In December 2018, the average price of regular unleaded gasoline excluding taxes in the United States was $3.06 per gallon. Assume that the standard deviation price per gallon is $0.09 per gallon and use Chebyshev's Inequality to answer the followi (a) What minimum percentage of gasoline stations had prices within 3 standard deviations of the mean? (b) What minimum percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean? c) What is the minimum percentage of gasoline stations that had prices between $2.88 and $3.24?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In December 2018, the average price of regular unleaded gasoline excluding taxes in the United States was $3.06 per gallon. Assume that the standard deviation price per gallon is $0.09 per gallon and use Chebyshev's Inequality to answer the following.
(a) What minimum percentage of gasoline stations had prices within 3 standard deviations of the mean?
(b) What minimum percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean?
(c) What is the minimum percentage of gasoline stations that had prices between $2.88 and $3.24?
Transcribed Image Text:In December 2018, the average price of regular unleaded gasoline excluding taxes in the United States was $3.06 per gallon. Assume that the standard deviation price per gallon is $0.09 per gallon and use Chebyshev's Inequality to answer the following. (a) What minimum percentage of gasoline stations had prices within 3 standard deviations of the mean? (b) What minimum percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean? (c) What is the minimum percentage of gasoline stations that had prices between $2.88 and $3.24?
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