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Standard Deviation

Standard Deviation. Unit 2, Day 6. Definition:. The standard deviation measures a typical deviation from the mean The larger the standard deviation, the greater the spread (variability) of the data set. Steps for calculating Standard Deviation. Find the mean of the data set

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Standard Deviation

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  1. Standard Deviation Unit 2, Day 6

  2. Definition: • The standard deviationmeasures a typical deviation from the mean • The larger the standard deviation, the greater the spread (variability) of the data set.

  3. Steps for calculating Standard Deviation • Find the mean of the data set • Calculate the deviations from the mean • Square the deviations from the mean • Add up the squared deviations • Divide by n – 1 (n = number of values) • Take the square root

  4. A small car dealership has 12 sedan cars on its lot. The fuel efficiency (mpg) values of the cars are given in the table below. Complete the table as directed below.

  5. Calculate the mean fuel efficiency for these cars. • Calculate the deviations from the mean, and write your answers in the second row of the table. • Square the deviations from the mean, and write the squared deviations in the third row of the table. • Find the sum of the squared deviations. • What is the value of for this data set? Divide the sum of the squared deviations by n - 1. • Take the square root of your answer to (e) to find the standard deviation of the fuel efficiencies of these cars. Round your answer to the nearest hundredth.

  6. The same dealership has six SUVs on its lot. The fuel efficiencies (in miles per gallon) of these cars are shown below. 21 21 21 30 28 24 Calculate the mean and the standard deviation of these values.

  7. Recap: • Standard deviation: • Please note: the video divides by n, but NY State’s curriculum has us divide by n – 1.

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