The standard deviations for extreme 10k finshes for a randomly selected group of women is s = 5 s=5 minutes and of men is s = 10 s=10 minutes. Choose the statement that best summarizes the meaning of the standard deviations.a The distribution of men's finish times is less varied than that of women's finish times. bThe distribution of women's finish times is less varied than that of men's finish times. c On average, women's finish times will be 10 minutes faster than men's finish times. d On average, men's finish times will be 5 minutes faster than the overall finish time.
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!
The standard deviations for extreme 10k finshes for a randomly selected group of women is s = 5 s=5 minutes and of men is s = 10 s=10 minutes. Choose the statement that best summarizes the meaning of the standard deviations.a The distribution of men's finish times is less varied than that of women's finish times. bThe distribution of women's finish times is less varied than that of men's finish times. c On average, women's finish times will be 10 minutes faster than men's finish times. d On average, men's finish times will be 5 minutes faster than the overall finish time.
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