DATA MANAGEMENT TEST. ONE VARIABLE STATS!! HOUR AND 20 MINUTE LONG TEST.

DATA MANAGEMENT TEST. ONE VARIABLE STATS!! HOUR AND 20 MINUTE LONG TEST.
Date:_______________________ Name:________________________ MDM 4U1: Test 4 – One Variable Statistics Comm : _____ App: _____ Total: ______ 9 19 28 2 Marks: –/1 Knowledge and Understanding Multiple choice – Fill in the blank with the best response. For Questions 1 -5 Portable 9 was surveyed to see how much cash everyone had in his or her pocket, rounded to the nearest dollar. The results are shown below. ___ 1. What is the mean of the data? Choose one answer. A. 4.5 B. 5.7 C. 4 D. 11 ___ 2 . What is the median of the data? Choose one answer. A. 4.5 B. 5.7 C. 4 D. 11 ___ 3 . What is the mode of the data? Choose one a nswer. A. 4.5 B. 5.7 C. 4 D. 11 ___ 4 . The biggest advantage of a “relative split bar graph” is that it allows you to easily see: A. the total number of people surveyed B. whether there was a response bias on the part of those surveyed C. if any of the surve y responders are members of the same family D. a breakdown for each category of respondent shown as percentages ___ 5 . Veronica kept records of how many minutes she had to wait for the bus every morning, and con structed the histogram shown. What was the number of days that she had to wait between 6 and 12 minutes? Choose one answer. A. 4 B. 18 C. 7 D. 14 Amount ($): 0, 11, 11, 11, 1, 2, 3, 6, 4, 2, 11, 14, 5, 3, 13, 5, 3, 1, 8, 0 Waiting Time C o u n t 7. Grade 12 students were asked if they had successfully acquired a G2 driv er’s licence. Based on the results shown, comment on a) were the sample sizes fair? Explain. b) does th is graph accurately show whether there is a significant difference between the genders? Explain. (4 marks) Application: 8. The following results are salaries (in thousands of dollars) for all employees in an accounting firm: (a) Indicate the salary at the 4 3rd Percentile. (b) Joe Moma makes $ 38,000 . What per centile is he in ? (4 marks) 9. On social media, Avery posted images of five signs she created for a protest march. They are shared and “liked” the following number of times: 22, 30, 21, 19, 28 a) Calculate the standard deviation for the number o f “ likes ”: b) find the z -score for the post with the least shares (6 marks) Salary Frequency $2 9,000 5 $32,000 7 $35,000 8 $38,000 4 $45,000 3 $61,000 1 10 . The personnel manager for Statsville Marketing Limited considers five criteria when interviewing a job applicant. The manager gives each applicant a score be tween 1 and 5 in each category, with 5 as the highest score. Each category has a weighting between 1 and 3. The following table lists a recent applicant’s scores and the company’s weighting factors. a) Determine the weighted mean score for this job applicant. b) How does this weighted mean differ from the unweighted mean? c) What do the weighting factors indicate about the c ompany’s hiring priorities? Criterion Score, xi Weighting Factor, wi (4 marks) 11 . The length, in seconds, of each of the songs on Shaunessy ’s phone is shown 198 285 424 342 418 210 224 388 265 510 240 342 279 265 352 204 (a) Find Q and Q to calculate the interquartile range . (5 marks) (b) Produce a Box and whisker plot. Be sure to highlight any outliers. Criterion Weight factor Score Education 2 4 Job experi ence 2 2 Interpersonal skills 3 5 Communication skills 3 5 References 1 3 1 3