Homework Sourse2990 people signed up for Ironman Wisconsin in 2015 Of the 2
Solution
A)
Getting the mean, X,
X = Sum(x) / n
Sum(x) = 2559
As n = 34
Thus,
X = 75.26470588 [ANSWER, AVERAGE FINISH TIME]
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B)
Setting up tables,
x x - X (x - X)^2
9 -66.26470588 4391.011246
1 -74.26470588 5515.24654
9.5 -65.76470588 4324.99654
3 -72.26470588 5222.187716
10 -65.26470588 4259.481834
22 -53.26470588 2837.128893
10.5 -64.76470588 4194.467128
50 -25.26470588 638.3053633
11 -64.26470588 4129.952422
101 25.73529412 662.3053633
11.5 -63.76470588 4065.937716
117 41.73529412 1741.834775
12 -63.26470588 4002.42301
204 128.7352941 16572.77595
12.5 -62.76470588 3939.408304
202 126.7352941 16061.83478
13 -62.26470588 3876.893599
272 196.7352941 38704.77595
13.5 -61.76470588 3814.878893
211 135.7352941 18424.07007
14 -61.26470588 3753.364187
199 123.7352941 15310.42301
14.5 -60.76470588 3692.349481
205 129.7352941 16831.24654
15 -60.26470588 3631.834775
211 135.7352941 18424.07007
15.5 -59.76470588 3571.820069
146 70.73529412 5003.481834
16 -59.26470588 3512.305363
157 81.73529412 6680.658304
16.5 -58.76470588 3453.290657
130 54.73529412 2995.952422
17 -58.26470588 3394.775952
107 31.73529412 1007.128893
Thus, Sum(x - X)^2 = 238642.6176
Thus, as
s^2 = Sum(x - X)^2 / (n - 1)
As n = 34
s^2 = 7231.594474
Thus,
s = 85.03878218 [ANSWER, STANDARD DEVIATION]
