Question

rk (Copy) Score: 0.5 of 1 pt 23 of 35 (21 complete) 2.4.7 Discuss the similarities and the differences between the Empirical Rule and Chebychev's Theorem What is a similarity between the Empirical Rule and Chebychev's Theorem? A. Both do not require the data to have a sample standard deviation. B. Both estimate proportions of the data contained within k standard deviations of the mean. C. Both calculate the variance and standard deviation of a sample. O D. Both apply only to symmetric and bell-shaped distributions. What is a difference between the Empirical Rule and Chebychev's Theorem? O A. Chebychev's Theorem estimates proportions of data contained within infinite standard deviations and the Empirical Rule hasa limit of 5 standard deviations. B. Chebychev's Theorem applies only to distributions which are approximately symmetric or bell-shaped and the Empirical Theorem has no restrictions. Oc. The Empirical Rule assumes the distribution is aproximately symmetric and bell-shaped and Chebychev's Theorem makes no assumptions. D. The Empirical Rule assumes a small data set (less than 50 values) where Chebychev's Theorem has no limit on data size. Click to select your answer and then click Check Answer Clear All All parts showing 28

Answer 1

What is the similarity between the Empirical Rule and Chebychev's Theorem?

B) Both estimate proportions of data contained within k standard deviation of mean.

What is a difference between the Empirical Rule and Chebychev's Theorem?

C)The Empirical Rule assume the distribution is approximately symmetric and bell-shaped and Chebychev's Theorem makes no assumptions.