Statistical Analysis and Probability Applications: A Comprehensive Study Guide

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Statistical Analysis and Probability Applications: A Comprehensive Study Guide STUDY GUIDE 1. The following data represents the lengths of long distance phone calls (in minutes). 1 6 15 9 17 6 8 10 24 14 a) Find the range, sample mean, mode and median. Range: 24 - 1= 23min Sample mean: x =1+6+6+8+9+10+14+15+17+24/10= 11 min Mode= 6min Median 9+10=19/2= 9.5 min Correct b) Find the sample variance and standard deviation. S^2= 394/10 - 1=394/9= 43.77 Standard Deviation S= √ 43.77= 6.62 Population Standard Deviation 4 . 39   = 6.28 Correct 2. Suppose it is known that verbal SAT scores have a bell - shaped distribution with a mean of 500 and a standard deviation of 100. a) What percentage of verbal SAT scores are between 400 and 700?
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