Key Question #18 (Total: 37 marks) 1. Create a histogram given the data below: remember to label and show the units for both axes and title the histogram. (4 marks) Below are percent scores on the latest unit test. Number of students _ 10-19 20-29 30-39 40-49 _ _ 2. Redraw each ofthe distributions below and label on each Where the possible mean, median and mode are located and what type of distribution is represented. (8 marks) A B "WWW - "an.\" - Value value C B Frequency - \"we\" -\" value value 3. The table gives the frequency distribution of annual salaries of employees in a company. 10 000 20 000 30 000 40 000 50 000 60 000 Frequency 2 a. Graph the distribution of salaries. (4 marks) b. Identify the type ofdistribution. (1 mark) c. Calculate the mean, median and mode and label them on the graph. (8 marks) d. The measures of central tendency are given for 3 data sets. In each case, identify a likely distribution for the data. Explain. (6 marks: 2 marks each) a. mean = 34.5 mode = 34.5 median = 34.5 b. mean = 31.5 mode = 38.5 median = 34.5 c. mean = 34.5 mode = 30.5 median = 32.5 e. Data was collected on the prices of homes sold in the last year in a suburban area. Here is the frequency distribution of house prices. Frequency 100 [100 SUE] [100 House Price [$} a. What conclusions can you draw about the prices of houses in this area? Explain. (2 marks) b. Suppose you are a real estate agent trying to entice people to buy in the area. Which measure of central tendency would you use? Explain. (2 marks) 0. Suppose you are a real estate agent trying to encourage people to sell their homes. Which measure of central tendency would you use? Explain. (2 marks)