Topic 4 Flashcards

1
Q

What is the measure of central tendency?

A

Summarises the data set with a SINGLE VALUE that is representative of the data set

e.g. mean, median, mode

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2
Q

Finish the scentence

If data is approximately normal, the mean, median, and mode will be ….

A

Equal

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3
Q

What is variability?

A

Extent to which things are not the same, how scores differ from one another

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4
Q

What is variability’s role in inferential statistics?

A

The amount of variability affects the kind of statements we can make about the population and the degree of confidence in these statements

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5
Q

What is variability’s role in descriptive statistics?

A

Variability is a property of the data

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6
Q

(descriptive stats) Does the mean better represent the data in a low variability or high variability data set?

A

Low

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7
Q

What is the range?

A

The largest score - the smallest score

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8
Q

How accurate is the range?

A

Not very accurate as it doesn’t take into account the distribution of the data

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9
Q

What is variance?

A

The sum of squared deviations from the mean divided by the number of scores

∑ (xi - x(bar) ) ^2 / n

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10
Q

What is the standard deviation?

A

Is approx the average distance of the scores from their mean

S = (Square root of). ∑(xi - x(bar) ) ^2 / n

Have to put n-1

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11
Q

What is an inflection point?

A

A point where the curve starts bending outwards more i.e not following a linear curve

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12
Q

How far away from the mean is an inflection point?

A

It is ALWAYS 1 standard deviation from the mean

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13
Q

What % of scores are within +/- 1 standard deviations of the mean?

A

68%

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14
Q

What % of scores are within +/- 2 standard deviations of the mean?

A

96%

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15
Q

What % of scores are within +/- 3 standard deviations of the mean?

A

99.7%

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16
Q

What is the formula for a Z-Score?

A

Z = xi - xbar / standard deviation

17
Q

What does the Z score tell us?

A

How far away a score is from the mean, taking into account the variability of the scores in the data set