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learn.hawkeslearning.com/Portal/Test/test-taketest#! Log in to Canvas?Sign ln LoLA-Log OnLouis b bmit Assignment Quiz #2 C31L Ltd Standard- () Hamilton Academy O Instruct onal Resour Question 2 of 10 Step 1 of 2 Consider the following sets of sample data: A: 20.529, 22081.21.454. 21,449, 21,801.21.892. 20,91 3. 20075, 21,694. 21.68 L 21416. 21,829, 21,013, 22,053 B: 4.02. 4.71, 3.87,4.57.4.29,4.49.3.23. 2.94, 4.41.3.07. 3.23 Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation. CV. Round to one decimal place. Answer(how to Enter) 2 Points CV for Data Set A ev CV for Data Set B 018 Hawies Leaming rch

Explanation / Answer

CV for a sample is given by (s/x) * 100

where x is the sample mean and s is the sample standard deviation

For Sample A:

Mean , x = (20.529+22.081+.....+22.053)/14 = 21.42

Variance = { (20.529-21.42)^2 + (22.081-21.42)^2 + ...... + (22.053-21.42)^2 }/{14-1} = 0.350

Standard Deviation = sqrt(Variance) = sqrt(0.350) = 0.591

For Sample B:

Mean , x = (4.02+4.71+......+3.23)/11 = 3.894

Variance = { (4.02-3.894)^2 + (4.71-3.894)^2 + ...... + (3.23-3.894)^2 }/{11-1} = 0.439

Standard Deviation = sqrt(Variance) = sqrt(0.439) = 0.662

Calculation of CV-

CV for A = 2.76%

CV for B = 17.014%

Let me know if you need anything else, if not please don't forget to like the answer :)

Mean , x 21.420 3.894 Variance 0.350 0.439 SD, s 0.591 0.662 s/x 0.028 0.170 100*(s/x) 2.760 17.014

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