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)?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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