State your answers on the blanks provided. 1. These are the ages of 12 people at a coffee shop: 10 53 28 32 19 51 38 10 27 37 29 51 a) Determine the median. Median = b) Calculate the mean. Mean = c) Determine the mode. Mode = d) Calculate the range. Range = e) Determine the 3 quartiles for the above set of data. Quartile 1= Quartile 2 = Quartile 3= f) Megan's age is in the 18" percentile for this group. Explain what this percentile means. g) What is Megan's age? Show your work.6. Consider the following graph: Education Price Index (EPI) 160 140 EPI (1986 = 100) 120 100 1986 1990 1994 1908 2002 Year a) Your friend has never heard of a price index. Explain to your friend what the above graph is specifically showing. b) What is the base year? c) What was the Education price index in 1992? What does this mean? d) In what year was the Education price 40% above the base cost? mark e) From the above graph, what was the average annual percent price change for Education prices from 1990 to 2003? Show your work. f) Predict what the Education prices will be in 2014 using the information you found in question 6e. Show your work.2. A salesman for home insulation provided an anonymous ballot to 20 customers out the 600 customers that were in the store that day. The ballot asked the following question: Home insulation is one of the best ways to reduce your monthly heating bill. On a scale of I to 5, where I is unimportant and 5 is extremely important, how important is it to you to have adequate home insulation? The survey results for the above survey will be invalid. Explain two reasons why the survey results will be invalid. 3. The graphs below represent the same data. Select the graph that displays the data most accurately. Graph A Graph B Favourite Cola Drinks Favourite Cola Drinks Extra caffeine 35% Sugar- and 3% 30% caffeine-free Sugar-free 25% More Accurate Graph? 21% 35% 20 15% 10%% Regular 25% Caffeine-free Sugar-free Regular Caffeine-free Sugar- and Extra caffeine 16% caffeine-free 4. Kyle researches the sound quality of a particular stereo. Which source is most likely to provide reliable data? Explain your reasoning Source 1: A review in a consumer magazine Source 2: An advertisement in a magazine 5. For each current price below, calculate the percent price increase or decrease from a base value of $552. a) $613 b) $281