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a)₁ b.' c.[ 5 0.03 10.01 0.01 10 15 20 25 30 35 40 45 50 55 Miles per gallon 'dentify the shape of the distribution (right skewed, left skewed or symmetric) ¹ Find the proportion of cars with at least 25 miles per gallon. Find the proportion of cars with a gas mileage less than 25 miles per gallon

a)₁ b.' c.[ 5 0.03 10.01 0.01 10 15 20 25 30 35 40 45 50 55 Miles per gallon 'dentify the shape of the distribution (right skewed, left skewed or symmetric) ¹ Find the proportion of cars with at least 25 miles per gallon. Find the proportion of cars with a gas mileage less than 25 miles per gallon

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
Problem 1P
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### City Gas Mileages Study #### Problem 10: Analysis of Relative Frequency Histogram The relative frequency histogram provided illustrates the distribution of city gas mileages among different cars. The x-axis represents the "Miles per gallon," while the y-axis denotes the "Relative frequency." The relative frequency values at specific mileage bins are as follows: - 5-10 miles per gallon: 0.0 - 10-15 miles per gallon: 0.15 - 15-20 miles per gallon: 0.38 - 20-25 miles per gallon: 0.27 - 25-30 miles per gallon: 0.15 - 30-35 miles per gallon: 0.03 - 35-40 miles per gallon: 0.01 - 40-45 miles per gallon: 0.0 - 45-50 miles per gallon: 0.01 - 50-55 miles per gallon: 0.0 **Tasks:** #### a) Identify the Shape of the Distribution Determine whether the distribution is right-skewed, left-skewed, or symmetric. #### b) Find the Proportion of Cars with at least 25 Miles per Gallon Calculate the proportion of cars that achieve at least 25 miles per gallon based on the relative frequencies provided. #### c) Find the Proportion of Cars with a Gas Mileage Less Than 25 Miles per Gallon Calculate the proportion of cars that have a gas mileage of less than 25 miles per gallon. **Explanation of Graph/Diagram:** The histogram displays vertical bars for each mileage range, indicating the relative frequency of cars achieving that mileage. The highest bar, reaching up to a relative frequency of 0.38, is for the 15-20 miles per gallon range, suggesting a concentration of cars in this mileage bracket. Other bars gradually taper off, forming a distribution which will be analyzed for its shape in part (a) and used for proportion calculations in parts (b) and (c). By understanding the graph and the accompanying tasks, students are expected to interpret the distribution shape, and calculate proportions based on the given relative frequencies.
Transcribed Image Text:### City Gas Mileages Study #### Problem 10: Analysis of Relative Frequency Histogram The relative frequency histogram provided illustrates the distribution of city gas mileages among different cars. The x-axis represents the "Miles per gallon," while the y-axis denotes the "Relative frequency." The relative frequency values at specific mileage bins are as follows: - 5-10 miles per gallon: 0.0 - 10-15 miles per gallon: 0.15 - 15-20 miles per gallon: 0.38 - 20-25 miles per gallon: 0.27 - 25-30 miles per gallon: 0.15 - 30-35 miles per gallon: 0.03 - 35-40 miles per gallon: 0.01 - 40-45 miles per gallon: 0.0 - 45-50 miles per gallon: 0.01 - 50-55 miles per gallon: 0.0 **Tasks:** #### a) Identify the Shape of the Distribution Determine whether the distribution is right-skewed, left-skewed, or symmetric. #### b) Find the Proportion of Cars with at least 25 Miles per Gallon Calculate the proportion of cars that achieve at least 25 miles per gallon based on the relative frequencies provided. #### c) Find the Proportion of Cars with a Gas Mileage Less Than 25 Miles per Gallon Calculate the proportion of cars that have a gas mileage of less than 25 miles per gallon. **Explanation of Graph/Diagram:** The histogram displays vertical bars for each mileage range, indicating the relative frequency of cars achieving that mileage. The highest bar, reaching up to a relative frequency of 0.38, is for the 15-20 miles per gallon range, suggesting a concentration of cars in this mileage bracket. Other bars gradually taper off, forming a distribution which will be analyzed for its shape in part (a) and used for proportion calculations in parts (b) and (c). By understanding the graph and the accompanying tasks, students are expected to interpret the distribution shape, and calculate proportions based on the given relative frequencies.
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