New
New
Year 10
Foundation

Sampling methods

I can see why samples are used and why different selection methods exist.

New
New
Year 10
Foundation

Sampling methods

I can see why samples are used and why different selection methods exist.

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Lesson details

Key learning points

  1. Samples are used when using the whole population would be impractical/destructive.
  2. There are various sampling methods.
  3. A simple random sample is one of the easiest samples to collect.

Keywords

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

Common misconception

Names in a hat is the simplest way to perform a simple random sample.

This can be true for very small populations but becomes time consuming quickly.

Consider asking pupils to perform a simple random sample for 15 pupils from the year group or whole school. How long do they think it will take using the names in a hat technique? What about using a RNG? Which is quicker?
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Select all the examples of quantitative discrete data.
The distance a bird flies in a day.
Correct answer: The number of eggs in a nest.
The colour of a bird's wings.
The type of tree that a bird's nest is in.
Correct answer: The number of insects a bird eats in a day.
Q2.
Data that has been previously collected for a different or unknown purpose are called data.
Correct Answer: secondary, Secondary
Q3.
Lucas collects some data on shoe sizes. Which of these statements are correct?
Shoe sizes are an example of qualitative data
Correct answer: Shoe sizes are an example of quantitative data
Shoe sizes are an example of continuous data.
Correct answer: Shoe sizes are an example of discrete data.
Q4.
Match each type of data to an example.
Correct Answer:qualitative,type of pet

type of pet

Correct Answer:quantitative discrete,number of pets in each household

number of pets in each household

Correct Answer:quantitative continuous,mass of each pet

mass of each pet

Q5.
Laura measures the temperature outside her school every morning at 10 am for a month. What type of data has Laura collected?
Correct answer: continuous data
discrete data
Correct answer: primary data
Correct answer: quantitative data
secondary data
Q6.
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?
numerical data
primary data
Correct answer: qualitative data
quantitative data
Correct answer: secondary data

6 Questions

Q1.
The is the entire set of people, creatures, plants or items that make up the whole group which is being studied.
Correct Answer: population, Population
Q2.
A simple sample is where every item in a population has an equal chance of being selected for the sample.
Correct Answer: random, Random
Q3.
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?
All the sheep in the local area
Correct answer: All the sheep on the farm
All the sheep in one field on the farm
All the animals on the farm
Q4.
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?
Yes, because each pupil has an equal chance of being chosen.
Yes, because a random number generator can choose each pupil.
No, because every pupil has two numbers.
Correct answer: No, because some pupils are less likely to be chosen.
Q5.
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 .
An image in a quiz
Correct Answer: 126 - 150, 126-150, 126 -150, 126- 150, 126 to 150
Q6.
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?
An image in a quiz
RanInt#(1, 25)
RanInt#(100, 125)
RanInt#(1, 126)
Correct answer: RanInt#(1, 150)
RanInt#(1, 145)