Mathematical Skills Flashcards

1
Q

What is the mean?

A

The mean is a measure of central tendency. It shows the average or expected value in a set of data

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2
Q

What is a strength of the mean?

A

Easy to calculate mathematically, gives a precise value, and useful for statistical tests

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3
Q

What is a strength of the mean?

A

Easy to calculate mathematically, gives a precise value, and useful for statistical tests

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4
Q

What is a weakness of the mean?

A

Can be affected by outliers, can give a value not originally in the data set

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5
Q

What is median?

A

The middle value in a set of data that is organised by increasing value

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6
Q

What is the strength of the median?

A

Not affected by outliers, will always give a value originally in the data set

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7
Q

What is the weakness of the median?

A

Not a useful as other statistical test, required sorted and ordered data

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8
Q

What is the mode?

A

Provides the most frequent or common value in a data set

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9
Q

What is the strengths of the mode?

A

A useful way of calculating the average when the data is nominal

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10
Q

What is the weaknesses of the mode?

A

There may be multiple modes, there may not be a mode at all, the mode may not represent the spread of the data in an accurate way

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11
Q

What is the range?

A

A measure of dispersion - the difference between the highest and lowest value in a set of data

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12
Q

What are the strengths of the range?

A

Easy to calculate and gives a good idea of the spread of data

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13
Q

What are the weaknesses of the range?

A

Is affected by outliers and is not useful for other statistical calculations

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14
Q

How do you calculate the variance?

A

Calculate the mean, subtract the mean from every value in the table (the new value is called d), square each value of d, add up each value of d squared, divide this number by the amount of numbers of values in the table

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15
Q

How do you calculate the standard deviation?

A

Follow the exact same steps as the variance, at the end square rot your answer to get the standard deviation.

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16
Q

What are parametric tests?

A

They assume that the poulation that the data is drawn form is normally distributed

17
Q

What are non-parametric tests?

A

They are used when this assumption cannot be made. These tests are often used due to difficulty in gaining normally distributed populations.

18
Q

What is nominal data?

A

It is used to label or describe variables but have no quantitative values

19
Q

What is ordinal data?

A

It is used to quantify variables, but the difference between each value is not known or quantifiable

20
Q

What is interval data?

A

It is quantitative data in which the difference or scale between the values is precise and measurable. They normally have scientific units

21
Q

What are the characteristics of a positive skew?

A

Peak closer to the axis, the slide going to the right

22
Q

What are the characteristics of a negative skew?

A

Peak further from the axis, the slide going towards the axis

23
Q

What is the test that goes with independent measures and nominal data?

A

Chi Squared

24
Q

What is the test that goes with repeated measures and nominal data?

A

Binomial Sign Test

25
Q

What is the test that goes with independent measures and ordinal or interval data?

A

Mann Whitney U

26
Q

What is the test that goes with repeated measures and ordinal or interval data?

A

Wilcoxon

27
Q

What is the test that goes with correlation and ordinal or interval data?

A

Spearman’s Rho

28
Q

What is primary data?

A

Data that is collected directly and originally from the researchers themselves with the purpose of using the data in the experiment itself

29
Q

What is secondary data?

A

Data that was collected by a third party at a previous time, possible for use in another experiment, but that is still useful for the research purpose