Which statistic is not resistant to an outlier in the data? A) Lower quartile B) Upper quartile C) Median D) Mean
The quartile deviation or semi-interquartile range is defined as half the IQR. Algorithm . The IQR of a set of values is calculated as the difference between the upper and lower quartiles Q 3 and Q 1. Each quartile is a median calculated as follows. Given an even 2n or odd 2n+1 number of values first quartile Q 1 = median of the n smallest values
If there is an even number of data points in the original ordered data set split this data set exactly in half. The lower quartile value is the median of the lower half of the data . The upper quartile value is the median of the upper half of the data . This rule is employed by the TI-83 calculator boxplot and "1-Var Stats" functions. Method 2
Quartile - Wikipedia
Quartile - Wikipedia
Statistical dispersion - Wikipedia
In various domains such as but not limited to statistics signal processing finance econometrics manufacturing networking and data mining the task of anomaly detection may take other approaches. Some of these may be distance-based and density-based such as Local Outlier Factor (LOF). Some approaches may use the distance to the k-nearest neighbors to label observations as outliers or non ...
the upper quartile or third quartile ; the sample maximum (largest observation) In addition to the median of a single set of data there are two related statistics called the upper and lower quartiles. If data are placed in order then the lower quartile is central to the lower half of the data and the upper quartile is central to the upper half ...
So the median absolute deviation for this data is 1. Uses. The median absolute deviation is a measure of statistical dispersion. Moreover the MAD is a robust statistic being more resilient to outliers in a data set than the sta...
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