Measurement error, experiment error, and chance are common sources of outliers. An outlier is any value that is numerically distant from most of the other data points in a set of data. One definition of outlier is any data point more than 1.5 interquartile ranges (IQRs) below the first quartile or above the third quartile.. Definition of 'outlier' as used in statistics. 90,86,15,86,92 15 would be an outlier in this data set. For example, the point on the far left in the above figure is an outlier. 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. Oo; outlier • a value far away from most of the rest in a set of data. That is, outliers are values unusually far from the middle. Home Contact About Subject Index. Outlier. 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. Multiplying the interquartile range (IQR) by 1.5 will give us a way to determine whether a certain value is an outlier. If we subtract 1.5 x IQR from the first quartile, any data values that are less than this number are considered 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. 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. Math Open Reference. As you can see in the figure above, most of the data points cluster around the straight line fairly closely. In most cases, outliers have influence on mean , but not on the median , or mode . An outlier is a number in a data set that is much smaller or larger than the other numbers in the data set. A value in a data set that lies far outside of a pattern they establish. Determining Outliers . One needs to calculate median, quartiles, including IQR, Q1, and Q3. EXAMPLE: How to use outlier in a sentence. Do It Faster, Learn It Better. 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. An outlier is a number in a data set that is much smaller or larger than the other numbers in the data set. Math Homework. Transcript Welcome to MooMooMath where we upload a new Math video everyday. Said differently, low outliers shall lie below Q1-1.5 IQRand high outliers shall lie Q3+1.5IQR. Outliers are often easy to spot in histograms. In statistics, an outlier is a data point that significantly differs from the other data points in a sample. 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