Year 1 Statistics Flashcards

1
Q

What is a population?

A

The whole set of items that are of interest.

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2
Q

What is a census?

A

Measure of every member of the population.

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3
Q

What is a sample?

A

Taken from a subset of the population, used to find out information from the population as a whole.

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4
Q

What is the advantage of a census?

A

It should give a completely accurate result.

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5
Q

What are the disadvantages of a census?

A
  • Time consuming and expensive.
  • Cannot be used when the testing process destroys the item.
  • Hard to process large data.
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6
Q

What are the advantages of a sample?

A
  • Less time-consuming and cheaper.
  • Fewer have to respond.
  • Less data to process.
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7
Q

What are the disadvantages of a sample?

A
  • Data may not be accurate.
  • Sample may not be large enough to give information of small sub-groups of the population.
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8
Q

What are sampling units?

A

Individual units of a population.

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9
Q

What is a sampling frame?

A

Sampling units of a population.

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10
Q

What are the types of random sampling?

A

Simple random sampling, Systematic sampling and Stratified sampling.

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11
Q

What is simple random sampling?

A

Ordered list, generate a random number using a calculator/computer or members are picked from a ‘hat’ (Lottery sampling).

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12
Q

What is systematic sampling?

A

Sample taken at regular intervals from an ordered list.
Divide the population by sample size and randomly generate the start number.

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13
Q

What is stratified sampling?

A

When the population are divided into stratas, a random sample is taken from each.
(Number in strata / Number in population) x Sample size.

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14
Q

What are the advantages of simple random sampling?

A
  • Free from bias.
  • Easy and cheap for a small sample.
  • Each sampling unit has an equal chance of selection.
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15
Q

What are the disadvantages of simple random sampling?

A
  • Time-consuming and expensive for a large sample size.
  • A sampling frame is needed.
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16
Q

What are the advantages of systematic sampling?

A
  • Simple and quick.
  • Suitable for large samples.
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17
Q

What are the disadvantages of systematic sampling?

A
  • Sampling frame needed.
  • Introduces bias if the sampling frame is not random.
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18
Q

What are the advantages of stratified sampling?

A
  • Accurately reflects the population structure.
  • Guarantees proportional representation.
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19
Q

What are the disadvantages of stratified sampling?

A
  • Population must be classified into stratas.
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20
Q

What are the types of non-random sampling?

A

Quota sampling and Opportunity sampling.

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21
Q

What is Quota sampling?

A

Interviewers select a sample that reflects the characteristics of the whole population.
The population is divided into groups given characteristics.

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22
Q

What is opportunity sampling?

A

Taking a sample from people who are available and fit the criteria.

23
Q

What are the advantages of quota sampling?

A
  • A small sample is still representative of the population.
  • No sampling frame is needed.
  • Quick, easy and inexpensive.
  • Easy comparison between different groups.
24
Q

What are the disadvantages of quota sampling?

A
  • Non-random sampling introduces bias.
  • Must be divided into groups which can be costly and inaccurate.
  • Increasing the scope of the study increases the number of groups, adding time and expense.
25
Q

What are the advantages of opportunity sampling?

A
  • Easy to carry out.
  • Inexpensive.
26
Q

What are the disadvantages of opportunity sampling?

A
  • Unlikely to provide a representative sample.
  • Dependant on individual researcher.
27
Q

What is quantitative data?

A

Numerical.

28
Q

What is qualitative data?

A

Non-numerical

29
Q

What is continuous data?

A

Any value in a given range.

30
Q

What is discrete data?

A

Specific values.

31
Q

How to calculate the mean on an ordinary table?

A

Multiply the frequency by the data values.

Add them together then divide by the sun of the frequency.

32
Q

When do you use the .5 midpoint?

A

When the data is not in closed class boundaries.

33
Q

How to find the quartile from the data?

A

The sun of the frequency multiplied by the quartile.

34
Q

What is the equation for the standard deviation?

A

Square root the sum of the mean of the squares take away the mean squared.

35
Q

What is the equation for standard deviation if fx form?

A

Square root sum of fx^2 / sum of f
Minus sum of fx / sum of f

36
Q

What is the standard deviation in relation to the variance?

A

Square root of the variance.

37
Q

What do you do in coding for sd and mean?

A

Nothing for mean.
Don’t + or - for sd

38
Q

Where do you plot with cumulative frequency?

A

At the end point.

39
Q

What to remember when plotting histograms?

A

The bars should touch.

40
Q

How to calculate velocity?

A

Displacement/time

41
Q

What is the number for gravity?

A

9.8

42
Q

How is continuous data interpreted?

A

Using a .5th value

43
Q

What does the area under the velocity time graph represent?

A

Distance travelled

44
Q

What does the gradient of a velocity time graph represent?

A

Acceleration

45
Q

What is the modelling assumption of a particle?

A

Mass is concentrated at a single point.
rotational forces and air resistance can be ignored.

46
Q

What is the modelling assumption of a uniform body?

A

Mass is concentrated at the centre.

47
Q

What is the modelling assumption of a light object?

A

Zero mass.
Tension same at both ends.

48
Q

What is the modelling assumption of an inextensible string?

A

Acceleration is the same.

49
Q

What is the modelling assumption of a smooth surface?

A

No friction.

50
Q

What is the modelling assumption of a rough surface?

A

Experience frictional force.

51
Q

What is the modelling assumption of a smooth and light pulley?

A

Pulley has no mass.
Tension is the same on either side.

52
Q

What is the modelling assumption of air resistance?

A

Negligable.

53
Q

What is the modelling assumption of gravity?

A

All with mass are attracted.
Uniform, vertically downwards.
Constant.