Starter quiz
- A stratified ______ is where a representative sample is taken from each stratum.
- 'sample' ✓
- Select all the biased questions.
- How many hours gaming did you do last month?
- Do you not agree that you are a person who doesn't not play computer games?
- How many computer games did you play last month?
- Don't you think our new computer game is amazing? ✓
- Intelligent people play computer games. Do you play computer games? ✓
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- Jacob writes the question: "How many siblings do you have?". What should Jacob consider when making response boxes for this question?
- Have no biased options.
- Have a none or 0 option. ✓
- Have a "more than" option. ✓
- Have no overlaps between options. ✓
- Have no leading options.
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- A pizza company asks: In your opinion, how would you rate the sizes of pizza by our rivals?: [Satisfactory, Small, Microscopic]. What is wrong with their question?
- The responses are subjective. ✓
- The responses are overlapping.
- The question has double negatives.
- The responses are biased towards negative answers. ✓
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- Select all the questions that are considered to be asking for personal information.
- What is your religion? ✓
- What is your mark in the last maths test? ✓
- How many books did you read last month?
- What is your weight? ✓
- How many hours of homework did you do last night?
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- A supermarket manager wants to find out how satisfied customers with the store. He asks customers: "Do you not find it easy to not not overspend in this store?". Criticise their question.
- The question is leading people to answer 'no'.
- The question is biased.
- The question is asking for personal information.
- The question contains double negatives. ✓
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Exit quiz
- You should use a ______ sample when the population consists of several distinct groups such as year groups in a school or people studying different courses.
- 'stratified ' ✓
- A film streaming company designs this questionnaire. How often do you get download films? [once or twice /often / all the time] How could their question be improved?
- “Never” option ✓
- An option for types of film
- A time frame ✓
- Unambiguous / clear options ✓
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- The owner of a cinema in Oakfield wants to see if they can expand to the town of Rowanwood. They ask 10 of their friends in Oakfield if they would use a new cinema. How can they improve their sample?
- Give questionnaire to people in Oakfield cinema
- Take larger sample ✓
- Ask more neighbours
- Collect data from people in the Rowanwood ✓
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- The owner of a bakers in Oakfield wants to find out what their customers think of their new cakes. Match each type of sample to a suitable example.
- random sample⇔80 people selected at random from the population of Oakfield ✓
- biased sample⇔80 people selected at random from the baker's customers ✓
- good biased sample⇔80 people who buy cakes from the bakers selected at random ✓
- bad biased sample⇔80 people who buy gluten free bread at the bakers selected at random ✓
- A conservationist collects a stratified sample of 35 birds from a lake. They collect 5 swans, 12 geese, 8 moorhens and some ducks. There are 20 swans on the lake. How many ducks are on the lake? ______
- '40' ✓
- A quality controller takes a stratified sample of 16 type A batteries and 12 type B batteries. The factory produce 2545 type A batteries. They produce ______ of type B to the nearest whole battery.
- '1909' ✓
Worksheet
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Lesson Details
Key learning points
- Samples can be evaluated to determine the validity of any conclusions.
- A suitable sample size can vary, depending on the statistical enquiry.
- A biased sample can still be useful, such as in stratified sampling.
Common misconception
Biased samples are always bad.
A biased sample is sometimes useful if the sample is proportional to the population and/or it focuses on a section of the population relevant to the investigation.
Keywords
Sample - A sample is a subset of the population.
Stratified sample - A stratified sample is where a representative sample is taken from each stratum.
Bias - Bias can be present in any sample collected from a population and may affect the results of a statistical investigation.
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