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Expected Values US 5258 3 Credits Internal Finding the Variance

Large spread. Expected Values US 5258 3 Credits Internal Finding the Variance The questions in the assessment will also ask you to find the variance, which is a measure of spread. Small spread. Multiply the values in the x column by the values in the p column.

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Expected Values US 5258 3 Credits Internal Finding the Variance

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  1. Large spread Expected Values US 5258 3 Credits Internal Finding the Variance The questions in the assessment will also ask you to find the variance, which is a measure of spread Small spread

  2. Multiply the values in the x column by the values in the p column Multiply the values in the X 2 column by the value in the p column Add this column up Finally, add this column up Square the values in the x column To find the variance, use the total of the last column, X 2 * p, and subtract the square of the total of the 3rd column, 2 The variance, VAR(X) = Sum(X 2 * p) - 2

  3. (These are the same examples from the Expected Values PowerPoint) Example 1: 10 coins are placed in a bag, three 10 cents, 5 20 cents and two 50 cents. What is the variance of the coins values? The variance, VAR(X) = Sum(X 2 * p) - 2 = 730 – 232 = 201

  4. Example 2: Find the variance from the following table VAR(X) = Sum(X 2 * p) - 2 = 290 – 162 = 34

  5. Example 3: Find the variance from the following table Var(X) = Sum(X 2 * p) - 2 = 7.125 – 2.3752 = 1.48

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