Mod10.docx - Math 190 Module 10 Summarizing Data Graphically and Numerically Standard Deviation(Quantifying Variability relative to the mean Consider

Mod10.docx - Math 190 Module 10 Summarizing Data...

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Math 190 Module 10 Summarizing Data Graphically and Numerically Standard Deviation (Quantifying Variability relative to the mean) Consider the dotplot for sample data set 2, 2, 4, 5, 6, 7, 9 shown below. The mean of these data is 5, marked by the ∆. The table to the right shows the deviations (relative distances) from the mean. 2 − 5 = −3 2 − 5 = −3 4 − 5 = −1 5 − 5 = 0 6 − 5 = 1 7 − 5 = 2 9 − 5 = 4 1. What is the sum of the deviations? 2. What is the MAD (ADM) of these data? 3. Consider the data set 6, 6, 14, 14. Calculate the mean and MAD. 4.Which additions to the data 6, 6, 14, 14 will keep the mean at 10 but increase the MAD? a.Adding 16 and 18 to the distributionb.Adding 4 and 16 to the distributionc.Adding 9 and 11 to the distributiond.Adding 6 and 14 to the distribution 5.Consider the data set: {6, 7, 8, 8, 10, 10, 10, 12, 12, 13, 14}. This distribution has a mean of 10 and an MAD of 2. Which additions to the data set will keep the mean at 10 but decrease the MAD? Choose all that apply
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6.Approximate the Mean Absolute Deviation (MAD) for the data set shown. (You do not need to calculate anything. Just estimate the average deviation from the mean.)
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