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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 a measure of the spread of a set of data?
The standard deviation is the value most used. Others are variance, interquartile range, or range.
What does interquartile range do?
It is a measure of the spread of a set of observations. It is easy to calculate and is not distorted by extreme values (or mistakes). On the other hand it does not use all of the information contained in the data set.
When might the inter-quartile range be better for describing a data set than the range?
The interquartile range can be more useful when the first and fourth quartiles contain very little data, in other words there are only a very few high or low data points.
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.
