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EO 1 Exam Review – Second Opportunity For the following sets of data: Find the 5 number summary Find the mean and standard deviation Find the upper and lower cutoff values for outliers and identify any outliers in the data set Draw a modified box plot for the distribution 1) 45, 98, 66, 78, 56, 17, 80, 77, 68, 37, 55 2) 77, 60, 70, 94, 60, 59, 15, 58, 58, 87, 33 3) 69, 28, 12, 93, 98, 92, 24, 60, 37, 33, 37 4) 37, 66, 73, 46, 69, 14, 54, 16, 40, 38, 97 5) 80, 14, 78, 35, 33, 40, 90, 83, 78, 66, 42 6) 56, 32, 80, 16, 93, 34, 18, 58, 75, 22, 66 For the following box plots: 7) 8) 9) 10) 11) 12) Identify the shape of the distribution Identify the 5 number summary of the distribution Identify if the distribution has any outliers 13) After performing an inventory of new house prices in a particular neighborhood Taylor created to following chart. House 1 195,000 a) Find the 5 number summary for the data set. House 2 225,250 House 3 275,500 House 4 199,750 House 5 224,800 House 6 325,100 b) Find the mean and standard deviation of the data set. House 7 250,350 House 8 175,500 House 9 266,940 House 10 310,050 c) If the housing market crashes and the price of all the houses fall by House 11 215,125 25,000, what will the new mean and standard deviation be? House 12 290,350 d) Suppose that instead of all the houses loosing 25,000 in price they increase by 15% instead. Find the new mean and standard deviation? 14) The following histogram shows the amount of time members of the California High School softball team reported studying per week. a) What percentage of students reported studying at least 25 hours per week? b) What percentage of students reported studying at most 20 hours per week? c) What percentile would a softball team member be if they studied between 10 and 15 hours per week?