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the median is a line drawn through the box. 4. Draw lines (or whiskers) that extend from the ends of the box a) from Q1 to Max{Minimum, Q1 IQR} b) from Q3 to Min{Maximum, Q3 + IQR} 5. Outliers are represented by appropriate symbols Belton Confidential: For training only 25 Histogram The histogram, a graphical presentation of the frequency distribution, provides a visual impression of the shape of the distribution of measurements. Xaxis : measurement scale Yaxis : frequency (or relative frequency) scale Area of each class interval’s rectangle is proportional to the frequency for that class interval. Belton Confidential: For training only 26 Histogram Example a) c) b) 01020304050 90 130 170 210 250 290C om p r e s s i ve S t r e n gt h , xFrequency, f(x)048121665 85 105 125 145 165 185 205 225 245C om p r e s s i ve S t r e n gt h , xFrequency, f(x)051015202580 100 120 140 160 180 200 220 240 260 280C om p r e s s i ve S t r e n gt h , xFrequency, f(x)Sample Size = 100 units a) Bins = 5 Width = 40 b) Bins = 9 Width = 20 c) Bins = 18 Width = 10 Belton Confidential: For training only 27 Minitab for Six Sigma ? IT is can installed the Minitab for you once your request is approved. ? Minitab is basic amp。 Use of Minitab Belton Group Rex Wong Belton Confidential: For training only 2 Statistics Statistics is the branch of science that deals with the collection, presentation, analysis amp。 Leaf Diagram Bar Chart Trend Chart Frequency Distribution Location Dispersion Shape Mean Median Mode Quartiles Range Standard Deviation Variance Interquartile Range Skewness Kurtosis Belton Confidential: For training only 11 Numerical Measures ? Describes the characteristics of the data set. ? Key numerical measures: ? measures of location (central tendency) ? measures of dispersion (variation) ? measures of shape (distribution) Belton Confidential: For training only 12 Measure of Location ? Mean (will not be discussed) ? Median (will not be discussed) ? Mode (will not be discussed) ? Quartiles Belton Confidential: For training only 13 Quartiles ? When an ordered set of data is divided into four equal parts,the