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1. Suppose the heights (in inches) of Rosie, Sam, Merry, Pippin, Frodo, Bilbo and Gollum are as follows: (40, 42, 43, 42, 40, 39,40). Calculate the mean height. a. b. Calculate the median height. c. Calculate the variance d. Calculate the standard deviation. e. Find the 5 number summary of the data. f. Draw a box plot for the data. 2. Below is an incomplete Frequency Chart for the age of death of 50 dwarves in Middle Earth a. Complete the table by filling in the missing values. Relative Frequency 8% Frequency Interval 50 Bin # < 100 100 s x 150 150 I $ 200 200 < 250 6300 Sx 350 350 sx <400
b. Draw a histogram for the data set. 3. The following stem & leaf diagram represents Hair Mercury Content of Seychelles Fishermen. The stems are tens and the leaves are ones. What shape is the distribution? Leaf 6 9 38877 1347899 2 3 Stem 1 257899 0358 3 5 4. The relative frequency table below represents the data on cholesterol levels of a group of patients Cholesterol Level Relative 195- under 200 05 200- under 205 205- under 210 .20 Frequency 10 25 210- under 215 215- under 220 35 220- under 225 05 a. What percentage of patients have levels of cholesterol of 210 or higher? Given that the number of patients is 60, how many patients have levels of cholesterol under 215? b.
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