Interquartile Range Statistics Math
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The procedure to calculate the interquartile range is given as follows.
Interquartile range statistics math. From the set of data above we have an interquartile range of 3 5 a range of 9 2 7 and a standard deviation of 2 34. It is the difference between the upper quartile and the lower quartile. Interquartile range q3 q1 in the above example the lower quartile is 52 and the upper quartile is 58. Then count the given values.
The values that divide each part are called the first second and third quartiles. And they are denoted by q1 q2 and q3 respectively. Interquartile range the interquartile range iqr is a measure of variability based on dividing a data set into quartiles. If it is odd then the centre value is median otherwise obtain the mean value for two.
Median equally cuts the given values. For example if we had the data sets. If we replace the highest value of 9 with an extreme outlier of 100 then the standard deviation becomes 27 37 and the range is 98. Quartiles divide a rank ordered data set into four equal parts.
The interquartile range is the range of the middle half of a set of data. Arrange the given set of numbers into increasing or decreasing order.
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