2.The wine industry in Australia is based on vineyards. The department of agriculture wants to explore the size of vineyards (acres) in South Australia and took a random sample with the following results: 420, 150, 250, 360, 150, 230 a) Calculate the mean, median and mode of the data. ?Using your answers from part a), what is the shape of the distribution of the data set? Briefly explain. ?Calculate and interpret the coefficient of variation of the data. Show basic workings.

3.A store analyzed a sample of its recent sales and recorded the value of the sale and the method of payment. The results are summarized in the following table:

A store analyzed a sample of its recent sales and recorded the value of the sale and the method of payment. The results are summarized in the following table: Size of purchase Method of payment Under $20 $20 to $100 Over $100 Total Cash 65 73 87 225 Credit card 15 33 120 168 Debit card 10 35 62 107 Total 90 141 269 500 Show basic workings. Answers may be left as fractions. a) What is the probability that a customer made a purchase of $20 to $100? b) What is the probability that a cash purchase was $20 to $100? c) What is the probability that a customer made a cash purchase or made a purchase of $20 to $100? d) What is the probability that a customer made a purchase of $20 to $100, given that they paid by cash $20? e) Are the events "payment by cash" and "purchase of $20 to $100" independent? Explain.Question 5 Not yet answered Marked out of 2.00 Flag question Here is a frequency table of weekly rental ($) paid by students: Class ($) Frequency (0, 100] 13 (100, 200] 85 (200, 300] 44 (300, 400] 77 (400, 500] 96 How many students paid more than $100 per week in rent but less than or equal to $400 per week? Answer: G X WHere is a sample of data: Weekly profit ($) 62 63 65 68 64 67 66 What is the value of the median? Give your answer to one decimal place