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## Box diagram

##### by yudaica2013 ·

Visual presentation describing the same time several important features of a dataset, such as the center, dispersion, removal of symmetry, and the identification of outliers (atypical points), ie values that are far from an unusual way the rest of the data. Presents the three quartiles (and minimum and maximum values) aligned on a vertical or horizontal box … Procedure For the diagram of boxes and whiskers are required 1.Calcular the median and two quartiles, with which form the box, which has as a central median, and quartiles as the two sides. These quartiles are also given the names of “hinges”. The height (width) of the case does not matter. 2. The distance H is defined as the distance between the upper quartile and lower quartile, ie intecuart lico corresponds to the range H Q3 – Q1 RIC. 3.The step corresponding to 1.5 times the distance Step 1.5 H 4. Internal Fences located one step away from the hinges or the respective quartiles. Thus, the lower internal Fences (CII) and Superior (CIs) are given by: IIC Q1 – Q3 Step PasoCIs If the internal near bottom into less than the minimum value of the sample, it becomes equal to the minimum value equally, if the fence gives greater than greater than the maximum, it becomes equal to that value. 5. External Fences located within walking internal fences.Thus, the lower external Fences (CIS) and Superior (CEs) are given by: CEI CII – PASOC CI Paso. 6. They are called “adjacent values” located between the internal fences and the edges of the boxes. Not plotted for simplicity. 7. “Outliers” are located between the two fences, and deserves special attention, because they may be outliers, which in some cases not really belong to the general distribution of where data comes from. 8.