Central spread - symmetry (jejit + indepth)
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The document discusses different categories of methods for analyzing data distributions: central tendency, spread, and symmetry. Central tendency describes where data are clustered around the average or center. Spread describes how far data are from the middle. Symmetry describes the overall shape of the distribution. The document provides examples of questions that would require analyzing the central tendency, spread, or symmetry and instructs the reader to identify which one is most relevant. It emphasizes that every distribution has all three characteristics but the analysis may focus on one aspect.
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Central spread - symmetry (jejit + indepth)
- 1. What category of method is appropriate for the research question? Methods dealing with … Central Tendency? Spread? Symmetry?
- 2. Central Tendency Tells you about where the data are clustering or centered in the distribution (e.g., average, center, middle). Spread Tells you about how spread out the data are from the middle. (e.g., spread, difference, deviation, range, variation, vary etc.) Symmetry Tells you about the shape of the distribution.
- 3. Note – if before going on you would like to brush up on what a distribution is – click the link below: Link to instruction on distributions Return to this slide when you are done.
- 4. Central Tendency Central Tendency, Spread, or Distribution Shape?
- 5. Central Tendency Central Tendency, Spread, or Distribution Shape? Tells you about where the data are clustering or centering. Look for words like, average, mean, median, most common, center point etc. Note – to review what a distribution is go to slide 44 and then return to this slide.
- 6. Central Tendency Central Tendency, Spread, or Distribution Shape? Tells you about where the data are clustering or centering. Look for words like, average, mean, median, most common, center point etc. Note – to review what a distribution is go to slide 44 and then return to this slide.
- 7. Central Tendency Central Tendency, Spread, or Distribution Shape? Tells you about where the data are clustering or centering. Look for words like, average, mean, median, most common, center point etc. Examples: What is the average test score? What is the most frequent score? What is the median income?
- 8. Central Tendency, Spread, or Distribution Shape? Spread
- 9. Central Tendency, Spread, or Distribution Shape? Spread Tells you about how spread out the data are from one another. Look for words like spread, difference, deviation, range, variation, vary, etc.
- 10. Central Tendency, Spread, or Distribution Shape? Examples: How spread out are the test results? How much does income vary in community X? What is the difference between the highest and lowest scores? Spread Tells you about how spread out the data are from one another. Look for words like spread, difference, deviation, range, variation, vary, etc.
- 11. Central Tendency, Spread, or Distribution Shape? Symmetry
- 12. Central Tendency, Spread, or Distribution Shape? Symmetry Tells you about the shape of the distribution. Look for words like shape or expressions like • Most of the data in the center. • A few data points to the left or right. • All data evenly distributed. • Shape of the distribution is very peaked.
- 13. Central Tendency, Spread, or Distribution Shape? Example: Are the lab results mostly on the high or low end? Symmetry Tells you about the shape of the distribution. Look for words like shape or expressions like • Most of the data in the center. • A few data points to the left or right. • All data evenly distributed. • Shape of the distribution is very peaked.
- 14. Important Note Every data set has central tendency, spread, and symmetry. Student Test Score Anne 35 Bob 31 Carla 43 Daniel 29 Eva 30
- 15. Important Note Every data set has central tendency, spread, and symmetry. Student Test Score Anne 35 Bob 31 Carla 43 Daniel 29 Eva 30 In the practices that follow, you will be directed to focus on one of these at a time.
- 16. In summary
- 17. Central Tendency Tells you about where the data are clustering or centered in the distribution (e.g., average, center, middle). Spread Tells you about how spread out the data are from the middle. (e.g., spread, difference, deviation, range, variation, vary etc.) Symmetry Tells you about the shape of the distribution.
- 18. Let’s Practice
- 19. Problem #1 Question: What is the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors?
- 20. Problem #1 Question: What is the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors? Instructions: Which type of description of the distribution (below) is most relevant to the question (above)? Central Tendency Spread Symmetry
- 21. Problem #1 Question: What is the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors? Central Tendency Spread Symmetry
- 22. Problem #1 Question: What is the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors? Central Tendency Spread Symmetry Tells you about where the data are clustering or centering. Look for words like, average, mean, median, most common, center point etc.
- 23. Problem #1 Question: What is the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors? Central Tendency Spread Symmetry Tells you about where the data are clustering or centering. Look for words like, average, mean, median, most common, center point etc.
- 24. Problem #2 Question: What is the difference between the lowest and highest score on a survey designed to test the impact of a new therapy?
- 25. Problem #2 Question: What is the difference between the lowest and highest score on a survey designed to test the impact of a new therapy? Instructions: Which type of description of the distribution (below) is most relevant to the question (above)? Central Tendency Spread Symmetry
- 26. Problem #2 Question: What is the difference between the lowest and highest score on a survey designed to test the impact of a new therapy? Central Tendency Spread Symmetry
- 27. Problem #2 Question: What is the difference between the lowest and highest score on a survey designed to test the impact of a new therapy? Central Tendency Spread Symmetry Tells you about how spread out the data are from one another. Look for words like spread, difference, deviation, range, variation, etc.
- 28. Problem #2 Question: What is the difference between the lowest and highest score on a survey designed to test the impact of a new therapy? Central Tendency Spread Symmetry Tells you about how spread out the data are from one another. Look for words like spread, difference, deviation, range, variation, etc.
- 29. Problem #3 Question: The director of a health clinic has asked you to help her analyze data from the results of patient systolic blood pressure readings. You decide to compute the mean systolic pressure to see where the patient results cluster.
- 30. Problem #3 Question: The director of a health clinic has asked you to help her analyze data from the results of patient systolic blood pressure readings. You decide to compute the mean systolic pressure to see where the patient results cluster. Instructions: Which type of description of the distribution (below) is most relevant to the question (above)? Central Tendency Spread Symmetry
- 31. Problem #3 Question: The director of a health clinic has asked you to help her analyze data from the results of patient systolic blood pressure readings. You decide to compute the mean systolic pressure to see where the patient results cluster. Central Tendency Spread Symmetry
- 32. Problem #3 Question: The director of a health clinic has asked you to help her analyze data from the results of patient systolic blood pressure readings. You decide to compute the mean systolic pressure to see where the patient results cluster. Central Tendency Spread Symmetry Tells you about where the data are clustering or centering. Look for words like, average, mean, median, most common, center point etc.
- 33. Problem #3 Question: The director of a health clinic has asked you to help her analyze data from the results of patient systolic blood pressure readings. You decide to compute the mean systolic pressure to see where the patient results cluster. Central Tendency Spread Symmetry Tells you about where the data are clustering or centering Look for words like, average, mean, median, most common, center point etc.
- 34. Problem #4 Question: An entrance exam for mechanical engineers is very difficult. If it is very difficult you would expect most of the scores to bunched up on the lower end of the score distribution with a few high scores. What is the shape of this distribution?
- 35. Problem #4 Question: An entrance exam for mechanical engineers is very difficult. If it is very difficult you would expect most of the scores to bunched up on the lower end of the score distribution with a few high scores. What is the shape of this distribution? Instructions: Which type of description of the distribution (below) is most relevant to the question (above)? Central Tendency Spread Symmetry
- 36. Problem #4 Question: An entrance exam for mechanical engineers is very difficult. If it is very difficult you would expect most of the scores to bunched up on the lower end of the score distribution with a few high scores. What is the shape of this distribution? Central Tendency Spread Symmetry
- 37. Problem #4 Question: An entrance exam for mechanical engineers is very difficult. If it is very difficult you would expect most of the scores to bunched up on the lower end of the score distribution with a few high scores. What is the shape of this distribution? Tells you about the shape of the distribution. Look for words like shape or expressions like • Most of the data in the center. • A few data points to the left or right. • All data evenly distributed. • Shape of the distribution is very peaked. Central Tendency Spread Symmetry
- 38. Problem #4 Question: An entrance exam for mechanical engineers is very difficult. If it is very difficult you would expect most of the scores to bunched up on the lower end of the score distribution with a few high scores. What is the shape of this distribution? Central Tendency Spread Symmetry Tells you about the shape of the distribution. Look for words like shape or expressions like • Most of the data in the center. • A few data points to the left or right. • All data evenly distributed. • Shape of the distribution is very peaked.
- 39. What category of method is appropriate for the research question? Methods dealing with … Central Tendency? Spread? Symmetry?
Editor's Notes
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.
- Symmetry has to do with he shape of a distribution When the distribution is symmetrical it has most of the values in the middle with equally decreasing values to the left and right of the distribution (as shown to the left). A distribution is asymmetrical when it does not follow this pattern (see the bottom two images to the left). You normally will not be asked to assess skew directly but it is an important step in determining the type of spread or central tendency statistics you will run.