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Apply Chebyshev's rule with k = 5 and interpret your answer. . . . Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal rounded to two decimal places as needed.) O A. Chebyshev's rule with k = 5 says that at least % of the observations lie within five standard deviations to either side of the mean. O B. Chebyshev's rule with k = 5 says that exactly % of the observations lie within five standard deviations to either side of the mean. O C. Chebyshev's rule with k = 5 says that % of the observations lie to the left of the mean. O D. Chebyshev's rule with k = 5 says that % of the observations lie to the right of the mean.A quantitative data set has size 70. At least how many observations lie within eight standard deviations to either side of the mean? At least D observations lie within eight standard deviations to either side of the mean. (Round up to the nearest whole number.) From Wikipedia, we found that the law schools of seven of the nine justices of the US. Supreme Court, as of September 9, 2013, are as follows. Yale Yale Columbia E! Harvard Harvard Harvard Harvard a. Determine the mode of the data. b. Decide whether it would be appropriate to use either the mean or the median as a measure of center. Explain your answer. a. Choose the correct answer below. The modes are Harvard and Columbia. There is no mode. The modes are Yale and Columbia. The mode is Columbia. The mode is Yale. The mode is Harvard. The modes are Harvard and Yale. spa-\"rupee? The modes are Harvard, Yale and Columbia. b. Choose the correct answer below. {I} A. Since the data are qualitative, neither the mean nor the median can be used as a measure of center. B. The mean would be an appropriate measure of center because there are no extreme observations. {:1- C. The median would be an appropriate measure of center because it is not strongly affected by the relatively large gap between the smallest and largest frequencies. If} D. Either the mean or the median would be an appropriate measure of center since they are approximately the same. Provided below is a simple data set for you to practice finding descriptive measures. For the data set, complete parts (a) through (c) below. 2, 4, 5, 8 . . . a. Obtain the quartiles. Q1 = Q2 = Q3 = (Type integers or decimals. Do not round.) b. Determine the interquartile range. The interquartile range is . (Type an integer or a decimal. Do not round.) c. Find the five-number summary. (Type integers or decimals. Do not round. Use ascending order.)In a study of the effects of radiation on amphibian embryos, the time it took a sample of seven different species of frogs' and toads' eggs to hatch was recorded. The following table shows the times to hatch, in days. Complete parts (a) through (c) below. 7 6 12 T 5 5 12 D a. Find the mean. The mean is E. (Type an integer or decimal rounded to one decimal place as needed.) b. Find the median. The median is E. (Type an integer or decimal rounded to one decimal place as needed.) c. Find the mode(s). Select the correct choice below and, if necessary, ll in the answer box within your choice. '13 A- The mode(s) is(are) (Use a comma to separate answers as needed.) c: I B. There is no mode