Let’s calculate the variance of the follow data set: 2, 7, 3, 12, 9. Show The first step is to calculate the mean. The sum is 33 and there are 5 data points. Therefore, the mean is 33 ÷ 5 = 6.6. Then you take each value in data set, subtract the mean and square the difference. For instance, for the first value: (2 - 6.6)2 = 21.16 The squared differences for all values are added: 21.16 + 0.16 + 12.96 + 29.16 + 5.76 = 69.20 The sum is then divided by the number of data points: 69.20 ÷5 = 13.84 The variance is 13.84. To get the standard deviation, you calculate the square root of the variance, which is 3.72.
How do you find the population variance?The population variance is the variance of the population. To calculate the population variance, use the formula σ2=1NN∑i=1(xi−μ)2 σ 2 = 1 N ∑ i = 1 N ( x i − μ ) 2 where N is the size of the population consisting of x1,x2,…
What is the value of SS for the following sample 1/2 6?Scores: 1, 2, 6 0 SS = 17 0 ss = (9)2 SS = 14 5S = 13/2.
What is the value of SS for the following set of scores 0 1 4 5?Answer and Explanation: Scores are: 0,1,4 and 5. Hence the value of SS is 17 and none of the options is correct.
How many standard deviations from the mean will contain at least 99% of the data for any type of distribution?The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
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