A dance compelition occurred last week where participants were scored on a scale of 0-80. The mean and standard deviation of the competition were 68 and 6, respectively. Your instructor told you that 40 percent of the dancers had a score of 75 or above. Given this information, you could conclude that Scores were not normally distributed The scores ere normally distributed Your score of 80 would probably be an extreme value None of the other answers. Such a set of scores could not happen
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!
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