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Lower Quartile (Q1): the number that divides the lower half of the
data into two equal halves.
For example, given this data:
25, 26, 27, 28, 29, 30, 40, 41, 42
The Median is 29. Now, you need to find the lower quartile. You want to look at all the data that is below the median, so:
25, 26, 27, 28,
The median splits the data into two groups. Find the median of the lower group, which is 26.5 ((26+27)/2). The lower quartile is 26.5
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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.
What is the interquartile range equal to?
It is the upper quartile minus the lower quartile.
