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Year 1
Statistical Tests
Normal Distribution
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normal distributions have a
symmetrical
distribution
normal distributions are the
idealised perfect
distribution
two properties of a normal distribution
mean
defines the
position
,
sd
defines the
spread
68
% of all observations lies in
1SD
from the mean both ways
16
% of the data lies
outside
1SD of the mean
95
% of the data lies within
3SD
of the mean
z score
measured in term of sd from the mean
z score is how many
sd
a
value
is away from the
mean
What would be the z score for 0.83?
0.7967
z scores can be used to calculate the
proportion
of values
above
and
below
particular
values
skewness
A)
right skew
B)
left skew
2
right skews have the
tailing
end on the
right
left skews have the
tailing
end on the
left
left skews will have the
mean
to to the
left
of the
median
right skew will have the
mean
the to
right
of the
median