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Suppose you were given the following data for a section of STAT 210 with 126 enrolled students: 63 26 47 48 12 72 52 31 55 126 66 35 22 44 32 37 Using the data on the left. Which of the following statistics is a measure of spread that would be resistant to the removal of the observation 126 for STAT 210? Median Inter Quartile Range Standard Deviation Range Mean 00000

Suppose you were given the following data for a section of STAT 210 with 126 enrolled students: 63 26 47 48 12 72 52 31 55 126 66 35 22 44 32 37 Using the data on the left. Which of the following statistics is a measure of spread that would be resistant to the removal of the observation 126 for STAT 210? Median Inter Quartile Range Standard Deviation Range Mean 00000

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
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--- ### Data Analysis in Statistics Suppose you were given the following data for a section of STAT 210 with 126 enrolled students: ``` 63, 26, 47, 48, 12, 72, 52, 31, 55, 126, 66, 35, 22, 44, 32, 37 ``` Using the data on the left, which of the following statistics is a measure of spread that would be resistant to the removal of the observation 126 for STAT 210? - ⃝ Median - ⃝ Inter Quartile Range - ⃝ Standard Deviation - ⃝ Range - ⃝ Mean --- **Explanation:** In the field of statistics, different measures of spread can be impacted differently by outliers or extreme values. When determining the most appropriate measure of spread, it is important to recognize how each statistic behaves in the presence or absence of such extremes. 1. **Median:** The middle value of a dataset when organized in ascending order. It is resistant to outliers. 2. **Inter Quartile Range (IQR):** The range between the first quartile (25th percentile) and the third quartile (75th percentile). It is a measure of statistical dispersion and is resistant to outliers. 3. **Standard Deviation:** A measure of the amount of variation or dispersion of a set of values. It is sensitive to outliers. 4. **Range:** The difference between the highest and lowest values in a dataset. It is highly sensitive to outliers. 5. **Mean:** The average of a set of values. It is sensitive to outliers. To find a measure of spread that is resistant to the removal of the observation 126, focus on the Median or Inter Quartile Range, as they are less affected by extremes. ---
Transcribed Image Text:--- ### Data Analysis in Statistics Suppose you were given the following data for a section of STAT 210 with 126 enrolled students: ``` 63, 26, 47, 48, 12, 72, 52, 31, 55, 126, 66, 35, 22, 44, 32, 37 ``` Using the data on the left, which of the following statistics is a measure of spread that would be resistant to the removal of the observation 126 for STAT 210? - ⃝ Median - ⃝ Inter Quartile Range - ⃝ Standard Deviation - ⃝ Range - ⃝ Mean --- **Explanation:** In the field of statistics, different measures of spread can be impacted differently by outliers or extreme values. When determining the most appropriate measure of spread, it is important to recognize how each statistic behaves in the presence or absence of such extremes. 1. **Median:** The middle value of a dataset when organized in ascending order. It is resistant to outliers. 2. **Inter Quartile Range (IQR):** The range between the first quartile (25th percentile) and the third quartile (75th percentile). It is a measure of statistical dispersion and is resistant to outliers. 3. **Standard Deviation:** A measure of the amount of variation or dispersion of a set of values. It is sensitive to outliers. 4. **Range:** The difference between the highest and lowest values in a dataset. It is highly sensitive to outliers. 5. **Mean:** The average of a set of values. It is sensitive to outliers. To find a measure of spread that is resistant to the removal of the observation 126, focus on the Median or Inter Quartile Range, as they are less affected by extremes. ---
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