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The interquartile range is the difference between the Lower quartile and the upper quartile. Obviously you need to be able to find these values.
Haylock (2006) explains how to do this for difficult size groups in mathematics explained for primary teachers.
He explains the position of the lower quartile is a quarter of (n+1) and that of the upper quartile is three-quarters of (n+1).
So for a group of 7 numbers, you find a quarter of 8, which is 2. Therefore the number in second place is the lower quartile. Three quarters of 8 is 6 and so the number in 6th position is the upper quartile.
Now take the lower quartile from the upper quartile.
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How do you find the interquartile range of a data?
The Inter-quartile range is the range of the middle half of the data. It is the difference between the upper and lower quartile.Example: 35,80,100 110,120,120,170,180.The Inter-quartile range would be 145-90 or 55To find the interquartile range, you:1) Arrange the data in numerical order.2) Then find the median of the data sets.3) Find the median of the top half and bottom half. (of the set of numbers)4) The groups you now have are "quartiles"5) Find the interquartile range. (subtract the smaller range from the range)
What is the semi interquartile range?
The semi interquartile range is a measure for spread or dispersion. To find it you have to subtract the first quartile from Q3 and divide that by 2, (Q3 - Q1)/2
What is best Interquartile range or Median absolute deviation?
The answer depends on the purpose. The interquartile range and the median absolute deviation are both measures of spread. The IQR is quick and easy to find whereas the MAD is not.
What is the interquartile range in these numbers 93 92 89 85 82 80 77 74 71 63?
It is 18.
How is interquartile range calculated?
Find the difference between the values for quartile 3 and quartile 1.
