Solved: Suppose that we have a sample x1, x2, p , xn and we have calculated and for the

Chapter 6, Problem 6-94

(choose chapter or problem)

Suppose that we have a sample x1, x2, p , xn and we have calculated and for the sample. Now an (n 1)st observation becomes available. Let and be the sample mean and sample variance for the sample using all n 1 observations. (a) Show how can be computed using and xn1. (b) Show that (c) Use the results of parts (a) and (b) to calculate the new sample average and standard deviation for the data of Exercise 6-22, when the new observation is .

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