![]() Five-number summary, median, outlier : this page updated 15-jul-23 Mathwords: Terms and Formulas from Algebra I to Calculus. ![]() This is one way to describe the spread of a set of data. The data and the interquartile range are displayed on the dot plot below. Interquartile Range IQR The difference between the first quartile and third quartile of a set of data. The median is the mean of the two central values, 18.7 and 18.8. The IQR can be used to identify the outliers in a dataset, as it measures the distance between the two quartiles. It is calculated by subtracting the 25th percentile from the 75th percentile, and then dividing the result by 3. It is recommended that a graph of the distribution is used to check the appropriateness of the interquartile range as a measure of spread and to emphasise its meaning as a feature of the distribution. Interquartile Range (IQR) is a measure of statistical dispersion, which is used to indicate the variability of a dataset. The interquartile range is more useful as a measure of spread than the range because of this stability. The interquartile range is a stable measure of spread in that it is not influenced by unusually large or unusually small values. It is recommended that, for small data sets, this measure of spread is calculated by sorting the values into order or displaying them on a suitable plot and then counting values to find the quartiles, and to use software for large data sets. It is calculated as the difference between the upper quartile and lower quartile of a distribution. A measure of spread for a distribution of a numerical variable which is the width of an interval that contains the middle 50% (approximately) of the values in the distribution.
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