Normal distribution and standardisation Flashcards
lower SD means
more consistent
if there is an error how do you report it
missing value
reasons to transform data
scale eg units
standardise eg by sex
what happens to the mean and SD when adding or subtracting constant numbers to each value in a data set
changes mean by amount added or subtracted
SD remains the same
when multiplying or dividing to a scale …
mean and SD increases or decreases by the proportion its being multiplied or divided by
Z score
number of SD an observation is from the mean
positive z score =
observation above the mean
negative z score =
observation lower than mean
zero z score =
observation equals mean
z score equation
observation - mean
/
SD
mean of z scores is always
zero
SD of z scores is always
1
area under a normal curve =
1
probability of observation being above mean =
0.5
68.2% of observation lie between …
-1 and +1 SD