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## Question 1 [13 marks]The following data represent monthly salaries (in AED) of teachers from a schoo

Question 1 [13 marks]The following data represent monthly salaries (in AED) of teachers from a school district in AlSafa, Dubai.10,00011,00021,56019,20017,50011,000107,00016,60014,30018,00011,00016,400a) First, assume you work for the school board in Al Safa and do not wish to raise taxes to increasesalaries. Compute the mean, median, and mode, and decide which one would best support yourposition to not raise salaries.[5 marks]b) Second, assume you work for the teachersâ union and want a raise for the teachers. Use the bestmeasure of central location to support your position.[2 marks]c) If the salaries represented every teacher in the school district, would the averages be parametersor statistics?[1 mark]d) Which measure of central location can be misleading when a data set contains outliers? Discuss.[2 marks]e) When you are comparing the measures of central location, does the distribution display anyskewness? Explain.[3 marks]Question 2 [8 marks]Describe the differences between quantitative vs. qualitative data and discrete vs. continuous;ordinal vs. nominal data. State two examples for each of discrete, continuous, ordinal and nominaldata.Question 3 [10 marks]You are looking into a purchasing a medium-sized restaurant in the area of Mayday. You obtain thedata of two restaurants for evaluation. The data of the both restaurants are shown below. 2014JanFebMarAprMayJunJulAugSepOctNovDec First RestaurantGross Revenues (\$)150,000142,880150,000148,03282,93097,27798,827150,000150,000162,754221,342230,000 Second Restaurant2014Gross Revenues (\$)Jan85,674Feb92,000Mar84,299Apr110,902May82,930Jun99,120Jul98,827Aug142,880Sep146,290Oct166,777Nov113,200Dec173,724 Based on the consistency in the gross revenue streams, which of the restaurants is a better option?Analyze the data and show your analysis.[Question 4 [9 marksAssignment 1, Fall 2016/2017Page 1 An article in The Melon News on January 6, 2011 provided the following data on the method forrecording votes in 1990, 2000, and 2010, broken down by number of counties in the Jellio usingeach method and number of registered voters using each method. The results are as follows:Number of Registered Voters UsingMethod199020002010Punch cards330536272710Lever machines448420101858Paper ballots1095174156Optical scan21935573812Electronic7314092337Mixed12517741115a) Construct a contingency table based on column percentages (round up to 1 decimal point).[3 marks]b) Construct a chart for the percentage distribution of registered voters using each method in 1990,2000 and 2010. Place the year in the horizontal axis of the chart.[3 marks]c) Based on the above, describe the change in the method of recording votes.[3 marks] Assignment 1, Fall 2016/2017Page 2