Question

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Recent results of individual games played by the Chicago Cubs are: Date Final score 5/17/2019 5/18/2019 Cubs 14, Mashington 2, Washington 6, Washington 4, Philadelphia 5 3, Philadelphia 2 8, Philadelphia 4 7, Philadelphia 9 Cubs 5/19/2019 5/20/2019 Cubs Cubs 5/21/2019 5/22/2019 Cubs Cubs 5/23/2019 Cubs Consider the random variable which is defined as the number of runs (points) the Cubs score each game. That is, for the sample above, x 14,x2 2, x3 6,. Determine the following: 1. What is n, the total number of random variables in the sample given above? Calculate and show your work for the following 2. 3. (sample mean, a measure of central tendency) 4. E(x-) 5. (x,-)2 6 2-aco (sample variance, a measure of dispersion) -1 7. svs (sample standard deviation, a measure of dispersion) 8. Take the same data and produce the graphical summary chart as calculated by Minitab (Stats> Basic Stats Graphical Summary). Print out the chart and include it with this homework assignment. Starting Problem numbers... 14 16 12 5 Section page 48 Frequency Distributions for Organizing & Summarizing Data Histograms -Graphs That Enlighten and Graphs That Deceive 20 26 18 2.1 18 55 14 16 2.2 10 11 9 10 2.3 65 10-Repeat Sec 2.3, Problem 10 with the following additional data: Year 2014 2015 4,186 4.909 5610 2016 2017 6.105 2018 S.585

Answer 1

1)
n = 7
2)
sum x_i = 14 + 2 + 6 + 4 + 3 + 8 + 7 = 44

3)
sample mean = 44/7=6.28571

4)
sum (x_i - xbar) = 0

5)
sum (xi - xbar)^2
= 97.4286

6)
s^2 = 97.4286/6 = 16.2381

7)
s = 4.0297