The ages of a random sample of people who attended a recent soccer match are as...

The ages of a random sample of people who attended a recent soccer match are as follows:

23 35 14 37 38 15 45

12 40 27 13 18 19 23

37 20 29 49 40 65 53

18 17 23 27 29 31 42

35 38 22 20 15 17 21

a. Find the mean age.

b. Find the standard deviation.

c. Find the coefficient of variation.

Solutions

Expert Solution

a. Mean is

b. Create the following table.

data	data-mean	(data - mean)²
23	-5.7714	33.30905796
35	6.2286	38.79545796
14	-14.7714	218.19425796
37	8.2286	67.70985796
38	9.2286	85.16705796
15	-13.7714	189.65145796
45	16.2286	263.36745796
12	-16.7714	281.27985796
40	11.2286	126.08145796
27	-1.7714	3.13785796
13	-15.7714	248.73705796
18	-10.7714	116.02305796
19	-9.7714	95.48025796
23	-5.7714	33.30905796
37	8.2286	67.70985796
20	-8.7714	76.93745796
29	0.2286	0.05225796
49	20.2286	409.19625796
40	11.2286	126.08145796
65	36.2286	1312.51145796
53	24.2286	587.02505796
18	-10.7714	116.02305796
17	-11.7714	138.56585796
23	-5.7714	33.30905796
27	-1.7714	3.13785796
29	0.2286	0.05225796
31	2.2286	4.96665796
42	13.2286	174.99585796
35	6.2286	38.79545796
38	9.2286	85.16705796
22	-6.7714	45.85185796
20	-8.7714	76.93745796
15	-13.7714	189.65145796
17	-11.7714	138.56585796
21	-7.7714	60.39465796

Find the sum of numbers in the last column to get.

So standard deviation is

c. Coefficient of variation is

milcah answered 7 months ago

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