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1. How many outliers does the online set of sales transactions include? 2. How many outliers does the in-person set of sales transactions include? 142 X 51

1. How many outliers does the online set of sales transactions include? 2. How many outliers does the in-person set of sales transactions include? 142 X 51

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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Use the excel sheet/graph to find how many outliers there are in person!
**Online vs. In-Person Data Analysis** **Online:** - Mean: 40.5534507 - Standard Error: 2.579631608 - Median: 33.895 - Mode: 7.52 - Standard Deviation: 30.73985834 - Sample Variance: 944.9388908 - Kurtosis: -0.01791762 - Skewness: 0.850411393 - Range: 137.5 - Minimum: 2.52 - Maximum: 140.02 - Sum: 5758.59 - Count: 142 **In-Person:** - Mean: 33.64157 - Standard Error: 3.460743 - Median: 26.97 - Mode: 12.52 - Standard Deviation: 24.71465 - Sample Variance: 610.8137 - Kurtosis: -0.4101 - Skewness: 0.77805 - Range: 95.55 - Minimum: 2.87 - Maximum: 98.42 - Sum: 1715.72 - Count: 51 **Graph Explanation:** The graph displayed is a box plot comparing the online and in-person datasets. The blue box represents the online data, while the orange box represents the in-person data. - Each box plot consists of a rectangular box with a horizontal line inside, indicating the median. - The boxes display the interquartile range (IQR), showing the middle 50% of the data. - The whiskers extend from the boxes to showcase variability outside the upper and lower quartiles. - Any individual points outside the whiskers might indicate outliers in the data. The online data shows a wider range and variability compared to the in-person data, as evidenced by the spread of the box and the length of the whiskers.
Transcribed Image Text:**Online vs. In-Person Data Analysis** **Online:** - Mean: 40.5534507 - Standard Error: 2.579631608 - Median: 33.895 - Mode: 7.52 - Standard Deviation: 30.73985834 - Sample Variance: 944.9388908 - Kurtosis: -0.01791762 - Skewness: 0.850411393 - Range: 137.5 - Minimum: 2.52 - Maximum: 140.02 - Sum: 5758.59 - Count: 142 **In-Person:** - Mean: 33.64157 - Standard Error: 3.460743 - Median: 26.97 - Mode: 12.52 - Standard Deviation: 24.71465 - Sample Variance: 610.8137 - Kurtosis: -0.4101 - Skewness: 0.77805 - Range: 95.55 - Minimum: 2.87 - Maximum: 98.42 - Sum: 1715.72 - Count: 51 **Graph Explanation:** The graph displayed is a box plot comparing the online and in-person datasets. The blue box represents the online data, while the orange box represents the in-person data. - Each box plot consists of a rectangular box with a horizontal line inside, indicating the median. - The boxes display the interquartile range (IQR), showing the middle 50% of the data. - The whiskers extend from the boxes to showcase variability outside the upper and lower quartiles. - Any individual points outside the whiskers might indicate outliers in the data. The online data shows a wider range and variability compared to the in-person data, as evidenced by the spread of the box and the length of the whiskers.
**Sales Data Analysis** Below is a data analysis of sales transactions, showcasing the examination of outliers, average transaction amounts, and dataset skewness. | **Question** | **Answer** | |-----------------------------------------------------------------------------------------------|-----------------------------------------------| | 1. How many outliers does the online set of sales transactions include? | 142 ❌ | | 2. How many outliers does the in-person set of sales transactions include? | 51 ❌ | | 3. Is the average (mean) sales transaction amount higher for online sales or in-person sales? | The average is higher for online sales. ✅ | | 4. Which of the following statements accurately describes the skew of the two datasets? | Both datasets are skewed positively. ✅ | | 5. What is the lowest value of the entire dataset (taking into account both in-person and online sales)? | $2.52 ✅ | **Analysis Details:** 1. **Outliers in Sales Transactions:** - The number of outliers identified in the online sales dataset is 142; however, this seems to be an incorrect value. - In the in-person sales dataset, the number of outliers is 51, also flagged as incorrect. 2. **Average Sales Transaction:** - The mean sales transaction amount is found to be higher for online sales compared to in-person sales, which is confirmed as correct. 3. **Dataset Skewness:** - Both sales datasets exhibit positive skewness, indicating the presence of high-value transactions that pull the mean higher than the median, a statement marked correct. 4. **Lowest Value:** - The minimum value across the combined datasets (online and in-person sales) is $2.52, considered an accurate assessment. This comprehensive analysis provides insights into sales patterns and guides strategic decision-making based on transaction attributes.
Transcribed Image Text:**Sales Data Analysis** Below is a data analysis of sales transactions, showcasing the examination of outliers, average transaction amounts, and dataset skewness. | **Question** | **Answer** | |-----------------------------------------------------------------------------------------------|-----------------------------------------------| | 1. How many outliers does the online set of sales transactions include? | 142 ❌ | | 2. How many outliers does the in-person set of sales transactions include? | 51 ❌ | | 3. Is the average (mean) sales transaction amount higher for online sales or in-person sales? | The average is higher for online sales. ✅ | | 4. Which of the following statements accurately describes the skew of the two datasets? | Both datasets are skewed positively. ✅ | | 5. What is the lowest value of the entire dataset (taking into account both in-person and online sales)? | $2.52 ✅ | **Analysis Details:** 1. **Outliers in Sales Transactions:** - The number of outliers identified in the online sales dataset is 142; however, this seems to be an incorrect value. - In the in-person sales dataset, the number of outliers is 51, also flagged as incorrect. 2. **Average Sales Transaction:** - The mean sales transaction amount is found to be higher for online sales compared to in-person sales, which is confirmed as correct. 3. **Dataset Skewness:** - Both sales datasets exhibit positive skewness, indicating the presence of high-value transactions that pull the mean higher than the median, a statement marked correct. 4. **Lowest Value:** - The minimum value across the combined datasets (online and in-person sales) is $2.52, considered an accurate assessment. This comprehensive analysis provides insights into sales patterns and guides strategic decision-making based on transaction attributes.
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