![]() ![]() Values that lie farther than 1.5 times the IQR away from either end of the IQR (Q1 or Q3) are considered outliers, as shown in the figure below:Īnything outside the above range of values is an outlier. The IQR can be used to find outliers (values in the set that lie significantly outside the expected value). IQR = 37.5 - 7.5 = 30 Using the IQR to find outliers Thus, the interquartile range can be calculated as: ![]() Measures of spread such as the range and the interquartile range can be. Averaging the terms in those positions yields Q1 and Q3: The range from Quartile 1 to Quartile 3: Q3 Q1 (Quartiles are the values that divide a list of numbers into quarters. In statistics there are three types of average: the mean, the median and the mode. ![]() Thus, Q1 lies between the 3rd and 4th element in the set, and Q3 lies between the 9th and 10th elements. The decimal values indicate that the quartile lies between the elements closest to the value. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. Where n is the number of terms in the set. The Interquartile Range (IQR) formula is a measure of the middle 50 of a data set. The following formulas can be used to determine the position of the quartiles in the set Given a set of data ordered from smallest to largest, It can also be used to find outliers in a set of data. has many outliers) because it excludes extreme values. It also measures variation in cases of skewed data distribution. The IQR is particularly useful when data is contaminated (e.g. The interquartile range (IQR) identifies and eliminates the deviations from both ends of a data series. Thus, the IQR is comprised of the middle 50% of the data, and is therefore also referred to as the midspread, or middle 50%. It is equal to the difference between the 75th and 25th percentiles, referred to as the third (Q3) and first quartiles (Q1), respectively. In statistics, the interquartile range (IQR) is a measure of how spread out the data is. MathTeacherGon will demonstrate the use of the formula in calculating the interquartile range in a given data set.Interquartile Range Upper Quartile - Low. Home / probability and statistics / descriptive statistics / interquartile range Interquartile range ![]()
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