Assignment 3, Problem 5

Assignment 3, Problem 5 - distribution, the larger the MAD...

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Problem 5 The class mean of the number in a family is 4.5. Here are eight distributions with the mean of 4.5 and sample size of 16. Distribution 1 2 3 4 5 6 7 8 1 4 6 4 2 8 2 10 1 2 4 5 6 3 8 3 10 1 3 4 3 7 4 8 2 10 1 4 4 4 2 5 8 3 10 1 5 4 5 8 6 8 2 10 4 6 4 2 4 7 8 3 2 4 7 4 5 6 6 8 2 2 4 8 4 5 3 7 8 3 2 4 9 5 5 6 3 1 6 2 5 10 5 6 4 4 1 7 2 5 11 5 5 5 4 1 6 2 5 12 5 6 1 2 1 7 2 5 13 5 4 2 6 1 6 2 8 14 5 5 3 3 1 7 2 8 15 5 2 6 4 1 6 2 8 16 5 4 5 6 1 7 2 8 Mean 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 MAD 0.5 1 1.625 1.4375 3.5 2 3.4375 2 The MAD is the average distance from the mean. Therefore, the more of a spread in the
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Unformatted text preview: distribution, the larger the MAD will be usually. Not only is there a need of a large spread, but the less dense the center of the distribution, the larger the MAD will be also....
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