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Is the interquartile range or IQR is found by subtracting the mean from the maximum value of a data set?
No. The IQR is found by finding the lower quartile, then the upper quartile. You then minus the lower quartile value from the upper quartile value (hence "interquartile"). This gives you the IQR.
Who do you work out the upper and lower quartile?
you do work out the upper and lower quartile
What are characteristics of lower quartile?
25% of the observed values are smaller than the lower quartile.
Can interquartile range be used for any data eg data below the lower quartile to find if the data is spread out or close together or must we use the lower quartile for data below the lower quartile?
No, interquartile range cannot be for any data. The lower quartile for data must be used below the lower quartile.
Formula calculating lower quartile?
lower quartile = 1/4(n+1) upper quartile = 3/4(n+1) where n is the number of the values. Obviously the values have to be ordered from the lower to the higher: the number you'll get is the position in this order. Let's say you get 4 for your lower quartile, it means that the 4th value is your lower quartile.
