# Answer in Statistics and Probability for rasha #252571

The following data represent the time (in minutes) recorded for a sample of 20 employees in order to get to work using public transportation. 28 29 32 37 33 25 29 32 41 34 29 31 33 32 34 30 31 32 35 33 1) Does the sample contain any extreme values? Justify your answer with a suitable test. Comment on the results 2) According to your conclusion in part (1), calculate the best central and the best absolute dispersion measure. 3) Comment on the results obtained in part (2). 4) Without any calculation, if all values are multiplied by 10 minutes, will the location measures and outlier existence be the same? Justify your answer.

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Answer in Statistics and Probability for rasha #252571
Just from $13/Page Least to Greatest Values: 25, 28, 29, 29, 29, 30, 31, 31, 32, 32, 32, 32, 33, 33, 33, 34, 34, 35, 37, 41 1) extreme values bounds: high = “Q_3+1.5IQR” low = “Q_1-1.5IQR” Q1=((n+1)/4)th value of the observation =(21/4)th value of the observation =(5.25)th value of the observation =5th observation +0.25[6th-5th] =29+0.25[30-29] =29.25 Q3=(3(n+1)/4)th value of the observation =(3⋅21/4)th value of the observation =(15.75)th value of the observation =15th observation +0.75[16th-15th] =33+0.75[34-33] =33.75 “IQR=Q_3-Q_1=33.75-29.25=4.5” “Q_3+1.5IQR=33.75+1.5\cdot4.5=40.5” “Q_1-1.5IQR=29.25-1.5\cdot4.5=22.5” so, extreme value is 41 2) best central tendency measure is mean: “\mu=\sum x_i/n=32” best absolute dispersion measure is sample standard deviation: “s=\sqrt{\frac{\sum (x_i-\mu)^2}{n-1}}=3.43” 3) 8 values are less than the mean, 4 values are equal to the mean, 8 values more than the mean 16 values are in the interval of one standard deviation from the mean: “\mu \pm s” 4) if all values are multiplied by 10, then: “\mu_1=\sum 10x_i/n=10\sum x_i/n=10\mu =320” mean increases by 10 times “s_1=\sqrt{\frac{\sum (10x_i-10\mu)^2}{n-1}}=10\sqrt{\frac{\sum (x_i-\mu)^2}{n-1}}=10s=34.3” standard deviation increases by 10 times # What Will You Get? We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines. #### Premium Quality Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments. #### Experienced Writers Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals. #### On-Time Delivery Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time. #### 24/7 Customer Support Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern. #### Complete Confidentiality Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret. #### Authentic Sources We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources. #### Moneyback Guarantee Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing. #### Order Tracking You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step. #### Areas of Expertise Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types. # Trusted Partner of 9650+ Students for Writing From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade. ##### Preferred Writer Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen. ##### Grammar Check Report Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document. ##### One Page Summary You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary. ##### Plagiarism Report You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work. ## Free Features$66FREE

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