Starter quiz
- 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
- population ✓
- sample
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- ______ is the relationship between two variables on a scatter graph.
- 'Correlation' ✓
- Extrapolation is the process of estimating unknown values that are ______.
- based on the mean of the data
- inside the range of existing data
- outside the range of existing data ✓
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What type of correlation does the scatter graph show?- negative correlation ✓
- no correlation
- positive correlation
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- 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.
- 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
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- The mean for the following numbers data set 8.2, 7.4, 11.3, 9.1 is ______.
- '9' ✓
Exit quiz
Which is the least popular mode of transport in this school?- bus
- car
- cycle
- train ✓
- walk
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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?- diesel
- electric
- petrol ✓
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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.- Town A⇔has a high number of phone towers for the population ✓
- Town B⇔has the expected number of phone towers for the population ✓
- Town C⇔has a low number of phone towers for the population ✓
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?- A month with 10 hours of sunshine expect a mean temperature of 1 degrees C.
- 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.
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- 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?
- ______ 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).
- 'Bias' ✓
Worksheet
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Lesson Details
Key learning points
- Conclusions can be drawn from statistical summaries and graphical representations.
- Conclusions are understood to be limited by any biases.
- Conclusions are understood to only be valid for this sample of data.
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.
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
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