The parallel histograms below display the heights of men Which of the following statements Is hot tru in each of two countries. The IQR for the distribution of men's heights is larger for country B. Men's Heights by Country The range for the distribution of men's heights is larger in country B. Men's heights in country A are more variable than men's heights in country B. The standard deviation for the distribution of men's heights is smaller in country A. 50 55 60 65 70 75 80 85 90 Height in Inches Countries B.

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!