standard deviation
one common way
to quantify
variation among
values.
know the standard deviation formula
know the standard deviation formula
range
the difference between the largest and smallest observations in a sample
Standard deviation:
measures how far
observations tend
to be from the
mean.
Why n – 1?
You could divide
by ‘n’ if you did
not intend to
extrapolate to the
true underlying
population.n-1 is the ‘best’ estimate of the SD of the entire
population based on a sample. i.e. it will lead to
accurate inferences when calculating C.I. and P-values.
Situations in Which ‘n’ Can Seem Ambiguous
n must represent the number of independent observations. • Pseudoreplication -counting nonindependent.
SD and Sample Size
. • If sampling from the same population, samples of different sizes still tend to have the same SD. • Note: SD has same units as the mean.As you collect larger samples, you’ll quantify the variability more precisely and more accurately, but won’t change the variability.
Variance
Equals the SD squared. • Expressed in the same units as the data but squared. • Scientists analyzing data do not often report variances.