# Case 2 Stats.docx - 1. Joe and Mary would like to buy their...

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1.Joe and Mary would like to buy their first home in a new city. Below is the list of prices of 20 homes for sale. Prices in U.S. Dollars 1401902651152702402501801602 2402801752003101953201053852 a.Find the mean, median, mode. (2 pts) b.Which measure of central tendency best represent the data? Why? (2 pts) Mean=1/20 (105+115+140+--385) = 1/20 (4485) =224.25 Median= ½(17th+ 10th ) = ½ (201 + 240) = 240 Mode= 240 The mean uses all the values therefore all the values are used when determining the mean. c.Are there any outliers? If so, name the outlier. (2 pts) Q1= ¼(24)= 5.25= 5th+ .25(16th– 15th ) Q1= 177.5 Q3= 15.75= 15thvalue + .75(16th– 15th ) Q3= 267.5 IQR= Q3-Q1= 90 Q1+1.5IQR= 177.5 + 1.50 (90) = 42.5 Q3 + 1.5IQR = 267.5 + .5(90) = 402.5 No value out of the 42.5 < x < 402.5, no outliers. 1.The ages of students in a statistics class are listed below.
Age of students222025232730183119 451936271926334035 a.Create a stem plot (2 pts) STEmL E A F 18999 202345 6 7 7 301356 4055 b.What is the mean age of the students? (2 pts) Mean = 1/20 (564) = 28.2 1.Jenny likes to have at least a 70% average to pass her statistics class.

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