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Year 8

Statistical problems - drawing conclusions

I can effectively summarise and communicate conclusions to a statistical problem.

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New
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Year 8

Statistical problems - drawing conclusions

I can effectively summarise and communicate conclusions to a statistical problem.

Download all resources
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Share activities with pupils
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These resources will be removed by end of Summer Term 2025.

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Lesson details

Key learning points

  1. Conclusions can be drawn from statistical summaries and graphical representations.
  2. Conclusions are understood to be limited by any biases.
  3. Conclusions are understood to only be valid for this sample of data.

Keywords

  • Population - The population is the entire set of people, creatures, plants or items that make up the whole group which is being studied

  • Sample - A sample is a subset of the population.

  • Bias - Bias can be present in any sample collected from a population. e.g. only asking year 7 pupils about a whole school issue.

  • Statistical summary - A statistical summary sums up the features of a data set

Common misconception

The findings for a data investigation using a sample can always be generalised to the population.

The generalisability of results can depend on how representative the sample is of the population which it is being compared to.


To help you plan your year 8 maths lesson on: Statistical problems - drawing conclusions, download all teaching resources for free and adapt to suit your pupils' needs...

Ask pupils to consider different scenarios where the results of a data investigation may differ depending the age of the sample - E.g., hours of sleep per night, number of cartoons watched per day, method of travelling to school/work.
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This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.
In a data investigation, the __________ is the entire set of people, creatures, plants or items that make up the whole group which is being studied.
correlation
extrapolation
Correct answer: population
sample
Q2.
is the relationship between two variables on a scatter graph.
Correct Answer: Correlation, correlation
Q3.
Extrapolation is the process of estimating unknown values that are .
based on the mean of the data
inside the range of existing data
Correct answer: outside the range of existing data
Q4.
What type of correlation does the scatter graph show?
An image in a quiz
Correct answer: negative correlation
no correlation
positive correlation
Q5.
A data investigation finds a positive correlation between temperature and ice cream sales. What does this suggest?
As the temperature increases, the number of ice cream sales decreases.
Correct answer: As the temperature increases, the number of ice cream sales also increases.
There is no relationship between the temperature and ice cream sales.
Ice cream sales cause the temperature to increase
Q6.
The mean for the following numbers data set 8.2, 7.4, 11.3, 9.1 is .
Correct Answer: 9, nine, 9.0

Exit quiz

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6 Questions

Q1.
Which is the least popular mode of transport in this school?
An image in a quiz
bus
car
cycle
Correct answer: train
walk
Q2.
An investigation surveys residents of two towns about which type of car they drive. The stacked bar chart shows the results. Which is the most popular type of car in this survey?
An image in a quiz
diesel
electric
Correct answer: petrol
Q3.
The scatter graph shows the population of some towns and the number of phone towers the town has. Each point in the scatter graph represents a town or region. Match each town with its statement.
An image in a quiz
Correct Answer:Town A,has a high number of phone towers for the population
tick

has a high number of phone towers for the population

Correct Answer:Town B,has the expected number of phone towers for the population
tick

has the expected number of phone towers for the population

Correct Answer:Town C,has a low number of phone towers for the population
tick

has a low number of phone towers for the population

Q4.
The scatter graph shows data about the sunshine duration and mean temperature for each month in a city. Which of the statements is the most valid?
An image in a quiz
A month with 10 hours of sunshine expect a mean temperature of 1 degrees C.
Correct answer: A month with 100 hours of sunshine expect a mean temperature of 12 degrees C.
A month with 330 hours of sunshine expect a mean temperature of 25 degrees C.
Q5.
A data investigation surveys 100 people in Oxford about their preferred mode of transport. The most popular mode of transport was bicycle. Which is the most valid conclusion based on these results?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q6.
can be present in any sample collected from a population and may affect the results of a statistical investigation (e.g. only asking year 7 pupils what food should be served in the school).
Correct Answer: Bias, BIAS, bias