WHAT IS STANDARD DEVIATION? MONA BEHROUZIAN MATH 10H

Central Tendency Mean: Median: Mode:

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

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

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

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

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

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

variance

The Formulas

Variance vs Standard Deviation

University Grading System

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!

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