Distributions Flashcards

1
Q

distribution in statistics

A

A set of data values or scores organised in a way which enables the shape of the data to be seen/’eyeballed’

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2
Q

frequency of normal distribution

A

perfectly symmetrical around its average value, the ‘mean’

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3
Q

mean of normal distribution

A

The mean splits the area under the distribution curve in half

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4
Q

differences between the mean, median and mode of normal distribution

A

equal

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5
Q

description of physical normal distribution curve

A

smooth and symetrical

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6
Q

non-normal distributions mean median and mods

A

mean, median and mode are different

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7
Q

types of non-normal distributions

A

skew and kurtosis

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8
Q

positive skew

A

mean and median > mode

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9
Q

negative skew

A

mean and median < mode

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10
Q

how to visually work out the type of skew

A

if flipped round it look like a “p” its positively skewed

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11
Q

kurtosis

A

a steep curve with short fat tails

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12
Q

difference between normal distribution and kurtosis

A

kurtosis = steep (leptokurtic) , normal = shallow (platykurtic)

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13
Q

mesokurtic

A

no skew and neutral distribution - like a bell

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14
Q

poisson distribution

A

he number of times an event happens in a period, where the event is independent of the number of times it happened in the previous periods.

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15
Q

Biomodal distributions

A

a mixture of two distributions with different means eg height

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16
Q

parametric tests

A

uses normally distributed data

17
Q

non parametric tests

A

uses non-normally distributed data

18
Q

standard deviation

A

average deviation from the mean

19
Q

High SD

A

a lot of variation

20
Q

Low SD

A

little variation

21
Q

+/- 1 SD of mean

A

68.26% of individuals

22
Q

+/- 2 SDs of mean

A

95.44% of individuals

23
Q

+/- 3 SDs of mean

A

99.75% of individuals

24
Q

+ves SD

A
  • Based on all the scores in a data set.
  • Good measure for interval/ratio data.
  • The value is meaningful in terms of the original units of the data. e.g. grammes, km/h, milliseconds.
25
Q

-ves SD

A
  • Not meaningful for ordinal data e.g. degree rankings.

* Can be distorted by extreme values/outliers in the data set

26
Q

z-scores

A

standardised unit of measurement which is independent of the specific characteristics of a measure

27
Q

z-score in terms of SD

A

the number of standard deviations it is from the mean of the distribution

28
Q

negative z score

A

score is bellow the mean

29
Q

z-score for normal distribution

A

SD of that value expressed to 2dp

30
Q

z-score formulae

A

(individual score x sample mean) / sample SD