The linked figure shows histograms for three different samples, each with sample size n = 100. a. Which sample has the (i) largest and (ii) smallest standard deviation? b. To which sample(s) is the empirical rule relevant? Why? Click the icon to view the figure.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 84RE
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Transcribed Image Text:1 2 3 4 5 6 (a) 7 8 9 1 2 3 4 5 6 (b) 7 8 9 Ⓒ 1 2 3 4 5 (c
The linked figure shows histograms for three different samples, each with sample size n = 100.
a. Which sample has the (i) largest and (ii) smallest standard deviation?
b. To which sample(s) is the empirical rule relevant? Why?
i Click the icon to view the figure.
a. Which sample has the (i) largest and (ii) smallest standard deviation?
A. Sample (a) has the largest standard deviation because it is the most bell shaped and sample (b) has the smallest standard deviation because it is the least bell shaped.
B. Sample (a) has the largest standard deviation because it is the most bell shaped and sample (c) has the smallest standard deviation because it is the least bell shaped.
C. Sample (c) has the largest standard deviation because it has the highest typical distance from the mean and sample (b) has the smallest standard deviation because it has the lowest typical
distance from the mean.
D. Sample (c) has the largest standard deviation because it has the lowest typical distance from the mean and sample (b) has the smallest standard deviation because it has the highest typical
distance from the mean.
Transcribed Image Text:The linked figure shows histograms for three different samples, each with sample size n = 100. a. Which sample has the (i) largest and (ii) smallest standard deviation? b. To which sample(s) is the empirical rule relevant? Why? i Click the icon to view the figure. a. Which sample has the (i) largest and (ii) smallest standard deviation? A. Sample (a) has the largest standard deviation because it is the most bell shaped and sample (b) has the smallest standard deviation because it is the least bell shaped. B. Sample (a) has the largest standard deviation because it is the most bell shaped and sample (c) has the smallest standard deviation because it is the least bell shaped. C. Sample (c) has the largest standard deviation because it has the highest typical distance from the mean and sample (b) has the smallest standard deviation because it has the lowest typical distance from the mean. D. Sample (c) has the largest standard deviation because it has the lowest typical distance from the mean and sample (b) has the smallest standard deviation because it has the highest typical distance from the mean.
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