeons, and 90 robins.

28 of the pigeons are tagged, compared to 40 of the robins.

Which species of birds has the largest population in the field?

Question 3

Give two words to describe the data.

Time taken in a marathon.

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2 of 40

Question 1

Give two disadvantages when using secondary data.

Question 2

‘How many times in the past 7 days have you visited a supermarket?��1-2 times��3 – 4 times

4 or more times’

�What is wrong with the above question?

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Question 3

An employer wants to take a sample of 80 of its employees proportional to the size of the department they work in. �What type of sampling is this?

The number of employees in each department is shown in the table below. Work out how many employees are needed from each department.

Dept	Marketing	Sales	Admin
Frequency	250	400	150

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Question 1

Use your calculator to work out the standard deviation of 2, 6, 7, 5, 4, 6.

Question 2

What does ‘random’ mean when taking a sample?

Question 3

A company wants to take a sample of 60 from its employees stratified by department.

Work out the number of employees form each department to include.

The company director wants to investigate whether pay is different between the sexes. Why is it appropriate to stratify by department?

Question 4

A distribution has the following characteristics:

IQR 16

Median 36

UQ 40

Show that 59 is not an outlier.

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Sales	Accounts	HR	Production
85	25	40	150

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Question 1

Freya wants to find out what girls and boys eat for lunch. She stands in the lunch area and asks 10 boys and 10 girls. What is the name of the sampling method Freya has used?

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5 of 40

	2015	2016	2017
Price of milk	62p	68p	75p

Work out the percentage increase in price from 2015 to 2016.

Give your answer as a decimal and percentage.

Work out the percentage increase in price from 2015 to 2017.

Give your answer as a decimal and percentage.

In 2018 the price of milk had risen by 14% from 2017. Work out the price of milk in 2018.

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Question 1

Question 2�Oliver wants to find out people in his towns opinion on a new park. He splits the town into 14 zones and decides to question people from 3 of the zones. What type of sampling is this?�Why could this method have bias?��

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Question 3

Vicky wants to find out if year 7 spend more money on their lunch cards than the rest of the school. Write a hypothesis she could use.

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Question 1

Question 2

The y axis on a histogram shows?

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Ben is researching the population size of birds in a field.

He goes to the field and catches 90 birds, tagging each one he catches.

A few days later he returns to the field and catches 65 birds.

13 of these birds are tagged.

Estimate the population size of the birds living the field.

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Question 1

Question 2

Comparative pie charts are drawn to show data about 4500 voters in 2017 compared to 6000 voters in 2019.

If a radius of 7cm is used for the 2017 pie chart, what length of radius would be used for 2019?

Question 3

Kiera is investigating whether boys are faster than girls in 100m sprint. She takes the first 10 boys and the first 10 girls times from the register. �Explain why this is not a fair sampling method. Write the name of the a better method to use.

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9 of 40

Question 2

What two things do you need to include when comparing box plots?

Question 3

How do you calculate class width?

How do you work out the frequency density?

Question 4

Use your calculator to work out an estimate for the mean from this table.

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10 of 40

Question 1

Describe how to take a random sample of 40 year 7 pupils. Include at least 3 steps.

Question 2

Give one advantage of an internet survey over a face to face survey.

Question 3

Kieran writes a questionnaire to find out how long people spend in the gym. What is wrong with his question?

‘How long do you spend in the gym?’

0-10 minutes

11-50 minutes

51-120 minutes

Over 120 minutes.

Question 4

Rachel is investigating whether males under 40 in the UK drink red bull. Define her population.

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11 of 40

Question 1

Give an example of discrete data.

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Question 2

Write a question with response boxes to find out how much time UK teenagers spend watching TV.

Question 3

What does IQR stand for?

Question 4

Tina wants to find out how many people in her office of 100 people like tea. She decides to take a random sample and uses a random number generator. Explain how she could use the following numbers to get a sample size of 10.

6582 4521 4415 8754 3325 6658 1549

6587 8065 9582 4410 6225 9510 7534

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Rachel stands outside her local shop and asks 15 men and 20 children what they think of the local area.

What type of sampling has she used?
Give a disadvantage of this type of sampling.
Explain why this type of sampling is not random.

Bob scored 45 on a test where the mean mark was 56 and the standard deviation was 7. Calculate his standardised score.

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Question 1

Describe how a gym could use its database to select a random sample of 100 people who go to the gym.

Question 2

Sketch the distribution of test scores if it is assumed to be normally distributed with a mean score of 25 and a standard deviation of 3.

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Question 4

James rolls a fair dice 7 times. What is the chance he rolls a 4 exactly 3 times? (binomial)

14 of 40

(d) In 1991 305,050 couples married and in 2005 278,793 married. Using a radius of 8cm for 1991, what radius would be used for 2005?

(2)

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Question 1

Give two disadvantages when using secondary data.

Question 2

‘How many times in the past 7 days have you visited a supermarket?��1-2 times��3 – 4 times

4 or more times’

�What is wrong with the above question?

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Question 3

An employer wants to take a sample of 80 of its employees proportional to the size of the department they work in. �What type of sampling is this?

The number of employees in each department is shown in the table below. Work out how many employees are needed from each department.

Dept	Marketing	Sales	Admin
Frequency	250	400	150

16 of 40

Question 1

Give two disadvantages when using secondary data.

Question 2

‘How many times in the past 7 days have you visited a supermarket?��1-2 times��3 – 4 times

4 or more times’

�What is wrong with the above question?

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Question 3

An employer wants to take a sample of 80 of its employees proportional to the size of the department they work in. �What type of sampling is this?

The number of employees in each department is shown in the table below. Work out how many employees are needed from each department.

Dept	Marketing	Sales	Admin
Frequency	250	400	150

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Question 2

Justin wants to find out how many times people at his dentist surgery brush their teeth. He takes a sample by choosing the first 10 males and females from an alphabetical list of patients.

Explain why this sampling method is unreliable.

Which sampling method could Justin use to get more accurate results?

Question 3

Edith has some data and has used statistical software to calculate the Spearman's rank correlation coefficient of 0.9 and a PMCC of 0.7. �Give an advantage of using statistical software?

Which graph is more likely to show the data? Give statistical reasons for your answer.

18 of 40

Question 1

Question 2

Draw a frequency polygon to display the data in the table

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Question 3

What goes on the y axis of a histogram?

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Question 1

Question 2

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20 of 40

The mean point of the data is (1.5, 8). Use this information to plot a line of best fit.

What type of correlation is shown on the scatter diagram?

Ed wants to find out the air temperature at 4m above sea level. Explain why this may not be accurate.

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Calculate the standardised score for a score of 45, mean 48 and standard deviation of 3.4.

In Maths, Jane got a standardised score of 0.9 and Hannah got a standardised score of 0.6. Which student did better in the test?

Hannah got a standardised score of 1.4 in science. Did she get a higher overall mark in Science? Explain your answer.

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Question 3

A group of men have a mean weight of 92.3kg. The following data is from a group of women. Compare the

mean weight for men and women.

Question 1

Name the type of

graph shown

Question 4

What is the formula to calculate a standardised score?

23 of 40

Question 1

Explain what is meant by the word random when sampling.

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24 of 40

Question 2

Question 1

25 of 40

(d) In 1991 305,050 couples married and in 2005 278,793 married. Using a radius of 8cm for 1991, what radius would be used for 2005?

(2)

26 of 40

Question 1

Use the stats mode on your calculator to work out the mean from the table.

Question 2

Fred wants to take a random sample of 10 trees. He has 400 trees in his orchard. Use the following table to write down the numbers of the trees he should choose.

Question 3

Define the word census.

Question 4

Define quantitative data

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Lesson 4

383	444	421
71	355	361
90	267	405
88	334	385
492	161	126

27 of 40

Question 1

Use the stats mode on your calculator to work out the mean from the table.

Question 2

Fred wants to take a random sample of 10 trees. He has 400 trees in his orchard. Use the following table to write down the numbers of the trees he should choose.

Question 3

Define the word census.

Question 4

Define quantitative data

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Lesson 4

383	444	421
71	355	361
90	267	405
88	334	385
492	161	126

28 of 40

Question 1

James asks everyone in his year group to name their favourite colour. Use two words to describe the type of data he will collect.

Question 2

The ONS collects data to find out the average wage in the UK. Is this data primary or secondary?

Question 3

Jenny collects data from people in her exercise class. She asks their height and weight and writes it down. Is this data bivariate?

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Question 4

Calculate the mean of 4, 7, 2, 1, 6

29 of 40

Question 1

What does the area of a bar show on a histogram?

How do you calculate frequency density?

Question 2

Describe how to take a systematic sample of cakes leaving a production line. There are 6000 cakes and you want a sample size of 50.

Question 3

What should you not stratify by if doing a stratified sample?

Question 4

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30 of 40

Question 1

What does the area of a bar show on a histogram?

Frequency

How do you calculate frequency density? Frequency ÷ class width

Question 2

Describe how to take a systematic sample of cakes leaving a production line. There are 6000 cakes and you want a sample size of 50.

6000÷50 = 300 so you need every 300^th item. Then use a random number generator to get a number under 300 to start from

Question 3

What should you not stratify by if doing a stratified sample?

Whatever you are investigating. Eg not by age if you’re investigating how different age groups vote in an election.

Question 4

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https://screenrec.com/share/W248lT6G7n

31 of 40

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Use linear interpolation to calculate an estimate for the median length of some ribbons.

32 of 40

Question 1

Give two reasons why you would take a sample instead of a census.

Question 2

Lucy is researching the population size of birds in a field.

She goes to the field and catches 88 birds, tagging each one he catches.

A few days later she returns to the field and catches 58 birds.

8 of these birds are tagged.

Estimate the population size of the birds living in the field.

Give one reason your estimate may not be accurate.

Question 3

Danny asks the members of hi

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33 of 40

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34 of 40

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Question 3

Name the type of graph shown.

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Question 2

Justin wants to find out how many times people at his dentist surgery brush their teeth. He takes a sample by choosing the first 10 males and females from an alphabetical list of patients.

Explain why this sampling method is unreliable.

Which sampling method could Justin use to get more accurate results?

Question 3

Edith has some data and has used statistical software to calculate the Spearman's rank correlation coefficient of 0.9 and a PMCC of 0.7. �Give an advantage of using statistical software?

Which graph is more likely to show the data? Give statistical reasons for your answer.

36 of 40

Question 1

Work out the gradient of the line between (9,4) and (1,10)

Work out the equation of a line with a gradient of 5 passing through the point (3,6).

Question 3

Simplify

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Question 2

Rachel is collecting information about peoples alcohol buying habits. She plans to ask a quota sample of 50 adults from each of the following age groups.

Age under 25

Age 25-40

Age over 40

Comment on whether Rachels plan is appropriate.

37 of 40

Question 1

Kobi is investigating how many people in his town are employed in 2018 and 2020. He surveyed 89 000 people in 2018 and 113 000 people in 2020. He drew comparative pie charts for each year and used a radius of 4cm in 2018, what would his radius be for 2020?

Explain why it would be more appropriate to draw comparative pie charts to compare the number of people employed in each year.

The proportion of people employed in each year was 70%, how would you be able to see this from the pie chart?

Q3

From the cumulative frequency graph, work out the 20^th and 80^th percentile.

The curve shows information about the time taken to complete a puzzle by a group of women. A group of men who completed the same puzzle had a median time of 80 seconds and an interpercentile range of 30 seconds. Compare the times taken to complete the challenge by men and women.

Q2

The chart above shows price index numbers and chain base index numbers for house prices.

Explain what the number 108 means.
Why are the chain base numbers different to the price index numbers?

Year	2018	2019	2020	2021
Price index number	100	102.5	108	114
Chain base index number		102.5	105.3	105.5

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Question 2

Justin wants to find out how many times people at his dentist surgery brush their teeth. He takes a sample by choosing the first 10 males and females from an alphabetical list of patients.

Explain why this sampling method is unreliable.

Which sampling method could Justin use to get more accurate results?

Question 3

Edith has some data and has used statistical software to calculate the Spearman's rank correlation coefficient of 0.9 and a PMCC of 0.7. �Give an advantage of using statistical software?

Which graph is more likely to show the data? Give statistical reasons for your answer.

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Question 2

Use your calculator to work out the standard deviation of 4,6,7,9,2,3.

Question 1

Question 3

Write a question and include answer boxes to find out how much time people spend on gaming.