MATH 114 Project 1.docx - MATH 114 ROGER L BOSTON PROJECT 1...

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MATH 114 R OGER L. B OSTON P ROJECT 1 1. Each of the following 5 data sets has a mean close to 100, and a standard deviation in the 20s. Assume that each of these are sample data sets. For each of the 5 data sets given below, use the Excel function “=stdev.s” (or technology) to find the actual sample standard deviation (10 points), compute the estimate given by the Range Rule of Thumb (RROT) Estimate (10 points), and compute the percentage error of the estimate (10 points). The formula for the RROT estimate is RROT estimate = Range/4 (where the range = maximum value – minimum value), on the assumption that the Standard Deviation RROT estimate. The formula used to find the percentage error of the estimate is: % Error = | RROT Estimate – Standard deviation | / Standard Deviation × 100%. a. Data Set 1: No outliers 77 77 77 77 77 123 123 123 123 123

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