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For more lectures/playlists on various topics, visit and subscribe my YouTube channel PUAAR Academy @ / prashantpuaar #statistics #SQC #control #chart #pchart #problem #solution #free #tutorial Control Charts for Attributes i.e. for for presence or absence of any characteristic. It is based only a 'yes-or-no' type of conclusion based on whether the item complies with the specification. P - Chart, np - Chart and C - Chart are the control charts for attributes. For this purpose we need to define 'defect' in the item - i.e. a presence or absence of a particular characteristic. Then we just need to draw samples and count the number of defective units in each sample. Control Chart for Fraction Defectives' or 'Proportion of Defectives i.e. P - Chart Steps 1) Calculation of fraction defection of each of the samples. p = (No. of defective units in the sample)/(Sample size) Or p = np/n 2) Calculation of average fraction defective P(bar) = Σnp/Σn 3) Calculation of control limits UCLP = P(bar) + 3√[P (1 – P)/n] CLP = P(bar) LCLP = P(bar) – 3√[P (1 – P)/n] Problem/Case: The following figures give the number of defective units in 20 samples each containing 2000 items: 425, 430, 216, 341, 225, 322, 280, 306, 337, 305, 356, 402, 216, 264, 326, 126, 409, 193, 280, 389 Construct P-Chart and state your conclusion about the process. Probability, standard deviation, binomial distribution, normal distribution, poisson distribution, probability distribution, assignment problem in operations research, transportation problem in operations research, cpm, pert, binomial distribution in probability, chi square distribution, conditional probability, poisson distribution probability, job sequencing problem, assignment problem, northwest corner method, hungarian method for solving assignment problem, time series analysis in statistics, queuing theory in operations research, replacement problems in operations research, degeneracy in transportation problem, simulation problem in operational research, inventory model in operations research, fitting of binomial distribution, fitting of poisson distribution, pchart, cchart, npchart, mean chart, range chart, fit a binomial distribution, fit a poisson distribution, fitting of poisson distribution, fitting of binomial distribution, dual of transportation problem, duality, dual of linear programming problem, linear programming, simplex method, graphic method, graphical method, graph, odds, data science, data analysis, data mining, data management, dbms, data interpretation, reasoning, logic, coding, python, java, c, c++, c#, exponential distribution, uniform distribution, zvalue, zscore, Statistics, SQC, Statistical Quality Control, Control Chart, Control Chart for attributes, p Chart, Math, MBA, MCA, CA, CS, CPA, CMA, CWA, BBA, BCA, BCom, MCom, GRE, GMAT, Grade 11, Grade 12, Class 11, Class 12, IAS, CAIIB, FIII, IBPS, BANK PO, UPSC www.prashantpuaar.com