Which of the following statements are TRUE about the Normal Distribution? Check all that apply. About 95% of all data values lie within 1 standard deviation of the mean. Data values farther from the mean are less common than data values closer to the mean. The graph of the Normal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis. The distribution is symmetric with a single peak. Data values are spread evenly around the mean. 50% of the data values lie at or above the mean. The mean, median and mode are all equal and occur at the center of the distribution.
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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