Statistics Homework Solutions 6

Statistics Homework Solutions 6 - one point, 82, that is...

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6 CHAPTER 1 (b) 1 3 5 7 9 11 13 15 17 19 21 23 25 0 0.05 0.1 0.15 Density Emissions (g/gal) (c) Yes, the shapes of the histograms are the same. 11. Any point more than 1.5 IQR (interquartile range) below the first quartile or above the third quartile is labeled an outlier. To find the IQR, arrange the values in order: 4, 10, 20, 25, 31, 36, 37, 41, 44, 68, 82. There are n 11 values. The first quartile is the value in position 0 25 n 1 3, which is 20. The third quartile is the value in position 0 75 n 1 9, which is 44. The interquartile range is 44 20 24. So 1.5 IQR is equal to 1 5 24 36. There are no points less than 20 36 16, so there are no outliers on the low side. There is
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Unformatted text preview: one point, 82, that is greater than 44 36 80. Therefore 82 is the only outlier. 13. The figure on the left is a sketch of separate histograms for each group. The histogram on the right is a sketch of a histogram for the two groups combined. There is more spread in the combined histogram than in either of the separate ones. Therefore the standard deviation of all 200 heights is greater than 2.5 in. The answer is (ii). 15. (a) IQR = 3rd quartile 1st quartile. A: IQR = 6 02 1 42 4 60, B: IQR = 9 13 5 27 3 86...
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