2. WHAT IS STANDARD DEVIATION? MONA BEHROUZIAN MATH 10H

3. Central Tendency Mean: Median: Mode:

4. Central Tendency Ex. {1, 2, 3, 3, 5}

5. Example Ex. {1, 2, 3, 4, 5}

6. Definitions {1, 2, 3, 4, 5}

7. Ex. {1, 2, 3, 4, 5}

8. Deviations away from the mean x 1 2 3 4 5 = = 1 – 3 = -2 2 – 3 = -1 3 – 3 = 0 4 – 3 = 1 5 – 3 = 2 0 Ex. {1, 2, 3, 4, 5}

9. Deviations away from the mean x 1 2 3 4 5 = = Squared deviations away from the mean 1 – 3 = -2 2 – 3 = -1 3 – 3 = 0 4 – 3 = 1 5 – 3 = 2 010 Ex. {1, 2, 3, 4, 5}

10. variance

11. The Formulas

12. Variance vs Standard Deviation

13. University Grading System

14. Distribution of Grades on a Bell Curve 1.Find the class average/mean 2.Find the standard deviation 3.Plot it on a bell curve 4.Find your score! 70 60 90 50 80 +10 -10 0

15. Discussion: Make up your own scenario and find the standard deviation Make sure your data is somewhat symmetrical!