In: Statistics and Probability
Consider the following sets of sample data:
A:
20,58920,589, 21,89921,899, 22,00022,000, 22,11222,112, 22,11322,113, 20,95520,955, 21,42321,423, 20,84520,845, 21,68321,683, 21,71521,715, 21,31521,315, 22,13322,133, 20,10320,103, 20,18220,182
B:
2.912.91, 4.074.07, 3.803.80, 4.794.79, 3.653.65, 4.444.44, 3.383.38, 4.494.49, 3.733.73, 3.113.11, 3.103.10
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Step 1 of 2 :
For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
1.
The sample size is n=14. The provided sample data along with the data required to compute the sample mean and sample variance are shown in the table below:
A | A2 | |
20589 | 423906921 | |
21899 | 479566201 | |
22000 | 484000000 | |
22112 | 488940544 | |
22113 | 488984769 | |
20955 | 439112025 | |
21423 | 458944929 | |
20845 | 434514025 | |
21683 | 470152489 | |
21715 | 471541225 | |
21315 | 454329225 | |
22133 | 489869689 | |
20103 | 404130609 | |
20182 | 407313124 | |
Sum = | 299067 | 6395305775 |
2.
The sample size is n=11. The provided sample data along with the data required to compute the sample mean and sample variance are shown in the table below:
B | B2 | |
2.91 | 8.4681 | |
4.07 | 16.5649 | |
3.80 | 14.44 | |
4.79 | 22.9441 | |
3.65 | 13.3225 | |
4.44 | 19.7136 | |
3.38 | 11.4244 | |
4.49 | 20.1601 | |
3.73 | 13.9129 | |
3.11 | 9.6721 | |
3.10 | 9.61 | |
Sum = | 41.47 | 160.233 |
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