Unit 2 Flashcards

1
Q

What is a population?

A

A group/set of things you are interested in.

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2
Q

What is a sample?

A

A subset of a population

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3
Q

What is a parameter?

A

A number that describes the while population.

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4
Q

What is a statistic?

A

It is taken from a single sample and can estimate a parameter.

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5
Q

How do a census and sample compare?

A

A census considers all members of a population, whereas a sample only considers some of the population.

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6
Q

What are the advantages and disadvantages of a census?

A

Adv:
- guarantees an accurate view of the population

Disadv:
- not possible for an infinite population
- unrealistic when it damages the thing being investigated, e.g. battery lifetime
- time consuming and expensive

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7
Q

What are the advantages and disadvantages of a sample?

A

Adv:
- can be used for larger or infinite populations
- quicker and cheaper than a census

Disadv:
- can give a misleading view on the population

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8
Q

What is simple random sampling?

A

Every member of the population is equally likely to be chosen. For example, you could assign each member a number, and then use a random number generator to decide the members of the sample.

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9
Q

What is systematic sampling?

A

When you divide the population by the sample size (let it be n), and then use every nth member in your sample. For example, with a population size of 100 and a sample size of 5, 100/5 = 20, so you would use every 20th member in your sample.

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10
Q

What us stratified sampling?

A

When you separate a population into subpopulations, e.g. by age group. You then sample within each group in proportion to size. The formula is (sample size/population size) x stratum.

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11
Q

What is opportunity sampling?

A

Taking samples from members of the population you have access to until you have a sample of a desired size, e.g. standing in town centre and handing out questionnaires.

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12
Q

What is quota sampling?

A

When you want distinct groups to be represented in your sample, decide how many members you want in each and do opportunity sampling until you have enough samples for each.

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13
Q

What the qualitative data?

A

Non numerical data, such as hair colour

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14
Q

What is quantitative data and what are the two types?

A

Numerical data
Discrete: data that can only take specific values, e.g. how many pets you own
Continuous: data that can take any value in a given range, e.g. mass

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15
Q

What is left/negative skew?

A

It is when there are more extreme values on the left and most values are found on the right, and the tail is more pronounced on the left.
Mean < median < mode
E.g. 1 2 3 4 100

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16
Q

What is right/positive skew?

A

When there are more extreme values found on the right and most values are on the left, and there is a more pronounced tail on the right.
Mode < median < mean
E.g. 1 100 102 103 104

17
Q

What is the first, second and third quartile?

A

First/lower: middle value between lowest value and median
Second: median
Third/upper: middle value between highest value and median

18
Q

What is the formula for the median?

A

n + 1 / 2

19
Q

What is the formula for the LQ?

A

n + 1 / 4

20
Q

What is the formula for the UQ?

A

3(n + 1) / 4

21
Q

How do you calculate interquartile range?

A

Q3 - Q1

22
Q

What is variation?

A

The average distance of each number from the mean in a set of data.

23
Q

How do you calculate variation?

A
  • calculate the difference between each data value (x)
  • find the mean of the square of these values (x bar)
24
Q

How do you calculate standard deviation?

A

Square root the variance.

25
Q

What is a Bernoulli trial?

A

A test with only 2 possible outcomes: success or failure

26
Q

What is a critical region?

A

A set of values that would give a probability mess than the significance level.