Two samples are given Find each sample\'s standard deviation and coefficient of

Question

Two samples are given Find each sample's standard deviation and coefficient of variation Then decide which sample has higher dispersion and which sample has the higher relative dispersion. 8, 2, 2, 2, 6 10, 3, 10, 4.4 3.6 What are the sample standard deviations? S_A = (Do not round until final answer Then round to the nearest hundredth as needed) s_B = (Do not round until final answer Then round to the nearest hundredth as needed) What are the sample coefficients of variation? V_A = (Round the final answer to the nearest tenth as needed. Round all intermediate values to the nearest thousandth as needed) V_B = (Round the answer to nearest tenth as needed. Round all intermediate values to the nearest thousand as needed) Which sample has the higher dispersion? samples have equal dispersions sample A sample Which sample has the higher relative dispersion? sample A the samples have equal relative dispersion sample B

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

Hence,

a) sA = 2.83

sB = 3.09

b) VA = 70.7

VB = 54.1

c) Sample B; Option C

d) Sample A; Option A

Column Std. dev. Coef. of var. A 2.8284271 70.710678 B 3.0937725 54.14102

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