1. The final grades for the students in Mr. Note's music class are listed below. 83 81 98 81 25 30 66 65 71 88 96 97 53 84 91 55 33 74 76 63 74 78 80 94 41 90 47 88 82 81 67 89 81 92 a) Complete the frequency distribution table. > Interval Tally Frequency [20-30) [31-40) [41-50) [51-60) [61-70) [71-80) [81-90) [91-100) TOTAL Page 1 / 5 - + b) Create a histogram to display the data. Don't forget to title graph and label axes appropriately c) Join the middle of each bar to create a distribution curve. Describe the distribution. 2. Rachel works as a waitress at a local restaurant. Her monthly earnings from March to August are listed below. 1800 1680 1890 1680 1530 1430 a) Determine Rachel's mean, median and mode monthly income. Show your work. b) Determine the range. Show your work. 1 3. Label each graph as normal, bimodal, uniform, left-skewed or right-skewed. F 14 Adult weight School Days Cless Marks Can Win (F) 105 25-35-405 555-715-385-715 155 205 305 405 505 GS 795 ses oes 100 - 401-300 T 4. Match the terms with the definitions: Term Voluntary Sample Convenience Sample Simple Random Sample Answer Definition a) Every nth person is selected b) Each member has an equal chance of being selected c) Members who have chosen to respond d) Members who are most easily to contact 5. Brittney and Jake are salespersons for Company XYZ that produces gadgets and widgets. Their sales numbers for the year are displayed below. 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Brittney Jake 54 51 65 75 47 43 30 31 a) Find the mean sales for both Brittney and Jake. Show your work. 4 Mean (Brittney) = Mean (Jake) = (x-mean)2 b) Calculate the variance and standard deviation for Brittney's sales numbers. Brittney's Data (x) (x - mean) c) Calculate the variance and standard deviation for Jake's sales numbers. (x-mean) Jake's Data (x) (x - mean) 54 51 65 47 75 43 30 31 Total Total variance = variance = standard deviation = standard deviation = d) At the end of the year both Brittney and Jake ask their employer for a pay raise. Who deserves the raise? Brittney or Jake? Explain your reasoning. 2 6. Below is a frequency distribution table for the amount of time spent on math homework. Calculate the percent for each time interval and draw one conclusion from the data given. Time Spent on Math Homework Less than 10 min 11-20 min 21-30 min More than 30 min Frequency Percent 6 4 11 4 TOTAL 25 100% Conclusion: 7. The principal notices many students are arriving late every day. She asks the secretary to record the reasons students give on their late slips for one week so she can find a solution to the problem. a) Identify who is the population and who is the sample. > Population: Sample: b) Is this a primary or secondary source of data? Explain. 8. Identify the type of bias in each survey question. a) A Canadian Football League team hands out a survey at a home game. The survey asks: "Should the provincial and federal governments help build a new stadium and save the team from being relocated?" b) Shoppers at a mall are asked: "Are you against the poor decision made by a developer to close this mall in order to build a subdivision, making the traffic in the area more congested?" 9. Rewrite each survey question from question #8 above to remove the bias. 4 10. Pick 2 terms and explain what they mean: discrete, continuous or categorical data: 2