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MATH399_Final_Exam_Review_Solutions

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1.Determine if each of the following represents nominal, ordinal, interval, or ratio data. a.Movie ratings b.Test scores c.Colors of shirts Solution: (a) ordinal data since movie ratings have an ... order, but cannot be subtracted; (b) ratio data since there is a real zero; (c) nominal data as there is not even order to these data. 2.The following numbers represent the weights in pounds of six 7- year old children in Mrs. Jones' 2nd grade class. {25, 60, 51, 47, 49, 45} Find the mean; median; mode; range; variance; standard deviation. Solution: mean = 46.17 median = 48 mode does not exist range = 35.00 variance = 134.57 standard deviation =11.60 3.If the variance is 846, what is the standard deviation? Solution: standard deviation = square root of variance = sqrt(846) = 29.086 4.If we have the following data 34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66 Draw a stem and leaf. Discuss the shape of the distribution. Solution: 2 | 2 1 9 2 0 0 3 | 4 8 7 1 4 4 | 0 1 9 7 5 | 6 | 6 This distribution is right skewed (positively skewed) because the “tail” extends to the right. 5.What type of sampling technique is (a) a wheat field is divided into sections and a random sample of stocks are taken from each section, and (b) a manufacturer measures every 80th bottle to test for quality? [Show More]

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