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Chapter 3: Q 3.10 (page 101)
We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:
a) Mean
b)Median
c) Mode.
The given data set is
a) Mean
b) Median
c) Mode does not exist, because no value occurs more than once.
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True of False: The mean, median and mode can all be used with quantitative data. Explain your answer.
Obesity. Researchers in obesity wanted to compare the effectiveness of dieting with exercise against dieting without exercise. Seventy-three patients were randomly divided into two groups. Group . composed of patients, was put on a program of dieting with exercise. Group . composed of patients, dieted only. The results for weight loss, in pounds, after months are summarized in the following boxplots. The top boxplot is for Group . and the bottom boxplot is for Group . Use the boxplots to compare the weight losses for the two groups, paying special attention to center and variation.
Identify the statistic that is used to estimate
(a) A population mean.
(b) A population standard deviation.
Copperhead and Tiger Snakes. S. Fearn et al. compare two types of snakes in the article 鈥淏ody Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania鈥� (Australian Journal of Zoology, Vol. 60, No. 3, pp. 159-165). Tiger snakes and lowland copperheads are both large snakes confined to the cooler parts of Tasmania. The weights of the male lowland copperhead in Tasmania have a mean of 812.07 g and a standard deviation of 330.24 g; the weights of the male tiger snake in Tasmania have a mean of 743.65 g and a standard deviation of 336.36 g.
a. Determine the z-scores for both a male lowland copperhead snake and a male tiger snake whose weights are 850 g.
b. Under what conditions would it be reasonable to use z-scores to compare the relative standings of the weights of the two snakes?
c. Assuming that a comparison using z-scores is legitimate, relative to the other snakes of its type, which snake is heavier?
We have provided simple data sets for you to practice finding the descriptive measures discussed in this section. For each data set.
Obtain the quartiles, determine the inter quartile range, find the five-number summary.
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