2-4 Measures of Center Objectives: Students will be able to: • Compute measures of center such as mean, median, mode, midrange for a set of data. Problem (page 65, #8) The blood alcohol concentrations of a sample of drivers involved in fatal crashes and then convicted with jail sentences are given below (based on the U. S. Department of Justice). Given that current state laws prohibit driving with levels above 0.08 or 0.10, does it appear that these levels are significantly above the maximum that is allowed? 0.27 0.17 0.17 0.16 0.13 0.24 0.29 0.24 0.14 0.16 0.12 0.16 0.21 0.17 0.18 Compute the following Measures of Center Mean (Arithmetic Mean) Sum of all Values in a Data SetMeanNumber of Values=Mean of a Set of Sample Values Mean of a Population xxn=∑xNμ=∑(see notation on page 57) Median The middle value when the values of the data set are arranged in order, denoted by ±x. To compute the median: 1. Order the data from smallest to largest. 2. If the number of data values is an oddnumber, Median = Middle Data Value 3.