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# Quantitative Reasoning MATH 106

Mason

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This 2 page Class Notes was uploaded by Michale Kuhlman on Monday September 28, 2015. The Class Notes belongs to MATH 106 at George Mason University taught by Staff in Fall. Since its upload, it has received 8 views. For similar materials see /class/215011/math-106-george-mason-university in Mathematics (M) at George Mason University.

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Date Created: 09/28/15

Mathematics 106 Chapter 12 Questions from old tests Name Fall 2008 Use of a calculator is permitted Round all nal answers to two decimal places do your work to at least 3 decimal places 1 N E The Alumni Office at Enterprise College recently sent a survey to its 200 most recent graduates along with requests for donations to the Annual Fund The survey asked the graduates to mail in their responses to a questionnaire which asked among other things their opinions of the value of their college degrees in the job market using a scale of 175 with 1 indicating no value Thirtytwo of the 200 graduates surveyed returned the surveys The data collected were as follows two graduates rated the usefulness of their degrees as 1 seven rated them as 2 eight rated them as 3 fourteen rated them as 4 and one rated her degree as 5 a The mode rating of the value of the degree by the graduates was b Use a weighted mean to calculate the average rating of the value of the degree c What are two possible sources of bias in this survey and its results Calculate the mean and sample stande deviation for the following set of 6 data points 15 l 01 35 4 Nine students recorded their total number of cups of coffee in the 24 hours before a test The reported numbers were 10 2 2 3 l 5 0 0 4 cups of coiTee Use this information for parts ag below a Give the 5number summary using set notation b Draw a boxandwhiskers plot of the reported numbers of cups of coiTee c What is the mode number of cups of coffee d What is the mean number of cups of coffee e Is this data skewed If so indicate rightleft Brie y explain your answer f Identify i The Range of the cups of coffee ii The Interquartile Range IQR of the cups of coffee g Identify all outliers if there are any Justify your response mathematically 4 The scores of 13 students on a recent psychology exam were as follows 84 57 72 65 100 81 73 89 68 96 20 78 81 a Create a stem and leaf plot of the data in the space below b Construct a histogram and a frequency polygon of these scores in the graph paper below using classes of size 10 5 In one part of Franklin County the average home cost is 453000 with a standard deViation of 40000 Assume that the prices of homes are closely approximated by a normal curve and answer the following questions Use the table on page 720 of your book as necessary to answer these questions a What is the zscore ofa home that costs 417000 b What percent of homes costs more than 481000 c What percent ofhomes costs between 413000 and 453000 d What percent ofhomes costs less than 413000 e What is the cost of a home with a z score of 12 CD If the size of one standard deViation were 50000 would you expect to see more homes or fewer homes priced above 550000 than with a standard deViation of 40000 Explain

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