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Chapter12 - CHAPTER 12 Section 12.1 1 a Stem and Leaf...

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351 CHAPTER 12 Section 12.1 1. a. Stem and Leaf display of temp: 17 0 17 23 stem = tens 17 445 leaf = ones 17 67 17 18 0000011 18 2222 18 445 18 6 18 8 180 appears to be a typical value for this data. The distribution is reasonably symmetric in appearance and somewhat bell-shaped. The variation in the data is fairly small since the range of values ( 188 – 170 = 18) is fairly small compared to the typical value of 180. 0 889 1 0000 stem = ones 1 3 leaf = tenths 1 4444 1 66 1 8889 2 11 2 2 5 2 6 2 3 00 For the ratio data, a typical value is around 1.6 and the distribution appears to be positively skewed. The variation in the data is large since the range of the data (3.08 - .84 = 2.24) is very large compared to the typical value of 1.6. The two largest values could be outliers. b. The efficiency ratio is not uniquely determined by temperature since there are several instances in the data of equal temperatures associated with different efficiency ratios. For example, the five observations with temperatures of 180 each have different efficiency ratios.
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