3) a) Suppose that you received the following nine prices ( in thousand rupees ) of laptop computers 126 122 113 112 x 1

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3)
a) Suppose that you received the following nine prices ( inthousand rupees ) of laptop computers
126 122 113 112 x 119 124 111 135
Here x is some number that is unclear toread. Determine the shortest possible range for the median pricebased on the 9 values you received. Justify your answer.
b) Consider the following data set.
50 42 30 20 12 02 08 12 21 30
42 50 50 44 31 24 14 15 23 33
44 44 35 23 23 36 44 46 36 25
28 37 46 47 39 28 28 48 48 29
I. Draw the stem – leaf diagram.
II. What is the highest and lowest value?
III. What is the mode and median?
IV. What is the inter quartile range?
c) While watching a game of champions league football in a cafe.You observe someone who is clearly supporting Manchester united inthe game. What is the probability that they were born within 25miles of Manchester?
Assume that the probability that a randomly selected person in atypical local bar environment is born within 25 miles of Manchesteris ½ and the chance that a person born within 25 miles ofManchester supports united is 7/10. The probability that a personnot born within 25 miles of Manchester supports united withprobability 1/10.