# Answer in Statistics and Probability for Zagar #269727

Students per Teacher: The following frequency distribution shows the average number of students per teacher in the 50 states of the United States

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Answer in Statistics and Probability for Zagar #269727
Just from $13/Page Class Limit Frequency 9 – 11 1 12 – 14 17 15 – 17 13 18 – 20 8 21 – 23 2 24 – 26 1 Total 50 Determine: • Arithmetic Mean • Median • All Quartiles • D3, D5 and D7 • P37, P50, P8 x is midpoint of class, f is frequency of class then: mean = “\sum x_i f_i/n=\frac{10\cdot1+13\cdot17+16\cdot13+19\cdot8+22\cdot2+25\cdot1}{50}=13.2” median = “L+\frac{n/2-B}{G}w” where: • L is the lower class boundary of the group containing the median • n is the total number of values • B is the cumulative frequency of the groups before the median group • G is the frequency of the median group • w is the group width median group is 15-17 median = “15+\frac{25-18}{13}\cdot2=16.08” c – class width f – frequency cf – cumulative frequency for Quartiles: “Q_i” class = “(in/4)”th value of the observation in cf column “Q_i=L+\frac{(in/4)-cf}{f}u22c5c” , where i=1,2,3 “Q_1” class: Class with “(50/4)th=(12.5)th” value of the observation in cf column this class is 12-14 “Q_1=12+\frac{(50/4)-18}{17}u22c52=11.35” “Q_2” = median = “16.08” “Q_3” class: Class with “(50\cdot3/4)th=(37.5)th” value of the observation in cf column this class is 18-20 “Q_3=18+\frac{(150/4)-39}{8}u22c52=17.625” for Deciles: “D_i” class = “(in/10)”th value of the observation in cf column “D_i=L+\frac{(in/10)-cf}{f}u22c5c” , where i=1,2,3 “D_3” class: Class with “(50\cdot3/10)th=(15)th” value of the observation in cf column this class is 12-14 “D_3=12+\frac{(150/10)-18}{17}u22c52=11.65” “D_5” class: Class with “(50\cdot5/10)th=(25)th” value of the observation in cf column this class is 15-17 “D_5=15+\frac{(250/10)-31}{13}u22c52=14.08” “D_7” class: Class with “(50\cdot7/10)th=(35)th” value of the observation in cf column this class is 18-20 “D_7=18+\frac{(350/10)-39}{8}u22c52=17” for Percentiles: “P_i” class = “(in/100)”th value of the observation in cf column “P_i=L+\frac{(in/100)-cf}{f}u22c5c” , where i=1,2,3 “P_{37}” class: Class with “(50\cdot37/100)th=(18.5)th” value of the observation in cf column this class is 15-17 “P_{37}=15+\frac{(50\cdot37/10)-31}{13}u22c52=13.08” “P_{50}” class: Class with “(50\cdot50/100)th=(25)th” value of the observation in cf column this class is 15-17 “P_{50}=15+\frac{(50\cdot50/10)-31}{13}u22c52=14.08” “P_{8}” class: Class with “(50\cdot8/100)th=(4)th” value of the observation in cf column this class is 12-14 “P_{8}=12+\frac{(50\cdot8/10)-18}{17}u22c52=10.35” # 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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