Consider a set of data that has mean u=72 and standard deviation a= 12 In a), and b) assume the distribution of the data is approximately normally distributed (mound-shaped) so that the empirical rule applies. a) Estimate the percentage of the data within the range (48, 96). b) Estimate the percentage of the data within the range (60, 84). In c) and d) assume we have no knowledge about the distribution of the data, and that it may possibly be irregularly shaped. Apply Tchebychev's inequality in this setting. c) What is the smallest percentage of data that could be within the range (48, 96)? d) What is the smallest percentage of data that could be within the range (54, 90)?
Consider a set of data that has mean u=72 and standard deviation a= 12 In a), and b) assume the distribution of the data is approximately normally distributed (mound-shaped) so that the empirical rule applies. a) Estimate the percentage of the data within the range (48, 96). b) Estimate the percentage of the data within the range (60, 84). In c) and d) assume we have no knowledge about the distribution of the data, and that it may possibly be irregularly shaped. Apply Tchebychev's inequality in this setting. c) What is the smallest percentage of data that could be within the range (48, 96)? d) What is the smallest percentage of data that could be within the range (54, 90)?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:Consider a set of data that has mean = 72 and standard deviation g= 12
In a), and b) assume the distribution of the data is approximately normally distributed (mound-shaped) so that the empirical rule applies.
a) Estimate the percentage of the data within the range (48, 96).
b) Estimate the percentage of the data within the range (60, 84).
In c) and d) assume we have no knowledge about the distribution of the data, and that it may possibly be irregularly shaped. Apply Tchebychev's inequality in
this setting.
c) What is the smallest percentage of data that could be within the range (48, 96)?
d) What is the smallest percentage of data that could be within the range (54, 90)?
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