Question: 1. Data Set 1: No outliers 77 77 77 77 77 132 132 132 132 132 Actual Standard deviation = 26 RROT Estimate =12 %

1. Data Set 1: No outliers 77 77 77 77 77 132 132 132 132 132 Actual Standard deviation = 26 RROT Estimate =12 % Error =52% 2. Data Set 2: 1 outlier 63 76 76 76 76 77 77 77 77 155 Actual Standard deviation = 25 RROT Estimate = 23 % Error = 10% 3. Data Set 3: 2 outliers 48 96 98 99 100 100 101 102 114 162 Actual Standard deviation = 24 RROT Estimate = 25 % Error =3% 4. Data Set 4: Normal (Bell-Shaped) Distribution 55 71 78 85 91 97 103 110 119 132 Actual Standard deviation = 21 RROT Estimate =18 % Error = 17% 5. Data Set 5: Uniform Distribution (evenly-spaced values) 61 69 77 85 93 101 109 117 125 133 Actual Standard deviation = 21 RROT Estimate = 15 % Error = 25% Summarize what you learned: a) Does the Range Rule of Thumb estimate more often underestimate or overestimate the actual standard deviation? (3 points) more often underestimate

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