You can use R to complete pazta of these questions. If you use R. y...

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You can use R to complete pazta of these questions. If you use R. you must pecivide the code used in the write-up 1. marks 1 44 #53. For part (b). create the bexplot in R. 2 (4 marks I For a set 71, 72. of data Tos the sample variance can be calculated - , 1 This formula has a nice interpretation, however, the textbook suggests an - - alternate formula is easier to computes :- n 1 Show that the two formulas are equivalent. 3. B (9 marks - (1,2,3,5,8) I and C Determine the set of elements the Consider the universal set s -(2621-10585 10) & let A - (= E UI (2) is prime) corresponds to each of the following: (a) AnB (b) AUC (e) c (d) (AUC) (e) An(BUC) (f) and (g) BNC 53. A mutual fund is a professionally managed investment scheme that pools money from many investors and invests in a variety of securities. Growth funds focus pri- marily on increasing the value of investments, whereas blended funds seek a balance between current income and growth. Here is data on the expense ratio (expenses as a % of assets, from www.morningstar.com) for sam- ples of 20 large-cap balanced funds and 20 large-cap nies in which the funds invest; the population sizes are growth funds ("large-cap" refers to the sizes of compa- 825 and 762, respectively): B1 1.03 1.23 1.10 1.64 1.27 1.30 1.25 0.78 1.05 0.94 2.86 0.64 1.05 0.75 0.79 1.61 0.09 1.26 0.93 0.84 Gr 0.52 1.06 1.26 0.99 2.17 1.10 1.07 1.55 0.91 1.81 0.79 1.39 2.05 1.02 0.62 1.10 1.78 1.52 1.01 o 1.15

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B1=[1.03 1.23 1.1 1.64 1.3 1.27 1.25 0.78 1.05 0.64...
    0.94 2.86 1.05 0.75 0.09 0.79 1.61 1.26 0.93 0.84];

Gr=[0.52 1.06 1.26 2.17 1.55 0.99 1.1 1.07 1.81 2.05...
    0.91 0.79 1.39 0.62 1.52 1.02 1.1 1.78 1.01 1.15];

meanB1=mean(B1)
meanGr=mean(Gr)
medianB1=median(B1)
medianGr...

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