Movie lengths II Exercise 27 looked at the run-ning times of movies released in 2011. The stan-dard deviation of these running times is s = 17.3 minutes, and the quartiles are Q1 = 97 minutes andQ3 = 115 minutes.a) Write a sentence or two describing the spread inrunning times based oni) the quartiles.ii) the standard deviation.b) Do you have any concerns about using either of thesedescriptions of spread? Explain.
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!
ning times of movies released in 2011. The stan-
dard deviation of these running times is s = 17.3
Q3 = 115 minutes.
a) Write a sentence or two describing the spread in
running times based on
i) the quartiles.
ii) the standard deviation.
b) Do you have any concerns about using either of these
descriptions of spread? Explain.
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