By Arthur H. Hall (auth.)
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Extra resources for An Introduction to Statistics
Millions. It also happens that data may be given in different units with the result that means and standard deviations appear to be widely divergent. These problems are overcome by comparing the standard deviation with the mean. The fraction Standard Deviation Mean is called the Coefficient of Variation. 2. Note that in some texts the coefficient of variation is given as a percentage. 33 r_xample In 5 Test matches cricketers A and B scored runs as shown. 8 When means and standard deviations are considered together it seems fairly clear that A is more likely to be out without scoring.
Five years' trading figures for a business house of 70, 90, 100, II 0 and 130 million£ have a mean of£ 100 million and a standard deviation of £20 million. e. millions. It also happens that data may be given in different units with the result that means and standard deviations appear to be widely divergent. These problems are overcome by comparing the standard deviation with the mean. The fraction Standard Deviation Mean is called the Coefficient of Variation. 2. Note that in some texts the coefficient of variation is given as a percentage.
3 The Median Here again a visual approach is helpful. We use that part of the cumulative frequency diagram which includes the median group. Using the same data rearranged as cumulative frequencies, we have Class 3. 5 The median is the 18th value. 5 or less. Figure 7B 38 The point E fixes the median value. 43 These differ from the results of the raw data because grouping has taken place, and with it has been introduced the inference that in grouping the distribution is spread evenly throughout each class.
An Introduction to Statistics by Arthur H. Hall (auth.)