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Empirical Rule and Tchebychev Inequality a) According to Tchebychev's inequality, what is the minimum percentage of the data within k = 2 standard deviations of the mean? within 2.5 standard deviations? within 4 standard deviations?

Empirical Rule and Tchebychev Inequality a) According to Tchebychev's inequality, what is the minimum percentage of the data within k = 2 standard deviations of the mean? within 2.5 standard deviations? within 4 standard deviations?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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QUESTION 17 Empirical Rule and Tchebychev Inequality a) According to Tchebychev's inequality, what is the minimum percentage of the data within k = 2 standard deviations of the mean? within 2.5 standard deviations? within 4 standard deviations? b) For data within k=2 standard deviations, what is the difference between the empirical rule for mound shaped (normally distributed data) and the estimates of Tchebychev's inequality for irregularly shaped data? c) Assume that an unknown distribution may be fairly irregular. Apply the Tchebychev inequality to determine the number, k, of standard deviations within the mean to guarantee at least each of the following percentages of the data: at least 95% of the data?, at least 68% of the data?, at least 80% of the data?)
Transcribed Image Text:QUESTION 17 Empirical Rule and Tchebychev Inequality a) According to Tchebychev's inequality, what is the minimum percentage of the data within k = 2 standard deviations of the mean? within 2.5 standard deviations? within 4 standard deviations? b) For data within k=2 standard deviations, what is the difference between the empirical rule for mound shaped (normally distributed data) and the estimates of Tchebychev's inequality for irregularly shaped data? c) Assume that an unknown distribution may be fairly irregular. Apply the Tchebychev inequality to determine the number, k, of standard deviations within the mean to guarantee at least each of the following percentages of the data: at least 95% of the data?, at least 68% of the data?, at least 80% of the data?)
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