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The Scenario The cost of a tank of gas at two different gas stations in one month were collected into datasets. The numerical summaries of the datasets are below. Use the information in the numerical summaries to answer the questions below. Gas Station #1 N Min Q1 Median Q3 Мах Mean St Dev 1237 $3.23 $42.38 $62.45 $93.47 $188.95 $71.02 $46.27 Gas Station #2 Min Q1 Median Q3 Маx Mean St Dev 1390 $15.75 $67.90 $98.23 $126.73 $151.32 $96.73 $33.28

The Scenario The cost of a tank of gas at two different gas stations in one month were collected into datasets. The numerical summaries of the datasets are below. Use the information in the numerical summaries to answer the questions below. Gas Station #1 N Min Q1 Median Q3 Мах Mean St Dev 1237 $3.23 $42.38 $62.45 $93.47 $188.95 $71.02 $46.27 Gas Station #2 Min Q1 Median Q3 Маx Mean St Dev 1390 $15.75 $67.90 $98.23 $126.73 $151.32 $96.73 $33.28

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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The Scenario The cost of a tank of gas at two different gas stations in one month were collected into datasets. The numerical summaries of the datasets are below. Use the information in the numerical summaries to answer the questions below. Gas Station #1 N Min Q1 Median Q3 Маx Mean St Dev 1237 $3.23 $42.38 $62.45 $93.47 $188.95 $71.02 $46.27 Gas Station #2 N Min Q1 Median Q3 Мах Mean St Dev 1390 $15.75 $67.90 $98.23 $126.73 $151.32 $96.73 $33.28 The Questions 1. What is the minimum a tank of gas at station #1 could be and still be more than 25% of all the tanks of gas purchased that month? 2. The dataset for Gas Station #1 has a Q3 of $93.47. Explain what this means in terms of the cost of the 1237 tanks of gas in the dataset. 3. Does the dataset for Gas Station #2 appear to be symmetrical or skewed? Use statistical evidence from the numerical summary to justify your answer. 4. What would happen to the mean of the dataset if an additional point was added at or less than the minimum value? Why? 5. What would happen to the standard deviation of the dataset if an additional point was added at or greater than the maximum value? Why? 6. Which of these datasets appears to be more skewed? Use a statistical analysis to justify your answer.
Transcribed Image Text:The Scenario The cost of a tank of gas at two different gas stations in one month were collected into datasets. The numerical summaries of the datasets are below. Use the information in the numerical summaries to answer the questions below. Gas Station #1 N Min Q1 Median Q3 Маx Mean St Dev 1237 $3.23 $42.38 $62.45 $93.47 $188.95 $71.02 $46.27 Gas Station #2 N Min Q1 Median Q3 Мах Mean St Dev 1390 $15.75 $67.90 $98.23 $126.73 $151.32 $96.73 $33.28 The Questions 1. What is the minimum a tank of gas at station #1 could be and still be more than 25% of all the tanks of gas purchased that month? 2. The dataset for Gas Station #1 has a Q3 of $93.47. Explain what this means in terms of the cost of the 1237 tanks of gas in the dataset. 3. Does the dataset for Gas Station #2 appear to be symmetrical or skewed? Use statistical evidence from the numerical summary to justify your answer. 4. What would happen to the mean of the dataset if an additional point was added at or less than the minimum value? Why? 5. What would happen to the standard deviation of the dataset if an additional point was added at or greater than the maximum value? Why? 6. Which of these datasets appears to be more skewed? Use a statistical analysis to justify your answer.
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