statistics notes
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Key GCSE Statistics NotesPrimary Data:Data collected by person going to use it.
Advantage: Accuracy knownDisadvantage: Time consuming
Secondary DataData not collected by the person going to use it.
Advantage: Easy to get/CheapDisadvantage: Accuracy unknown
Key GCSE Statistics NotesPopulation:Everybody or everything that could be involved in the investigation.
Census:Data about every member of the populationAdvantage: Unbiased/AccurateDisadvantage: Time consuming
Key GCSE Statistics NotesSample:Only part of the population used in an investigation.
Advantage: Less Time/Cheaper/EasierDisadvantage: Possibly biased
Key GCSE Statistics NotesInterview:
Advantage: Detailed answers/Lots of questions askedDisadvantage: Expensive
Questionnaire
Advantage: CheaperDisadvantage: Answers less detailed
Possible poor response rate
Key GCSE Statistics NotesPilot Survey:A small scale of the questionnaire to be used
Advantage: Shows you likely responses
Checks questions are suitable
Allows you to tweak/alter /add questions if needed
Types of Data:
Quantitative variables: Qualitative variables:
These have numerical observations, such as
shoe size (7, 8, 9, 7.5, 8.5)
Height (178cm, 1.9m) and weight.
Variables that have non-numerical observations, eg. Eye colour,
Favourite food
Quantitative or Qualitative data
Which data is quantitative and which is qualitative?
1. Favourite colour
2. the amount of people in a class
3. the men's 100m sprint record time
4. The make of different cars
5. the capacity of a car's petrol tank
6. the gender of students in a class
7. the names of places visited
8. your age
9. your favourite food
10. car registration plates
Answers
1. qualitative
2. quantitative
3. quantitative
4. qualitative
5. quantitative
6. qualitative
7. qualitative
8. quantitative
9. qualitative
10. qualitative
Quantitative variables can be broken down further.
Quantitative variables:
Continuous data Discrete data
…Are measured on a scale and can take any value eg. height
The units of measurement (eg. CDs) cannot be split up; there is nothing between 1 CD and 2 CDs.
Statistics
Decide whether or not the following are continuous or discrete:
a) Shoe size:
b) Gender:
c) The numbers of chocolates in a box:
d) Times taken for athletes to run 100m:
Discrete because can only take specific values, eg, 7, 8, 8.5. Cannot get a size 8.35
Discrete because can only be male or female.
Discrete.
Time is continuous
Discrete and continuous data
Which data is discrete and which is continuous?
1. the number of pages in a book
2. the amount of people in a class
3. the men's 100m sprint record time
4. the number of Smarties in a tube
5. the capacity of a car's petrol tank
6. the length of your shoe
7. the number of hairs on your head
8. your age
9. the temperature in Timbuktu
10. your shoe size
Answers
1. discrete
2. discrete
3. continuous
4. discrete
5. continuous
6. continuous
7. discrete
8. continuous
9. continuous
10. discrete