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Exam (elaborations)

A Level Maths – Statistics Exam Questions And Complete Answers.

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  • Course
  • A level Maths
  • Institution
  • A Level Maths

Population - Answer The whole set of items that are of interest Census - Answer Observes or measures every member of a population Sample - Answer A selection of observations taken from a subset of the population which is used to find out information about the population as a whole ...

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  • November 18, 2024
  • 9
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • A level Maths
  • A level Maths
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A Level Maths – Statistics Exam
Questions And Complete Answers.
Population - Answer The whole set of items that are of interest



Census - Answer Observes or measures every member of a population



Sample - Answer A selection of observations taken from a subset of the population which is used to
find out information about the population as a whole



Census - Adv & Disadv - Answer Adv

- Completely accurate



Disadv

- Time consuming & expensive

- Cannot be used when the testing process destroys the item

- Hard to process large quantity of data



Sample - Adv & Disadv - Answer Adv

- Less time consuming & less expensive than a census

- Fewer people have to respond

- Less data to process than in a census



Disadv

- Data may not be as accurate

- May not be large enough to reflect about subsets in population



Sampling units - Answer Individual units of a population

, Sampling frame - Answer Sampling units of a population individually named or numbered to form a list



Simple random sampling - Answer One of every sample of size 'n' has an equal chance of being
selected

- requires a sampling frame



Systematic sampling - Answer The required elements are chosen at regular intervals from an ordered
list

- first element should be chosen at random



Stratified sampling - Answer The population is divided into mutually exclusive strata and a random
sample is taken from each

- proportion of each strata sampled should be the same



Stratified sampling formula - Answer The number sampled in a stratum = (number in stratum / number
in population) x overall sample size



Simple random sampling - Adv & Disadv - Answer Adv

- Free of bias

- Easy & cheap to implement for small populations and small samples

- Each sampling unit has a known and equal chance of selection



Disadv

- Not suitable when the population size or the sample size is large

- A sampling frame is needed



Systematic sampling - Adv & Disadv - Answer Adv

- Simple and quick to use

- Suitable for large samples and large populations

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