For the second one the numbers are For the following sample of n = 6 scores:0, 11, 5, 10, 5, 5 Explain why the formula for sample variance is different from the formula for population variance. Why is it inappropriate to use the formula forpopulation variance in calculating the variance of a sample?Variance is defined as the mean deviation, and, for a population, is computed as the sum of deviations divided by N. Without someadjustment, the sample variance will be biased and will consistently underestimate the corresponding population value.Variance is defined as the mean squared deviation, and, for a population, is computed as the sum of deviations divided by N. Withoutsome adjustment, the sample variance will be biased and will consistently underestimate the corresponding population value.Variance is defined as the mean squared deviation, and, for a population, is computed as the sum of squared deviations divided by N.Without some adjustment, the sample variance will be biased and will consistently underestimate the corresponding population value. On the basis of your plot, find the sample mean.Mean = M =Make an estimate of the standard deviation from the frequency distribution histogram. (Note: An estimate of the standard deviation can be made bytaking the average of the smallest and the largest deviations (from the mean) of the distribution)For this distribution, the smallest distance from the mean isand the largest distance isThe estimated standarddeviation =Compute S, variance, and standard deviation for the sample.SS =Variance =Standard deviation =How well does your estimate compare with the actual value of s?The calculated standard deviation differs slightly from the estimate.The calculated standard deviation differs greatly from the estimate.The calculated standard deviation is in excellent agreement with the estimate.

Name: For the second one the numbers are For the following sample of n = 6 s
Uploaded: 2024-03-20T07:06:16.000Z
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Description: For the second one the numbers are For the following sample of n = 6 scores:0, 11, 5, 10, 5, 5 Explain why the formula for sample variance is different from the formula for population variance. Why is it inappropriate to use the formula forpopulation

Question

For the second one the numbers are For the following sample of n = 6 scores:0, 11, 5, 10, 5, 5 Explain why the formula for sample variance is different from the formula for population variance. Why is it inappropriate to use the formula forpopulation variance in calculating the variance of a sample?Variance is defined as the mean deviation, and, for a population, is computed as the sum of deviations divided by N. Without someadjustment, the sample variance will be biased and will consistently underestimate the corresponding population value.Variance is defined as the mean squared deviation, and, for a population, is computed as the sum of deviations divided by N. Withoutsome adjustment, the sample variance will be biased and will consistently underestimate the corresponding population value.Variance is defined as the mean squared deviation, and, for a population, is computed as the sum of squared deviations divided by N.Without some adjustment, the sample variance will be biased and will consistently underestimate the corresponding population value. On the basis of your plot, find the sample mean.Mean = M =Make an estimate of the standard deviation from the frequency distribution histogram. (Note: An estimate of the standard deviation can be made bytaking the average of the smallest and the largest deviations (from the mean) of the distribution)For this distribution, the smallest distance from the mean isand the largest distance isThe estimated standarddeviation =Compute S, variance, and standard deviation for the sample.SS =Variance =Standard deviation =How well does your estimate compare with the actual value of s?The calculated standard deviation differs slightly from the estimate.The calculated standard deviation differs greatly from the estimate.The calculated standard deviation is in excellent agreement with the estimate.

Accepted Answer

The sample and population variation is given as
s2=∑i(xi-x)2n-1σ2=∑i(xi-μ)2N
Population mean is…

For the following sample of n = 6 scores: 0, 11, 5, 10, 5, 5