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The interquartile range (IQR) is a measure of spread in statistics. The observations (data) are arranged in order of magnitude - usually smallest to largest.

Suppose there are n observations. Then calculate (n+1)/4 and round it to m, say. For large n (>30) don't bother with the +1 Then find the values of the observations is positions m and 3m. [That last sentence would be so much simpler if this crap browser allowed superscripts but mth and 3mth is confusing!] The number in position m is called the "Lower Quartile" and a quarter of the observations are smaller than it is. The number in position 3m is called the "Upper Quartile" and a quarter of the observations are greater than it is. The difference between the two values (not m and 3m but the values of the observations in those positions) is the IQR.


Since a quarter of the observations are smaller than the LQ and a quarter are larger than the UQ, the IQR contains the middle half of all observations.


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Q: What is the interquartile range in math?
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Related questions

What is the meaing of interquartile range in math?

The interquartile range of a set of data is the difference between the upper quartile and lower quartile.


What is the interquartile range of 16171922232527363840404546?

what is the interquartile range of 16,17,19,22,23,25,27,36,38,40,40,45,46


Does there have to be an interquartile in math?

Yes, there does.


Why is the interquartile range a more appropriate measure for spread than the range?

the interquartile range is not sensitive to outliers.


What is considered measures of variabilty is it mean interquartile range or mean absolute deviation?

interquartile range or mean absolute deviation.


Does a box plot represent an interquartile range?

If presents you with the upper and lower quartile range, although you have to do calculations in order to find the interquartile range, so no, it does not,


What does interquartile range mean?

The interquartile range is the upper quartile (75th percentile) minus (-) the lower percentile (75th percentile). The interquartile range uses 50% of the data. It is a measure of the "central tendency" just like the standard deviation. A small interquartile range means that most of the values lie close to each other.


What is unaffected by outliers?

interquartile range


Is it possible for interquartile range to be zero?

Yes, it is.


How do you find the interquartile range in a set of data?

how do you find the interquartile range of this data


Does an outlier have a greater effect on the standard deviation or interquartile range?

On the standard deviation. It has no effect on the IQR.


What includes the range and the interquartile range?

Both are measures of spread or dispersion.