How To Calculate Interquartile Range. The interquartile range is the range of the middle 50 of the data. Simply remove the first quartile from the third one. The interquartile range IQR is a measure of variability based on dividing a data set into quartiles. The interquartile range IQR typically demonstrates the middle 50 of a data set.
The median divides the data set in exactly two equal halves but it does not tell us anything about the spread of the data on either side. Mathematically it is obtained when the 1st quartile is subtracted from the 3rd quartile. Review of how to calculate the range and interquartile range why we could calculate them and how we can interpret data when given them. The interquartile range can be calculated using the following formula. To find the interquartile range IQR we simply subtract Q1 from Q3. IQR is otherwise called as midspread or middle fifty.
So Interquartile Range 10 Explanation.
Now in order to calculate the IQR we need to first calculate the two quartile values Q1 and Q3. Where Q3 Third quartile 75th percentile Q1 First quartile 25th percentile. This tells us how spread out the middle 50 of the values are in this particular dataset. To find the interquartile range IQR we simply subtract Q1 from Q3. In order to calculate it you need to first arrange your data points in order from lowest to greatest then identify your 1 st and 3 rd quartile positions by using the iqr formula N14 and 3 N14 respectively where N represents the number of points in the data set. Formula for Interquartile Range.