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Descriptive Statistics (m3c) - Essay Example

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Report The report presented on the effectiveness of the new drug against prostate cancer, while having good intentions at heart, unfortunately contains errors in the interpretation of the statistical information it contains based on the following data: Number of weeks the patient lived after taking the drug 3 5 6 6 8 8 9 9 9 10 11 45 With this data having a mean of 10.75 and a standard deviation of 11.02, it would seem that the drug performed well since it is higher than the mean number of weeks that a prostate cancer patient lives after receiving a confirmed diagnosis of being in stage 4 is 9.6, with a standard deviation of 3.2…
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Descriptive Statistics (m3c)
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Descriptive Statistics (m3c)

Download file to see previous pages... Thus, the results could be interpreted as having an average distance of 11.02 weeks from the mean of 10.75 weeks, which is very disturbing because the standard deviation is even higher than the mean itself. This further emphasizes the variability of the data set. In this particular data set which includes an extreme data value, the more appropriate measure of central tendency would be the median or the “middle value” of the data set. The median is the most appropriate measure of central tendency in this case because it is not affected by the existence of extreme values (Kazmier, 2004). Rather, it locates the middle value, or the mean of the two middle values, among the values of the data set and considers this appropriately. ...Download file to see next pagesRead More
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