calculate the square of the sum of the three values. 5) calculate the variance 6) calculate the standard deviation
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!

 alt="Calculate the standard deviation of the following set of numbers. Use the formula for the standard deviation (s) shown,
where x represents the values, n is the number of values, and E is the summation symbol, which indicates that you should
add the values.
S =
x -
V n(n – 1)
values: x1 = 17, x2 = 27, x3 = 22
Do not round your answers.
Step 1. Calculate the square of each data value.
x =
17
27
22
Step 2. Determine n times the sum of squares of the three values.
nEx =
4506
Step 3. Calculate the sum of the three values.
Ex=66 I
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