By Bhisham C. Gupta
This ebook is a table reference for 6 Sigma eco-friendly belts or novices who're no longer acquainted with information. As Six Sigma crew individuals, eco-friendly belts may help decide upon, acquire info for, and support with the translation of numerous statistical or quantitative instruments in the context of the Six Sigma method. This booklet will function an outstanding educational device constructing a powerful realizing of simple facts together with tips on how to describe facts either graphically and numerically. It’s particular concentration is on recommendations, functions, and interpretations of the statistical instruments used in the course of, and as a part of, the layout, degree, study, enhance, and keep an eye on (DMAIC) technique. in contrast to such a lot books for 6 Sigma novices, this publication is not only an evidence of Six Sigma, it bargains genuine instruments and theories to aid practitioners higher comprehend and practice their jobs in accumulating and examining information. Readers utilizing this e-book will discover ways to comprehend the advantages of information as an aim degree, in addition to the method of utilizing chosen instruments for studying info and the way to make judgements in response to quantitative inputs.
record of Figures
checklist of Tables
desk of Contents
1. environment the Context for 6 Sigma
2. Getting all started with records
three. Describing facts Graphically
four. Describing information Numerically
6. Discrete Random Variables and Their likelihood Distributions
7. non-stop Random Variables and Their chance Distributions
eight. Sampling Distributions
nine. aspect and period Estimation
10. speculation checking out
eleven. laptop assets to aid utilized information: utilizing MINITAB® and JMP® Statistical software program
in regards to the Authors
Contents of CD-ROM
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Extra resources for Applied Statistics for the Six Sigma Green Belt
10 The following data give the length (in millimeters) of material chips removed during a machining operation: 4, 2, 5, 1, 3, 6, 2, 4, 3, 5 Calculate the variance and the standard deviation for the data. Solution: There are three simple steps involved in calculating the variance of any data set. Step 1. Calculate ⌺xi, the sum of all the data values. Thus we have ⌺xi ϭ 4 ϩ 2 ϩ 5 ϩ 1 ϩ 3 ϩ 6 ϩ 2 ϩ 4 ϩ 3 ϩ 5 ϭ 35 2 Step 2. Calculate ∑ X i , the sum of squares of all the observations, that is, ∑ X i2 ϭ 42 ϩ 22 ϩ 52 ϩ 12 ϩ 32 ϩ 62 ϩ 22 ϩ 42 ϩ 32 ϩ 52 ϭ 145 Step 3.
5, it is obvious that the mean of these data has been adversely affected by the extreme values. Since the mean does not adequately represent the measure of centrality of the data set, the median would more accurately identify center locations of the data for this example. Furthermore, if we replace the extreme values of 250 and 300, for example, with 25 and 30, the median will not change, although the mean becomes $16,937. The new data obtained by replacing 250 and 300 with 25 and 30 did not contain any extreme values.
Each bar should be of the same width and there should not be any gap between bars. RELATED TOOLS Frequency polygon, stem and leaf diagram. 4 Histograms and Related Graphs Histograms are popular graphs used to represent quantitative data graphically. Histograms usually provide us useful information about a data set, for example, information about trends, patterns, location/center of the data, and dispersion of the data. Such information is not particularly apparent from raw data. Construction of a histogram involves two major steps: Step 1 Prepare a frequency distribution table for the given data.