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The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 35.8 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? E Click the icon to view the data, (a) Compute the z-score corresponding to the individual who obtained 35.8 miles per gallon. Interpret this result. The z-score corresponding to the individual is and indicates that the data value is standard deviation(s) V the (Type integers or decimals rounded to two decimal places as needed.) (b) Determine the quartiles. MPG Data Q,= mpg Q2 = mpg mpg 38.7 40.2 42.5 e 37.8 38.1 32.2 35.9 34.3 36.4 38.9 40.6 43.0 Click to select your answer(s). 34.7 37.4 38.2 39.2 41.3 43.3 35.8 37.6 38.6 39.5 41.6 48.9

The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 35.8 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? E Click the icon to view the data, (a) Compute the z-score corresponding to the individual who obtained 35.8 miles per gallon. Interpret this result. The z-score corresponding to the individual is and indicates that the data value is standard deviation(s) V the (Type integers or decimals rounded to two decimal places as needed.) (b) Determine the quartiles. MPG Data Q,= mpg Q2 = mpg mpg 38.7 40.2 42.5 e 37.8 38.1 32.2 35.9 34.3 36.4 38.9 40.6 43.0 Click to select your answer(s). 34.7 37.4 38.2 39.2 41.3 43.3 35.8 37.6 38.6 39.5 41.6 48.9

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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**Statistical Analysis of Miles Per Gallon (MPG) Data** **Objective:** The objective of this exercise is to analyze a dataset that represents the miles per gallon (MPG) of a random sample of cars with a three-cylinder, 1.0 liter engine. The analysis includes: 1. Computing the z-score for a specific data point. 2. Determining the quartiles of the dataset. 3. Calculating and interpreting the interquartile range (IQR). 4. Determining the lower and upper fences to identify any outliers. **Given Data:** Below is the MPG data provided for analysis: - 32.2, 35.9, 37.8, 38.7, 40.2, 42.5 - 34.3, 36.4, 38.1, 38.9, 40.6, 43.0 - 34.7, 37.4, 38.2, 39.2, 41.3, 43.3 - 35.8, 37.6, 38.6, 39.5, 41.6, 48.9 **Steps for Analysis:** ### (a) Compute the z-score corresponding to the individual who obtained 35.8 miles per gallon. The z-score corresponding to the individual who obtained 35.8 miles per gallon is __ and indicates that the data value is __ standard deviation(s) __ the __. *(Note: Here, the user is asked to fill in the blanks with the computed z-score and interpret the result.)* ### (b) Determine the quartiles. - \( Q_1 \) = __ mpg - \( Q_2 \) = __ mpg - \( Q_3 \) = __ mpg *(Note: Here, the user is asked to compute and fill in the first quartile (Q1), the median (Q2), and the third quartile (Q3).)* ### (c) Compute and interpret the interquartile range, IQR. - IQR = \( Q_3 - Q_1 \) = __ mpg *(Note: The IQR is the range between the first quartile and the third quartile values.)* ### (d) Determine the lower and upper fences. Are there any outliers? - Lower fence: \( Q_
Transcribed Image Text:**Statistical Analysis of Miles Per Gallon (MPG) Data** **Objective:** The objective of this exercise is to analyze a dataset that represents the miles per gallon (MPG) of a random sample of cars with a three-cylinder, 1.0 liter engine. The analysis includes: 1. Computing the z-score for a specific data point. 2. Determining the quartiles of the dataset. 3. Calculating and interpreting the interquartile range (IQR). 4. Determining the lower and upper fences to identify any outliers. **Given Data:** Below is the MPG data provided for analysis: - 32.2, 35.9, 37.8, 38.7, 40.2, 42.5 - 34.3, 36.4, 38.1, 38.9, 40.6, 43.0 - 34.7, 37.4, 38.2, 39.2, 41.3, 43.3 - 35.8, 37.6, 38.6, 39.5, 41.6, 48.9 **Steps for Analysis:** ### (a) Compute the z-score corresponding to the individual who obtained 35.8 miles per gallon. The z-score corresponding to the individual who obtained 35.8 miles per gallon is __ and indicates that the data value is __ standard deviation(s) __ the __. *(Note: Here, the user is asked to fill in the blanks with the computed z-score and interpret the result.)* ### (b) Determine the quartiles. - \( Q_1 \) = __ mpg - \( Q_2 \) = __ mpg - \( Q_3 \) = __ mpg *(Note: Here, the user is asked to compute and fill in the first quartile (Q1), the median (Q2), and the third quartile (Q3).)* ### (c) Compute and interpret the interquartile range, IQR. - IQR = \( Q_3 - Q_1 \) = __ mpg *(Note: The IQR is the range between the first quartile and the third quartile values.)* ### (d) Determine the lower and upper fences. Are there any outliers? - Lower fence: \( Q_
### Statistical Analysis of Miles Per Gallon (MPG) for a Sample of Cars The accompanying data represent the miles per gallon (MPG) of a random sample of cars with a three-cylinder, 1.0-liter engine. #### Tasks: 1. **Compute the z-score corresponding to the individual who obtained 35.8 miles per gallon. Interpret this result.** 2. **Determine the quartiles.** 3. **Compute and interpret the interquartile range (IQR).** 4. **Determine the lower and upper fences. Are there any outliers?** To start analyzing the data, click the icon to view the MPG data. #### (c) Compute and Interpret the Interquartile Range, IQR. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) **The interquartile range is** ___ MPG. **It is the range of** __ to __. #### (d) Determine the Lower and Upper Fences. Are There Any Outliers? **The lower fence is** ___. **The upper fence is** ___. (Type integers or decimals. Do not round.) To select your answer(s), click here. #### MPG Data Table Below is the MPG data that you need to use for your calculations: | | | | | | | | | |---|------|------|------|------|------|------|------| |32.2|35.9 |37.8 |38.7 |38.7 |40.2 |42.5 | | |34.3|36.4 |38.1 |38.9 |40.6 |43.0 | | | |34.7|37.4 |38.2 |39.2 |41.3 |43.3 | | | |35.8|37.6 |38.6 |39.5 |41.6 |48.9 | | | Use this data to perform the required statistical calculations and fill in the corresponding fields. Note: This data table will assist in finding the interquartile range (IQR) and determining whether there are any potential outliers by computing the lower and upper fences. The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).
Transcribed Image Text:### Statistical Analysis of Miles Per Gallon (MPG) for a Sample of Cars The accompanying data represent the miles per gallon (MPG) of a random sample of cars with a three-cylinder, 1.0-liter engine. #### Tasks: 1. **Compute the z-score corresponding to the individual who obtained 35.8 miles per gallon. Interpret this result.** 2. **Determine the quartiles.** 3. **Compute and interpret the interquartile range (IQR).** 4. **Determine the lower and upper fences. Are there any outliers?** To start analyzing the data, click the icon to view the MPG data. #### (c) Compute and Interpret the Interquartile Range, IQR. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) **The interquartile range is** ___ MPG. **It is the range of** __ to __. #### (d) Determine the Lower and Upper Fences. Are There Any Outliers? **The lower fence is** ___. **The upper fence is** ___. (Type integers or decimals. Do not round.) To select your answer(s), click here. #### MPG Data Table Below is the MPG data that you need to use for your calculations: | | | | | | | | | |---|------|------|------|------|------|------|------| |32.2|35.9 |37.8 |38.7 |38.7 |40.2 |42.5 | | |34.3|36.4 |38.1 |38.9 |40.6 |43.0 | | | |34.7|37.4 |38.2 |39.2 |41.3 |43.3 | | | |35.8|37.6 |38.6 |39.5 |41.6 |48.9 | | | Use this data to perform the required statistical calculations and fill in the corresponding fields. Note: This data table will assist in finding the interquartile range (IQR) and determining whether there are any potential outliers by computing the lower and upper fences. The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).
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