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A variance or standard deviation of zero indicates that all the values are identical. Variance is the mean of the squares of the deviations (i.e., difference in values from the mean), and the standard deviation is the square root of that variance. Standard deviation is used to identify outliers in the data.

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Simple Example of Calculating Standard Deviation. Let's say we wanted to calculate the standard deviation for the amounts of gold coins pirates on a pirate ship have. There are 100 pirates on the ship. In statistical terms this means we have a population of 100.

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standard deviation σ = 10 points. What percentage of. students got a score between 130 and 170 points in that. deviation gives a very good approximation to the. probabilities for the binomial distribution. Approximating Binomial with Normal.

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Mean and Standard deviation of a binomial random variable: If X~B(n,p) then E(X)= np and Var (X)= npq. The standard deviation of X is . Ex. A test used to detect a certain disease is positive for the disease in 15% of the people who take the test. If 100 people are selected at random, what is the expected number who will test positive? Standard deviation helps us quantify the variability in sales. Unit 7 Normal Curves A nature preserve that's tracked bird migrations through New England for decades records tons of bird-related data; everything from wingspan measurements to arrival dates provides examples of normal distributions.

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To use the normal distribution to approximate the binomial, what are the mean and standard deviation? µ = 25 and σ = 3.5355 A binomial distribution has 100 trials (n = 100) with a probability of success of 0.25 (π = 0.25).

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in a Binomial distribution, you get the Binomial Probability Distribution (pdf). You can draw a histogram of the pdf and find the mean, variance, and standard deviation of it. Finding the Probability Distribution, Mean, Variance, and Standard Deviation of a Binomial Distribution.