Interactive Statistics Q- 5.15

5.15 Determine whether each of the following questions is true or false (a true statement is always true): (a) The distribution X X X X X X X X X X 1 2 W 4 5 has a smaller variance than the distribution X X X X X X X X X X 1 2 3 4 5 (b) For a distribution that is skewed to the right, the mean will always be greater than or equal to the median. (c) If the interquartile range (IQR) of a set of observations is zero, then the range is also zero. (d) If for a given data set, the sample mean is equal to the minimum value, then the range is zero. (e) Suppose that a histogram was obtained for a sample of 20 observations, and its classes went from 10 to 30, with equal class widths of 5 (i.e., the classes were [10,15), [15,20), [20,25), [25,30)). Then the range for the observations is always 30 - 10 = 20