Definition of 'outlier' as used in statistics. One definition of outlier is any data point more than 1.5 interquartile ranges (IQRs) below the first quartile or above the third quartile.. Outlier. Determining Outliers . Oo; outlier • a value far away from most of the rest in a set of data. Outlier. For example, the point on the far left in the above figure is an outlier. An outlier is a number in a data set that is much smaller or larger than the other numbers in the data set. EXAMPLE: In statistics, an outlier is a data point that significantly differs from the other data points in a sample. One needs to calculate median, quartiles, including IQR, Q1, and Q3. As you can see in the figure above, most of the data points cluster around the straight line fairly closely. The outlier formula is represented as follows, The Formula for Q1 = ¼ (n + 1) th term The Formula for Q3 = ¾ (n + 1) th term The Formula for Q2 = Q3 – Q1. Often, outliers in a data set can alert statisticians to experimental abnormalities or errors in the measurements taken, which may cause them to omit the outliers from the data set. Outlier definition is - a person whose residence and place of business are at a distance. Math Open Reference. That is, outliers are values unusually far from the middle. 90,86,15,86,92 15 would be an outlier in this data set. If we subtract 1.5 x IQR from the first quartile, any data values that are less than this number are considered outliers. Math Homework. Measurement error, experiment error, and chance are common sources of outliers. Home; Outliers An outlier is a value in a data set that is very different from the other values. A data point that is distinctly separate from the rest of the data. A convenient definition of an outlier is a point which falls more than 1.5 times the interquartile range above the third quartile or below the first quartile. Said differently, low outliers shall lie below Q1-1.5 IQRand high outliers shall lie Q3+1.5IQR. In most cases, outliers have influence on mean , but not on the median , or mode . home / study / math / statistics and probability / statistics and probability definitions / outlier Outlier If there are any extremely high or low values in the given data set when compared to other values then such values are termed as outliers. Note: The IQR definition given here is widely used but is not the last word in determining whether a given number is an outlier. How to use outlier in a sentence. Outliers are often easy to spot in histograms. Home Contact About Subject Index. An outlier is a number in a data set that is much smaller or larger than the other numbers in the data set. Transcript Welcome to MooMooMath where we upload a new Math video everyday. An outlier is any value that is numerically distant from most of the other data points in a set of data. 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