List all possible samples of size n = 3. with replacement, from the population {1, 3, 5}. Calculate the mean of each sample. Find the mean, variance, and standard deviation of the sample means. Compare your results with the mean μ = 3, variance σ 2 = 8/3, and standard deviation σ = 8 / 3 = 1.6 of the population.
List all possible samples of size n = 3. with replacement, from the population {1, 3, 5}. Calculate the mean of each sample. Find the mean, variance, and standard deviation of the sample means. Compare your results with the mean μ = 3, variance σ 2 = 8/3, and standard deviation σ = 8 / 3 = 1.6 of the population.
List all possible samples of size n = 3. with replacement, from the population {1, 3, 5}. Calculate the mean of each sample. Find the mean, variance, and standard deviation of the sample means. Compare your results with the mean μ = 3, variance σ2 = 8/3, and standard deviation
σ
=
8
/
3
=
1.6
of the population.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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