[Tutorial Exert Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms below are based on random samples of size 30, 50, and 100 from the same population. (i) Sample of size 30 (ii) Sample of size 50 10 9 14 8 12 g7 B 10 g 6 5, 3 4 2 1 2 25 26 27 28 29 @ 24 25 26 27 28 29 @ (iii) Sample of size 100 30 23 Frequency [ o w o v 0 25 26 27 28 29 @ (a) Using the midpoint labels of the three histograms, what would you say about the estimated range of the population data from smallest to largest? Does the bulk of the data seem to be between 25 and 23 in all three histograms? (b) The population distribution from which the samples were drawn is symmetric and mound-shaped, with the top of the mound at 10, 95% of the data between 25 and 29, and 99.7% of data between 24 and 30. How well does each histogram reflect these characteristics