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Case Frequency Distributions | Assignment Of Standard Deviation

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Added on  2019-09-26

Case Frequency Distributions | Assignment Of Standard Deviation

   Added on 2019-09-26

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Module 3 - CaseFrequency DistributionsCase AssignmentBy submitting this assignment, you affirm that it contains all original work, and that you are familiar with Trident University’s Academic Integrity policy in the Trident Policy Handbook. You affirm that you have not engaged in direct duplication, copy/pasting, sharing assignments, collaboration with others, contract cheating and/or obtaining answersonline, paraphrasing, or submitting/facilitating the submission of prior work. Work found to be unoriginal and in violation of this policy is subject to consequences such as a failing grade on the assignment, a failing grade in the course, and/or elevated academic sanctions. You affirm that the assignment was completed individually, and all work presented is your own.Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible.Answer the following problems showing your work and explaining (or analyzing) your results.Submit your work in a typed Microsoft Word document.1.The final exam scores listed below are from one section of MATH 200. How many scores were within one standard deviation of the mean? How many scores were within two standard deviations of the mean?993486577385 919346 968879 688589Solution:The calculation of mean, standard deviation, mean value minus one standard deviation, mean plus one standard deviation, mean minus two standard deviation, and mean plus two standard deviation is as shown below:Therefore, there are eleven values which were within one standard deviation of the mean and there were fourteen values which were within two standard deviation of the mean.
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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%?Solution:Consider that student score is represented by X. The calculation of number of students that scored more than 85% is as follows:Firstly calculate the Z score:85 74.87.571.34XZThe corresponding probability is 0.9099. Therefore, the scores more than 85% will have probability1 0.9099 0.0901Hence, the number of students that scored more than 85% is:0.09010 15 1.35Or approximately 1 student will score 85% or more.3.If you know the standard deviation, how do you find the variance?Solution: If standard deviation is known then we can find variance by squaring the standard deviation.4.To get the best deal on a stereo system, Louis called8 out of 20 appliance stores in his neighborhood and asked for the cost of a specific model. The prices he was quoted are listed below:$216$135$281$189$218$193$299$235Find the standard deviation.Solution: The calculation of standard deviation in Excel is as shown below:
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Therefore the standard deviation is 52.26.5.A company has 70 employees whose salaries are summarized in the frequency distribution below.SalaryNumber of Employees5,001–10,000810,001–15,0001215,001–20,0002020,001–25,0001725,001–30,00013a.Find the standard deviation.Solution:The calculation of Standard Deviation in Excel is as shown below:b.Find the variance.Solution: The variance is the square of the standard deviation calculated as shown below:
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