A physician has to prescribe a dose of preventive medicine to all adult women in a town but has to be careful that the dose is not too off from the recomended range according to their BMI. She therefore needs to know the average BMI of the women in town to come up with a single number for the dose of the medicince. In order to get a quick estimate, she measures the BMI of the 6 women who showed up at her clinic on that day and got a number of 22.5. However, the physician knows that she can't just assume this number to be equal to the average BMI of the population. Instead, she looks for the amount of variation of BMI in the 6 patients, computes the sample standard deviation which she finds to be 2.4. She then assumes that the average BMI of women in the town is somewhere between (22.5 – 2.4) = 20.1 and (22.5 + 2.4) = 24.9. Although the physician did not employ a very clear statistical reasoning, show that this is not actually a very bad estimate by computing the confidence level of this interval for the average BMI of the population.

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.