27. If the mean and coefficient of variation of a data
are 15 and 18 respectively, then find the value of
standard deviation.
Answers
Answer:
The simplest statistic is the mean or average. Years ago, when laboratories were beginning to assay controls, it was easy to calculate a mean and use that value as the "target" to be achieved. For example, given the following ten analyses of a control material - 90, 91, 89, 84, 88, 93, 80, 90, 85, 87 - the mean or Xbar is 877/10 or 87.7. [The term Xbar refers to a symbol having a line or bar over the X,mean, however, we will use the term instead of the symbol in the text of these lessons because it is easier to present.]
The mean value characterizes the "central tendency" or "location" of the data. Although the mean is the value most likely to be observed, many of the actual values are different than the mean. When assaying control materials, it is obvious that technologists will not achieve the mean value each and every time a control is analyzed. The values observed will show a dispersion or distribution about the mean, and this distribution needs to be characterized to set a range of acceptable control values.
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