First arrange the data set in ascending order.
Suppose the data set consists of n observations.
the index for the lower quartile is (n + 1)/4
and the index for the upper quartile is 3*(n + 1)/4.
Find the values that correspond to the number in these positions in the ordered list.
For example, if n = 15, then lower index = 4 and upper index = 12.
So the lower quartile is the fourth number and the upper quartile is the twelfth.
If n is large, you may skip the +1 and just look at n/4 and 3n/4.
Often the indices are not integers. Then, if you are a beginner (nd the fact that you asked this question suggests that you are), find the nearest whole numbers for the two indices. Otherwise you need to interpolate and that is a whole new ball game!
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A lower quartile i s the mediaon of the lower half of a data set. A data set is divided up into different quartiles.
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to find the mean of a set of numbers you have to find the total sum of the data divided by the number of addends in the data.
The upper quartile of a set of data is a value such that a quarter of the observations are greater than that value. The lower quartile is similarly defined as the value such that a quarter of the observations are less than that value.
It has no mode.