ANSWERS MUST BE ORIGINAL ANF MUST NOT BECOPIED FROM ANY OTHER ASSIGNMENTS.FREQUENCY DISTRIBUTIONSCase AssignmentProblems need to include all required steps and answer(s) for full credit. All answers need to bereduced to lowest terms where possible.Answer the following problems showing your work and explaining (or analyzing) your results.1. The final exam scores listed below are from one section of MATH 200. How many scoreswere within one standard deviation of the mean? How many scores were within twostandard deviations of the mean?99 34 86 57 73 8591 93 4696 88 7968 85 892. The scores for math test #3 were normally distributed. If 15 students had a mean score of74.8% 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 8 out of 20 appliance stores in hisneighborhood and asked for the cost of a specific model. The prices he was quoted arelisted below:$216 $135 $281 $189 $218 $193 $299 $235Find the standard deviation.5. A company has 70 employees whose salaries are summarized in the frequency distributionbelow.SalaryNumber of Employees5,001â10,000810,001â15,0001215,001â20,0002020,001â25,0001725,001â30,00013a. Find the standard deviation.b. Find the variance.6. Calculate the mean and variance of the sample data set provided below. Show and explain yoursteps. Round to the nearest tenth.14, 16, 7, 9, 11, 13, 8, 107. 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, 18.a.b.c.d.9.a.b.c.Answer the following questions using the frequency distribution table you created in No. 7.Which number(s) had the highest frequency?How many times did a number of 4 or greater get thrown?How many times was an odd number thrown?How many times did a number greater than or equal to 2 and less than or equal to 5 getthrown?The wait times (in seconds) for fast food service at two burger companies were recorded forquality assurance. Using the data below, find the following for each sample.RangeStandard deviationVarianceLastly, compare the two sets of results.CompanyWait times in secondsBig BurgerCompany105The Cheesy Burger133 124 2006778 120 175 115 1205979 101 147 118 12510. 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?Submit your work by the module due date. If you are having difficulty, please contact your professor.

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