12.3 Analyzing Data 12.4 Standard Deviation.

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12.3 Analyzing Data 12.4 Standard Deviation

Standard Deviation Range: The difference between the greatest and least values Standard Deviation: Measure the variation in the data ***Small standard deviation (compared to data) indicates the data are clustered tightly around the mean A large standard deviation may signify that the results of an experiment are inconclusive.

Measures of Central Tendency Find the mean, median, and mode of the following data: 80, 82, 85, 90, 74, 75, 79, 79, 76

Using the Standard Deviation Using the last example, within how many standard deviations of the mean do all the data values fall? 4

Finding Standard Deviation Find the mean of the data set: Find the difference between each value and the mean: Square each difference: Find the average of these squares: Take the square root to find standard deviation:

Computing the Standard Deviation Given data: 2, 3,4 6, 7, 9 10, 12, 13,14 Find the mean. 𝑥 = L2: “L1- 𝑥 “ L3: L3^2 2nd>LIST>MATH>5:Sum(L3) Divide by n Take sqrt.

Finding Standard Deviation with the Calculator Find the mean and standard deviation of the data for daily energy demand in a small town during August: 7

Finding Standard Deviation with the Calculator Find the mean and standard deviation of the data for daily energy demand in a small town during August: Step 1: Enter data into L1 Step 2: Use the CALC menu of STAT to access the 1-Var Stats option 8

12.3 Analyzing Data 12.4 Standard Deviation 12.3 #3, 4-7, 10, 11, 13 12.4 #1-5, 8, 9, 15, 17-19 9