Please help

12. DETAILS SOWRECMATH3 30.5.002. Answer the questions about the following four sets of data. A: 67, 76, 64, 43, 56 B: 96, 76, 37, 53, 45 C: 65, 67, 70, 68, 69 D: 65, 67, 70, 68, 15 (a) Which set would you predict has the larger standard deviation, A or B? Why? Set A has a larger standard deviation because on average the values tend to be closer together than In set B. Set B has a larger standard deviation because on average the values tend to be closer together than in set A. Set A has a larger standard deviation because there is one unusually large value in set A. Set B has a larger standard deviation because there is one unusually large value in set B. The standard deviations for sets A and B are identical because on average the values have the exact same amount of variability. (b) Which set would you predict has the larger standard deviation, C or D? Why? Set C has a larger standard deviation because there is one unusually small value in set C. Set D has a larger standard deviation because there is one unusually small value in set D. Set D has a larger standard deviation because on average the values tend to be closer together than in set C. Set C has a larger standard deviation because on average the values tend to be closer together than in set D. The standard deviations for sets C and D are identical because on average the values have the exact same amount of variability. (c) Which of the four sets would you predict has the largest standard deviation? Why? Set B has the largest standard deviation because on average the variability among the numbers seems to be the largest. Set A has the largest standard deviation because on average the variability among the numbers seems to be the largest. Set A has the largest standard deviation because on average the variability among the numbers seems to be the smallest. Set C has the largest standard deviation because on average the variability among the numbers seems to be the largest. Set D has the largest standard deviation because on average the variability among the numbers seems to be the smallest. (d) Which of the four sets would you predict has the smallest standard deviation? Why? Set C has the smallest standard deviation because on average the variability among the numbers seems to be the smallest. Set A has the smallest standard deviation because on average the variability among the numbers seems to be the largest. Set D has the smallest standard deviation because on average the variability among the numbers seems to be the largest. Set B has the smallest standard deviation because on average the variability among the numbers seems to be the smallest. Set D has the smallest standard deviation because on average the variability among the numbers seems to be the smallest