JI data sets: oility of data sets? gc of using the range to b. Describe the sample variance using words rather than a formula. Do the same with the population variance. c. Can the variance of a data set ever be negative? Explain. Can the variance ever be smaller than the standard de- viation? Explain. 2.57 Calculate the range, variance, and standard deviation for NW the following samples: a. 4,2, 1, 0, 1 b. 1, 6, 2, 2, 3, 0,3 c. 8, -2, 1, 3, 5, 4, 4, 1, 3, 3 d. 0, 2, 0, 0, -1, 1, -2, 1, 0, -1, 1, -1, 0, -3,-2, -1, 0, 1 2.58 Calculate the variance and standard deviation for samples where a. n = 10. E.x2 = 84, Ex = 20 2 = 380. Ex = 100