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##### Answer the following problems showing your work and explaining (or analyzing) your results

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Question;1.The math grades on the final exam;varied greatly. Using the scores below, how many scores were within one;standard deviation of the mean? How many scores were within two standard;deviations of the mean?;99 34 86 57 73 85 91 93 46 96 88 79;68 85 89;2.The scores for math test #3 were;normally distributed. If 15 students had a mean score of 74.8% and a standard;deviation of 7.57, how many students scored above an 85%?;3.If you know the standard;deviation, how do you find the variance?;4.To get the best deal on a stereo;system, Louis called eight appliance stores and asked for the cost of a;specific model. The prices he was quoted are listed below;$216 $135 $281 $189 $218 $193 $299;$235;Find the standard deviation.;5.A company has 70 employees whose;salaries are summarized in the frequency distribution below.;Salary;Number of Employees;5,001?10,000;8;10,001?15,000;12;15,001?20,000;20;20,001?25,000;17;25,001?30,000;13;a.Find the standard deviation.;b.Find the variance.;6. Calculate the mean and variance;of the data. Show and explain your steps. Round to the nearest tenth.;14, 16, 7, 9, 11, 13, 8, 10 7.Create a frequency distribution;table for the number of times a number was rolled on a die. (It may be helpful;to print or write out all of the numbers so none are excluded.);3, 5, 1, 6, 1, 2, 2, 6, 3, 4, 5, 1;1, 3, 4, 2, 1, 6, 5, 3, 4, 2, 1, 3, 2, 4, 6, 5, 3, 1;8.Answer the following questions;using the frequency distribution table you created in No. 7.;a.Which number(s) had the highest;frequency?;b.How many times did a number of 4;or greater get thrown?;c.How many times was an odd number;thrown?;d.How many times did a number;greater than or equal to 2 and less than or equal to 5 get thrown?;9.The wait times (in seconds) for;fast food service at two burger companies were recorded for quality assurance.;Using the data below, find the following for each sample.;a.Range;b.Standard deviation;c.Variance;Lastly, compare the two sets of;results.;Company;Wait times in seconds;Big Burger;Company 105 67 78 120 175 115 120 59;The Cheesy;Burger 133 124 200 79 101 147 118 125;10.What does it mean if a graph is;normally distributed? What percent of values fall within 1, 2, and 3, standard;deviations from the mean?

Paper#60391 | Written in 18-Jul-2015

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