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Unit 1 lesson 2

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Unit 1 lesson 2

  1. 1. Unit 1: Background to Inferential Statistics Lesson 2: Measures of Central Tendency EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas Next Slide
  2. 2. Three Measures of Central Tendency Mode Median Mean Next Slide
  3. 3. Mode The value in a distribution of scores that occurs the most frequently Mode = 8 Next Slide 8 7 5 6 8 8 9 X 1 5 1 6 1 7 3 8 1 9 f X
  4. 4. Mode Question 1  Can I have more than one mode? Question 2  Must I have a mode? Question 3  What level of scale do I need to compute a mode? Next Slide 7 7 5 6 8 8 9 X 1 5 1 6 2 7 2 8 1 9 f X 5 4 3 2 1 X
  5. 5. What Good is a Mode Anyway? What do I know if I know that the mode of my dataset is 5? Next Slide
  6. 6. Median The “Middle” Score The median is the score that divides the distribution of scores into two equal halves Odd numbers of people Even numbers of people Md x =3 Md x =2.5 Next Slide 5 4 3 2 1 X 4 3 2 1 X
  7. 7. What Good is a Median Anyway? What do I know if I know that the median of my dataset is 5? Next Slide
  8. 8. Mean The “average” score  Next Slide GRE
  9. 9. Computing the Mean Next Slide 5 4 3 2 1 X
  10. 10. What Good is a Mean Anyway? What do I know if I know that the mean of my dataset is 5? Next Slide
  11. 11. Questions about Central Tendency!! What would the mode of this dataset be? <ul><li>1 </li></ul><ul><li>2 </li></ul><ul><li>3 </li></ul><ul><li>4 </li></ul><ul><li>5 </li></ul><ul><li>1 </li></ul><ul><li>2 </li></ul><ul><li>3 </li></ul><ul><li>4 </li></ul><ul><li>5 </li></ul>Next Slide 2 5 3 2 2 3 1 X
  12. 12. Questions about Central Tendency!! What would the median of this dataset be? <ul><li>1 </li></ul><ul><li>2 </li></ul><ul><li>3 </li></ul><ul><li>4 </li></ul><ul><li>5 </li></ul><ul><li>1 </li></ul><ul><li>2 </li></ul><ul><li>3 </li></ul><ul><li>4 </li></ul><ul><li>5 </li></ul>Next Slide 2 5 3 2 2 3 1 X
  13. 13. Questions about Central Tendency!! What would the mean of this dataset be? <ul><li>1.50 </li></ul><ul><li>2 </li></ul><ul><li>2.57 </li></ul><ul><li>3.8 </li></ul><ul><li>18 </li></ul><ul><li>1.50 </li></ul><ul><li>2 </li></ul><ul><li>2.57 </li></ul><ul><li>3.8 </li></ul><ul><li>18 </li></ul>Next Slide 2 5 3 2 2 3 1 X
  14. 14. Unit 1: Background to Inferential Statistics Lesson 2: Measures of Central Tendency EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas

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