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range
the arithmetic distance between the top and bottom values in a data set
range strengths
gives an indication of the reliability of the data
easier to calculate than standard deviation
range weaknesses
affected by extreme values, may not represent data set accurately
fails to take into account the distribution of the numbers
standard deviation
most sophisticated way of calculating how much each score in a data set deviates from the mean
method to calculate standard deviation
work out the mean for the data set
subtract the mean of the data set from each data point
square the result of the subtraction
add these up
divide by n-1
calculate the square root
standard deviation strengths
a precise measure of dispersion
not as affected by extreme values in the data set
standard deviation weaknesses
hides characteristics of the data like extreme values
time consuming to calculate in comparison with the range