A simple random sample is where every item in a population has an equal chance of being selected for the sample.

Sampling methods

Maths

In this unit, pupils are given the opportunity to assess how valid a sample may be and what the averages might tell us. In the future unit, pupils extend their knowledge of averages to stem and leaf diagrams as well as comparing two data sets.

In the prior unit, pupils considered the mean, median and mode and evaluated their usefulness in a variety of contexts. In this unit, pupils are given the opportunity to consider where the data came from and how it was collected and can therefore start to evaluate how good a representation the sample is of the whole population.

Sampling

The {{}} is the entire set of people, creatures, plants or items that make up the whole group which is being studied.

A simple {{}} sample is where every item in a population has an equal chance of being selected for the sample. 

Investigation: A vet wants to check a sample of sheep from a farm to see if they are all healthy. What is the population in the vet's investigation?

Yes, because each pupil has an equal chance of being chosen.

Yes, because a random number generator can choose each pupil.

No, because some pupils are less likely to be chosen.

A teacher asks each pupil in a class of 30 to write down any two numbers between 1 and 30. The teacher uses RanInt#(1, 15) on her calculator to pick 5 pupils. Will this give a simple random sample?

These six pupils are assigned a range of numbers. A simple random sample of two pupils will be taken using these numbers. The range of integers that Jun should be assigned is {{}}.

These six pupils are assigned a range of numbers. A simple random sample of two pupils will be taken using these numbers. What calculation will generate a simple random sample for this population?

The type of tree that a bird's nest is in.

The number of insects a bird eats in a day.

Select all the examples of quantitative discrete data.

Data that has been previously collected for a different or unknown purpose are called {{ }} data.

Shoe sizes are an example of qualitative data

Shoe sizes are an example of quantitative data

Shoe sizes are an example of continuous data.

Shoe sizes are an example of discrete data.

Lucas collects some data on shoe sizes. Which of these statements are correct?

Laura measures the temperature outside her school every morning at 10 am for a month. What type of data has Laura collected?

Aisha writes an article for the school magazine about sport. She uses data from the local sports centre on what exercise classes they offer. What type of data has Aisha used?

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