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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 38.1 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? Click the icon to view the data. (a) Compute the z-score corresponding to the individual who obtained 38.1 miles per gallon. Interpret this result. The z-score corresponding to the individual is and indicates that the data value is standard deviation(s) (Type integers or decimals rounded to two decimal places as needed.) (b) Determine the quartiles. Q₁ = mpg Q₂= mpg Q₂ = mpg (Type integers or decimals. Do not round.) (c) Compute and interpret the interquartile range, IQR. Select the correct choice below and The interquartile range is (Type an integer or a decimal. Do not round.) (d) Determine the lower and upper fences. Are there any outliers? mpg. It is the range of MPG Data 32.2 34.2 34.4 35.4 The lower fence is The upper fence is (Type integers or decimals. Do not round) Are there any outliers? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. the 37.8 35.9 36.3 38.0 37.4 38.1 37.5 38.6 Print 4 38.7 39.8 42.4 D 39.0 40.5 42.8 39.2 41.3 43.5 39.7 41.5 49.2 Done - X

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 38.1 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? Click the icon to view the data. (a) Compute the z-score corresponding to the individual who obtained 38.1 miles per gallon. Interpret this result. The z-score corresponding to the individual is and indicates that the data value is standard deviation(s) (Type integers or decimals rounded to two decimal places as needed.) (b) Determine the quartiles. Q₁ = mpg Q₂= mpg Q₂ = mpg (Type integers or decimals. Do not round.) (c) Compute and interpret the interquartile range, IQR. Select the correct choice below and The interquartile range is (Type an integer or a decimal. Do not round.) (d) Determine the lower and upper fences. Are there any outliers? mpg. It is the range of MPG Data 32.2 34.2 34.4 35.4 The lower fence is The upper fence is (Type integers or decimals. Do not round) Are there any outliers? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. the 37.8 35.9 36.3 38.0 37.4 38.1 37.5 38.6 Print 4 38.7 39.8 42.4 D 39.0 40.5 42.8 39.2 41.3 43.5 39.7 41.5 49.2 Done - X

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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### Determining Quartiles and Analyzing MPG Data #### (b) Determine the Quartiles: - \( Q_1 = \_\_\_ \) mpg - \( Q_2 = \_\_\_ \) mpg - \( Q_3 = \_\_\_ \) mpg *(Type integers or decimals. Do not round.)* #### (c) Compute and Interpret the Interquartile Range (IQR): - The interquartile range is \(\_\_\_\) mpg. It is the range of \[\_\_\_\]. *(Type an integer or a decimal. Do not round.)* #### (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.)* *Are there any outliers? Select the correct choice below and, if necessary, fill in the answer.* - **A.** The outlier(s) is/are \(\_\_\_\). *(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)* - **B.** There are no outliers. #### MPG Data Display: The MPG data shown in the pop-up includes: ``` 32.2, 35.9, 37.8, 38.7, 39.8, 42.4 34.2, 36.3, 38.0, 39.0, 40.5, 42.8 34.4, 37.4, 38.1, 39.2, 41.3, 43.5 35.4, 37.5, 38.6, 39.7, 41.5, 49.2 ``` This data is arranged in rows and columns and represents various MPG values recorded during an experiment or study. Use this data to fill in the required values for the calculations above.
Transcribed Image Text:### Determining Quartiles and Analyzing MPG Data #### (b) Determine the Quartiles: - \( Q_1 = \_\_\_ \) mpg - \( Q_2 = \_\_\_ \) mpg - \( Q_3 = \_\_\_ \) mpg *(Type integers or decimals. Do not round.)* #### (c) Compute and Interpret the Interquartile Range (IQR): - The interquartile range is \(\_\_\_\) mpg. It is the range of \[\_\_\_\]. *(Type an integer or a decimal. Do not round.)* #### (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.)* *Are there any outliers? Select the correct choice below and, if necessary, fill in the answer.* - **A.** The outlier(s) is/are \(\_\_\_\). *(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)* - **B.** There are no outliers. #### MPG Data Display: The MPG data shown in the pop-up includes: ``` 32.2, 35.9, 37.8, 38.7, 39.8, 42.4 34.2, 36.3, 38.0, 39.0, 40.5, 42.8 34.4, 37.4, 38.1, 39.2, 41.3, 43.5 35.4, 37.5, 38.6, 39.7, 41.5, 49.2 ``` This data is arranged in rows and columns and represents various MPG values recorded during an experiment or study. Use this data to fill in the required values for the calculations above.
The image displays a statistical analysis task related to miles per gallon (MPG) data for cars with a three-cylinder, 1.0-liter engine. Below is a transcription and explanation suitable for an educational website: --- ### Statistical Analysis of MPG Data The accompanying data represent the miles per gallon (MPG) for a random sample of cars with a three-cylinder, 1.0-liter engine. The task involves computing and interpreting various statistical measures. #### Tasks: (a) **Compute the z-score**: Calculate the z-score for the individual who obtained 38.1 miles per gallon. Interpret this result. - The z-score formula is applied to determine how many standard deviations the value 38.1 is from the mean. (b) **Determine the Quartiles (Q1, Q2, Q3)**: - Calculate the first quartile (Q1), the median (Q2), and the third quartile (Q3) of the dataset. (c) **Compute and Interpret the Interquartile Range (IQR)**: - The IQR is calculated as the range of the middle 50% of the data, i.e., \( Q3 - Q1 \). (d) **Determine the Lower and Upper Fences**: - Compute these values to identify potential outliers. - Lower Fence = \( Q1 - 1.5 \times IQR \) - Upper Fence = \( Q3 + 1.5 \times IQR \) #### MPG Data Table: The dataset given in the pop-up window is a collection of MPG values: ``` 32.2, 35.9, 37.8, 38.7, 38.9, 42.4 34.2, 36.3, 38.0, 39.0, 40.5, 42.8 34.4, 37.4, 38.1, 39.2, 41.3, 43.5 35.4, 37.5, 38.6, 39.7, 41.5, 49.2 ``` Students are required to: - Calculate relevant statistics and interpret the results. - Determine if there are any outliers using the calculated fences. This task helps students develop skills in descriptive statistics and understand the application of statistical measures in real-world scenarios. ---
Transcribed Image Text:The image displays a statistical analysis task related to miles per gallon (MPG) data for cars with a three-cylinder, 1.0-liter engine. Below is a transcription and explanation suitable for an educational website: --- ### Statistical Analysis of MPG Data The accompanying data represent the miles per gallon (MPG) for a random sample of cars with a three-cylinder, 1.0-liter engine. The task involves computing and interpreting various statistical measures. #### Tasks: (a) **Compute the z-score**: Calculate the z-score for the individual who obtained 38.1 miles per gallon. Interpret this result. - The z-score formula is applied to determine how many standard deviations the value 38.1 is from the mean. (b) **Determine the Quartiles (Q1, Q2, Q3)**: - Calculate the first quartile (Q1), the median (Q2), and the third quartile (Q3) of the dataset. (c) **Compute and Interpret the Interquartile Range (IQR)**: - The IQR is calculated as the range of the middle 50% of the data, i.e., \( Q3 - Q1 \). (d) **Determine the Lower and Upper Fences**: - Compute these values to identify potential outliers. - Lower Fence = \( Q1 - 1.5 \times IQR \) - Upper Fence = \( Q3 + 1.5 \times IQR \) #### MPG Data Table: The dataset given in the pop-up window is a collection of MPG values: ``` 32.2, 35.9, 37.8, 38.7, 38.9, 42.4 34.2, 36.3, 38.0, 39.0, 40.5, 42.8 34.4, 37.4, 38.1, 39.2, 41.3, 43.5 35.4, 37.5, 38.6, 39.7, 41.5, 49.2 ``` Students are required to: - Calculate relevant statistics and interpret the results. - Determine if there are any outliers using the calculated fences. This task helps students develop skills in descriptive statistics and understand the application of statistical measures in real-world scenarios. ---
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