Normal distribution and standardisation Flashcards

1
Q

lower SD means

A

more consistent

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2
Q

if there is an error how do you report it

A

missing value

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3
Q

reasons to transform data

A

scale eg units
standardise eg by sex

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4
Q

what happens to the mean and SD when adding or subtracting constant numbers to each value in a data set

A

changes mean by amount added or subtracted
SD remains the same

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5
Q

when multiplying or dividing to a scale …

A

mean and SD increases or decreases by the proportion its being multiplied or divided by

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6
Q

Z score

A

number of SD an observation is from the mean

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7
Q

positive z score =

A

observation above the mean

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8
Q

negative z score =

A

observation lower than mean

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9
Q

zero z score =

A

observation equals mean

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10
Q

z score equation

A

observation - mean
/
SD

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11
Q

mean of z scores is always

A

zero

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12
Q

SD of z scores is always

A

1

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13
Q

area under a normal curve =

A

1

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14
Q

probability of observation being above mean =

A

0.5

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15
Q

68.2% of observation lie between …

A

-1 and +1 SD

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16
Q

95.4% of data falls between …

A

-2 and +2 SD

17
Q

1 z score on a normal distribution is

A

34.1% or 0.341

18
Q

normal table

A

cells show the proportion od the area under the curve that lies between the mean and a positive z score

19
Q

first column of a normal table =

A

gives z score to 1 decimal place

20
Q

how to travel a normal table

A

go down then along eg if a z score is 0.66, go down to 0.6 and then along to 0.06

21
Q

what’s does the value you find from the normal table show

A

the number of people lie between mean and the z score you used