Maths Unit 2 Flashcards

1
Q

What is the definition of Population

A

The entire group being considered

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2
Q

What is the definition of a Sample

A

A subset of the population

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3
Q

What is the definition of a Census

A

When we survey the entire population, this is rare and expensive

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4
Q

What is the definition of Bias

A

A systematic error. It is when a sample is over-representative of a particular group

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5
Q

What is the definition of Variables

A

The attributes of the object under consideration; may be qualitative or quantitative

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6
Q

What is the definition of Qualitative

A

Variables that can’t be counted

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7
Q

What is the definition of Quantitative

A

Variables that can be counted or measured. Split into discrete or continous data

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8
Q

What is the definition of Discrete Data

A

Only takes exact values e.g. Shoe size

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9
Q

What is the definition of Continous Data

A

Measured on a scale and can take any value within that scale e.g. Height

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10
Q

What are all the types of sampling

A

1) Simple Random
2) Systematic
3) Stratified
4) Cluster
5) Opportunity
6) Quota
7) Self-selected

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11
Q

What are the advantages of Simple Random Sampling

A

1) Easy to implement
2) Each member of the population has an equal chance of being chosen
3) Free from bias

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12
Q

What are the disadvantages of Simple Random Sampling

A

1) If sampling frame is very large it may be impractical
2) A complete list of the population may not be available
3) Minority subgroups may not be present in the sample

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13
Q

What are the advantages of Systematic Sampling

A

1) Easy to select
2) Evenly spread over the population

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14
Q

What are the disadvantages of Systematic Sampling

A

1) Not all data has an opportunity to be selected
2) Bias may be present if a certain trait occurs periodically

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15
Q

What are the advantages of Stratified Sampling

A

1) Strata are proportionally represented in the final sample
2) Easy to compare subgroups

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16
Q

What are the disadvantages of Stratified Sampling

A

1) Information must be gathered before subgroups can be chosen
2) It may not always be possible to split a population into mutually exclusive subgroups

17
Q

What are the advantages of Cluster Sampling

A

1) Cuts down the cost an time by collecting data from only a limited number of groups
2) Can show grouped variations

18
Q

What are the disadvantages of Cluster Sampling

A

1) It is not a genuine random sample
2) The sample size is smaller and from thus the sample is likely to be less representative of the population

19
Q

What are the advantages of Opportunity Sampling

A

1) Cuts down the cost of preparing a sampling frame as it is less time-consuming

20
Q

What are the disadvantages of Opportunity Sampling

A

1) Bias, as it does not represent the population well

21
Q

What are the advantages of Quota sampling

A

1) Does not require a sampling frame or strict random sampling technique, which makes t quicker
2) Accurately represents the entire population (Among random sampling methods)
3) Easier comparison between subgroups

22
Q

What are the disadvantages of Quota Sampling

A

1) Can have selection bias as the researcher decides who is included
2) Not always possible to divide the population into mutually exclusive groups
3) Inaccuracy is very possible

23
Q

What are the advantages of Self-selected sample

A

1) Very low cost and low effort

24
Q

What are the disadvantages of Self-selected sampling

A

1) Bias is very likely

25
What is the equation of **Frequency Density**
Frequency Density = Frequency / classwidth
26
What are the features of a **Histogram**
1) The area of each bar is proportional to the frequency of the class 2) There are no gaps between the bars 3) The vertical axis is labelled frequency density 4) Class width is the difference between the boundaries in each class
27
What is the **interpretation** if the size of the **correlation** is **0.90 to 1.0 (-0.90 to -1.0)**
Very high positive (negative) correlation
28
What is the **interpretation** if the size of the **correlation** is **0.70 to 0.90 (-0.70 to -0.90)**
High positive (negative) correlation
29
What is the **interpretation** if the size of the **correlation** is **0.50 to 0.70 (-0.50 to -0.70)**
Moderate positive (negative) correlation
30
What is the **interpretation** if the size of the **correlation** is **0.30 to 0.50 (-0.30 to -0.50)**
Low positive (negative) correlation
31