Distribution practice
Download as PPTX, PDF2 likes96 views
The document presents 7 practice problems about calculating different statistics from data sets. The problems involve comparing average cyberbullying incidents between grade levels, comparing test score ranges between therapy groups, calculating average blood pressure, examining exam score distributions, determining income variation across a school district, and describing comfort level distributions for different faculty groups. Central tendency, spread, and symmetry are the key statistical concepts addressed.
Distribution practice
- 1. Central Tendency, Spread, & Symmetry PRACTICE PROBLEMS
- 2. PROBLEM #1
- 3. You want to compare the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors. Central Tendency Spread Symmetry Kurtosis Which type of statistic is strongly associated with this problem?
- 4. You want to compare the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors. Central Tendency Spread Symmetry Kurtosis
- 5. You want to compare the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors. Central Tendency Spread Symmetry Kurtosis
- 7. You want to compare the average number of cyberbullying incidents among freshmen, sophomores, juniors, and seniors. Central Tendency Spread Symmetry Kurtosis
- 8. PROBLEM #2
- 9. A study was undertaken to determine the impact of a new therapy on troubled teens in a particular school. All 50 students participated in the study. 24 teenagers who were given this therapy were compared with 26 teenagers who were given a traditional therapy. Both are tested for evidence of improvement using a 50 point index. First, you explore your data by finding out the difference between the lowest and highest index scores for each group. Central Tendency Spread Symmetry Kurtosis Which type of statistic is strongly associated with this problem?
- 10. A study was undertaken to determine the impact of a new therapy on troubled teens in a particular school. All 50 students participated in the study. 24 teenagers who were given this therapy were compared with 26 teenagers who were given a traditional therapy. Both are tested for evidence of improvement using a 50 point index. First, you explore your data by finding out the difference between the lowest and highest index scores for each group. Central Tendency Spread Symmetry Kurtosis
- 11. A study was undertaken to determine the impact of a new therapy on troubled teens in a particular school. All 50 students participated in the study. 24 teenagers who were given this therapy were compared with 26 teenagers who were given a traditional therapy. Both are tested for evidence of improvement using a 50 point index. First, you explore your data by finding out the difference between the lowest and highest index scores for each group. Central Tendency Spread Symmetry Kurtosis
- 13. A study was undertaken to determine the impact of a new therapy on troubled teens in a particular school. All 50 students participated in the study. 24 teenagers who were given this therapy were compared with 26 teenagers who were given a traditional therapy. Both are tested for evidence of improvement using a 50 point index. First, you explore your data by finding out the difference between the lowest and highest index scores for each group. Central Tendency Spread Symmetry Kurtosis
- 14. PROBLEM #3
- 15. 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 for just this data set. Central Tendency Spread Symmetry Kurtosis Which type of statistic is strongly associated with this problem?
- 16. 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 for just this data set. Central Tendency Spread Symmetry Kurtosis
- 17. 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 for just this data set. Central Tendency Spread Symmetry Kurtosis
- 19. 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 for just this data set. Central Tendency Spread Symmetry Kurtosis
- 20. PROBLEM #4
- 21. You have been told that an entrance exam for mechanical engineers at your school 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. You decide to test this hypothesis. Central Tendency Spread Symmetry Kurtosis Which type of statistic is strongly associated with this problem?
- 22. You have been told that an entrance exam for mechanical engineers at your school 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. You decide to test this hypothesis. Central Tendency Spread Symmetry Kurtosis
- 23. You have been told that an entrance exam for mechanical engineers at your school 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. You decide to test this hypothesis. Central Tendency Spread Symmetry Kurtosis
- 25. You have been told that an entrance exam for mechanical engineers at your school 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 few high scores. You decide to test this hypothesis. Central Tendency Spread Symmetry Kurtosis
- 26. PROBLEM #5
- 27. You are working with a newly formed school district. Before you begin your work as a school psychologist you want to learn more about the nature of the families and those living in the boundaries. You go to the department of vital statistics and are given census data regarding the socio-economic conditions of families in the new district. You decide to determine how much income varies across the district. Central Tendency Spread Symmetry Kurtosis Which type of statistic is strongly associated with this problem?
- 28. You are working with a newly formed school district. Before you begin your work as a school psychologist you want to learn more about the nature of the families and those living in the boundaries. You go to the department of vital statistics and are given census data regarding the socio-economic conditions of families in the new district. You decide to determine how much income varies across the district. Central Tendency Spread Symmetry Kurtosis
- 29. You are working with a newly formed school district. Before you begin your work as a school psychologist you want to learn more about the nature of the families and those living in the boundaries. You go to the department of vital statistics and are given census data regarding the socio-economic conditions of families in the new district. You decide to determine how much income varies across the district. Central Tendency Spread Symmetry Kurtosis
- 31. You are working with a newly formed school district. Before you begin your work as a school psychologist you want to learn more about the nature of the families and those living in the boundaries. You go to the department of vital statistics and are given census data regarding the socio-economic conditions of families in the new district. You decide to determine how much income varies across the district. Central Tendency Spread Symmetry Kurtosis
- 32. PROBLEM #6
- 33. You wish to find out the comfort level seasoned faculty have with emerging educational technologies. You survey 15 faculty who have taught more than 25 years. Two select “no comfort”, twelve select “minimal comfort” and two select moderate comfort. Which statistic would be most relevant to describing the nature of this distribution? Central Tendency Spread Symmetry Kurtosis 1 2 3 4 5 6 7 8 9 10 11 12 1 2 1 2
- 34. You wish to find out the comfort level seasoned faculty have with emerging educational technologies. You survey 15 faculty who have taught more than 25 years. Two select “no comfort”, twelve select “minimal comfort” and two select moderate comfort. Central Tendency Spread Symmetry Kurtosis 1 2 3 4 5 6 7 8 9 10 11 12 1 2 1 2
- 36. You wish to find out the comfort level seasoned faculty have with emerging educational technologies. You survey 15 faculty who have taught more than 25 years. Two select “no comfort”, twelve select “minimal comfort” and two select moderate comfort. Central Tendency Spread Symmetry Kurtosis 1 2 3 4 5 6 7 8 9 10 11 12 1 2 1 2
- 37. PROBLEM #7
- 38. You wish to find out the comfort level mid-career faculty with emerging educational technologies. You survey 15 faculty who have taught more than ten and less than 25 years. Five select “no comfort”, five select “minimal comfort” and five select moderate comfort. Which statistic would be most relevant to describing the nature of this distribution? Central Tendency Spread Symmetry Kurtosis 1 2 3 4 5 1 2 1 2 3 4 5 3 4 5
- 39. You wish to find out the comfort level mid-career faculty with emerging educational technologies. You survey 15 faculty who have taught more than ten and less than 25 years. Five select “no comfort”, five select “minimal comfort” and five select moderate comfort. Which statistic would be most relevant to describing the nature of this distribution? Central Tendency Spread Symmetry Kurtosis 1 2 3 4 5 1 2 1 2 3 4 5 3 4 5
- 40. You wish to find out the comfort level mid-career faculty with emerging educational technologies. You survey 15 faculty who have taught more than ten and less than 25 years. Five select “no comfort”, five select “minimal comfort” and five select moderate comfort. Which statistic would be most relevant to describing the nature of this distribution? Central Tendency Spread Symmetry Kurtosis 1 2 3 4 5 1 2 1 2 3 4 5 3 4 5
- 42. You wish to find out the comfort level mid-career faculty with emerging educational technologies. You survey 15 faculty who have taught more than ten and less than 25 years. Five select “no comfort”, five select “minimal comfort” and five select moderate comfort. Which statistic would be most relevant to describing the nature of this distribution? Central Tendency Spread Symmetry Kurtosis 1 2 3 4 5 1 2 1 2 3 4 5 3 4 5
- 43. So, does is the research question dealing with central tendency, spread or symmetry (or kurtosis)?