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Measures of Dispersion

Measures of Dispersion. Objectives. Calculate the standard deviation of a set of data. Determine what percent of a set of data fall within one (two, three) standard deviations of the mean. Vocabulary. measures of dispersion deviation from the mean variance standard deviation. Formulas.

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Measures of Dispersion

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  1. Measures of Dispersion

  2. Objectives • Calculate the standard deviation of a set of data. • Determine what percent of a set of data fall within one (two, three) standard deviations of the mean.

  3. Vocabulary • measures of dispersion • deviation from the mean • variance • standard deviation

  4. Formulas variance (ungrouped data) standard deviation

  5. Alternate Formulas alternate variance (ungrouped data) alternate variance for grouped data where x is the midpoint of the group and n is the sum of the frequencies

  6. Find the mean and standard deviation of each set of data below: • 50 50 50 50 50 • 46 50 50 50 54 • 5 50 50 50 95

  7. The weight (in pounds) of the ten Truly Amazing Dudes are as follows: 152 196 144 139 16683 186 157 140 138 • Find the mean and standard deviation of the weights.What percent of the data lies within one standard deviation of the mean?

  8. According to m&m-Mars blue m&ms should make up 10% of the m&ms in each plain m&m package. Below are the percent of blue m&ms for 6 packages of plain m&ms. Find the mean, the variance, and standard deviation of the percent of blue m&ms in these 6 packages.15% 14% 17% 28% 16% 17%

  9. The table below shows the price per gallon of regular unleaded gasoline in Tempe (in the dark ages). How many stations are selling gas at a price that is within one standard deviation of the mean?

  10. The ages of over 52 million women who gave birth in the United States between June 1987 and June 1988 are given in the table below. Find the standard deviation of the ages of these women.

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