1. Measurements are collected from 100 subjects from each oftwo sources. The data yid the following frequency histograms. The number above each rectangle is its height. Sam I l" 3 9 I0 I0 '9' 8 T In! in L A 1'- (.1 II) I? 13 5 (I 1' 3 9 I0 [I 12 I? I4 15 16 Each sample has the same mean, lUJJD. In order to answer (b) and (c) below, refer to the empirical rule for interpreting S, takingr into account the shape of the histogram. Do not try to calculate 5 because you do not have enough information to do so. In addition, you will receive no credit for simply identifying the correct 3; you must provide an explanation. (a) 'What is the most precise oorrect statement that you can make about the numerical value of the median of the data from source 2? Do not explain your answer. Hint Here is a correct statement The median is between 0 and 20. This statement is not precise enough to receive any credit. [b] Among the possibilities 1.50, 100 and 2.50, which is the numerical value of 5 for the data from source 1'? Explain your answer. {c} Among the possibilities LEICI, 1.5!] and 2.00, which is the numerical value of 3 for the data from source 2? Explain your answer 2. The mean and median of Al's n = 3 observations both equal 10. The mean and median of Refs n = 5 observations both equal 13. (a) Carol combines Al's and Eev's data into one collection of n = 8 observations. Can the mean of Carol's data be calculated from the information given? If you think not, just say that. [f you think it can, then calculate Carol's mean. {h} Refer to part (a). Demonstrate, by an explicit example, that there is not enough information to determine Carol's median