Exam (elaborations) Math 302 STATS WK 2

Week 2 Test Part 1 of 8 - Measures of the Spread of Data Questions 3.0/ 3.0 Points Question 1 of 20 1.0/ 1.0 Points FTES 8 KB The population FTES for 2005–2006 through 2010–2011 was given in an updated report. The data are reported here. See Attached Excel for Data. Calculate the Variance. Round to two decimal places. Variance: 27901.07 Answer Key: 27901.07 Feedback: use =VAR.S( ) function in Excel. Question 2 of 20 1.0/ 1.0 Points A sample of 8 cats found the following weights in kg. What is the variance? See Attached Excel for Data. cat weight 8 KB A. 0.104 B. 0.295 C. 0.087 D. 0.9 E. 0.076 Answer Key: C Feedback: use =VAR.S function in Excel Question 3 of 20 1.0/ 1.0 Points FTES 8 KB The population FTES for 2005–2006 through 2010–2011 was given in an updated report. The data are reported here. See Attached Excel for Data. Calculate the median. Round to one decimal place. Median: 1814.5 Answer Key: 1814.5 Feedback: use =MEDIAN function in Excel Part 2 of 8 - Box Plot Questions 2.0/ 2.0 Points Question 4 of 20 1.0/ 1.0 Points For a boxplot, the box itself represents what percent of the observations? A. middle 50% B. 100% C. lower 25% D. upper 75% Answer Key: A Feedback: The box is the middle 50% and then 25% on either side of the box. 25% + 50% + 25% = 100% Question 5 of 20 1.0/ 1.0 Points A survey was conducted of 130 purchasers of new BMW 3 series cars, 130 purchasers of new BMW 5 series cars, and 130 purchasers of new BMW 7 series cars. In it, people were asked the age they were when they purchased their car. The following box plots display the results. Which group is most likely to have an outlier? A. BMW 7 Series B. BMW 3 Series C. None of these groups D. BMW 5 Series Answer Key: B Part 3 of 8 - Displaying Data Questions 2.0/ 2.0 Points Question 6 of 20 1.0/ 1.0 Points The following data represents the grades in a statistics course. Below is the frequency distribution and histogram. Class Limit Class Midpoint Frequency Relative Frequency 40 – 49.9 45 2 0.08 50 – 59.9 55 1 0.04 60 – 69.9 65 7 0.28 70 – 79.9 75 6 0.24 80 – 89.9 85 7 0.28 90 – 99.9 95 2 0.04 How many students were in the class? A. 7 B. 95 C. 100 D. 75 E. 25 Answer Key: E Feedback: 2+1+7+6+7+2 Question 7 of 20 1.0/ 1.0 Points Suppose one hundred eleven people who shopped in a special t-shirt store were asked the number of t-shirts they own costing more than $19 each. The percentage of all people who own at most three t-shirts costing more than $19 each is approximately: A. 20.7% B. 40.5% C. 59% D. Cannot be determined Answer Key: B Feedback: 23 + 17 + 5 = 45 45/111 Part 4 of 8 - Measures of Central Tendency Questions 4.0/ 4.0 Points Question 8 of 20 1.0/ 1.0 Points A sample of 8 cats found the following weights in kg. What is the mean weight? Do not round your answer. See Attached Excel for the Data. cat weight 8 KB A. 3.7 kg B. 3.9 kg C. 3.6875 kg D. 3.7125 kg Answer Key: C Feedback: use =AVERAGE function in Excel Question 9 of 20 1.0/ 1.0 Points The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Tasman Sea are listed below. Find the median. See Attached Excel for Data. river length 9 KB A. 56 km B. 65.18 km C. 67.68 km D. 66.34 km E. 64 km Answer Key: E Feedback: use =MEDIAN function in Excel Question 10 of 20 1.0/ 1.0 Points A sample of 8 cats found the following weights in kg. What is the mode weight? See Attached Excel for Data. cat weight 8 KB A. 0 kg B. No mode C. 4.1 kg D. 3.2 kg E. 3.7 kg Answer Key: E Feedback: The value that appears most often is the mode, 3.7 Question 11 of 20 1.0/ 1.0 Points The median can also be described as: A. the middle observation when the data values are arranged in ascending order B. the second quartile C. the 50th percentile D. all of the above Answer Key: D Part 5 of 8 - Measures of the Location of Data Questions 2.0/ 3.0 Points Question 12 of 20 1.0/ 1.0 Points cholesterol 8 KB Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr , 1985). Use Excel to find the 52nd percentile. Round to two decimal places. See Attached Excel for Data. Retrieved from Fill in each of the values below: 52nd percentile 270.08 Answer Key: 270.08 Feedback: Use Excel Functions =PERCENTILE.INC( ,.52) Question 13 of 20 Jesse was ranked 36th in his graduating class of 180 students. At what percentile is Jesse’s ranking? A. 57th percentile B. 63rd percentile C. 20th percentile D. 80th percentile Answer Key: D Feedback: 36/180 = .20 This means he is in the top 20, which is the 80th percentile of the glass. Question 14 of 20 1.0/ 1.0 Points cholesterol 8 KB Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr , 1985). Use Excel to find the 68th percentile. See Attached Excel for Data. Retrieved from Fill in each of the values below: 68th percentile 280 Answer Key: 280 Feedback: Use Excel Functions =PERCENTILE.INC( ,.68) Part 6 of 8 - Ogives, Pareto and Pie Chart Questions 2.0/ 2.0 Points Question 15 of 20 1.0/ 1.0 Points Eyeglassomatic manufactures eyeglasses for different retailers. The number of lenses for different activities is in table. Activity Grind Multicoat Assemble Make Frames Receive Finished Unknown Number of lenses 18872 12105 4333 25880 26991 1508 Grind means that they ground the lenses and put them in frames, multicoat means that they put tinting or scratch resistance coatings on lenses and then put them in frames, assemble means that they receive frames and lenses from other sources and put them together, make frames means that they make the frames and put lenses in from other sources, receive finished means that they received glasses from other source, and unknown means they do not know where the lenses came from. Based on the information above, which is the correct Pareto Chart? A. B. C. Answer Key: A Question 16 of 20 1.0/ 1.0 Points The following graph represents a random sample of car models driven by college students. What was the most common car model? A. Both Nissan and Toyota B. Other C. Both Honda and Nissan D. Chevy E. Toyota F. Nissan G. Both Chevy and Toyota Answer Key: G Part 7 of 8 - Scatter Plots Questions 2.0/ 2.0 Points Question 17 of 20 1.0/ 1.0 Points The following scatterplot shows the hours studied for an exam and the grade for a sample of students. What is the relationship between the variables displayed in the scatterplot? A. Positive B. Negative C. No trend Answer Key: A Feedback: The trend is moving upward in a positive direction Question 18 of 20 1.0/ 1.0 Points A scatter plot would be useful for A. Showing the trend of sales, over time, of five different brands of blank DVDs B. Showing the relative number of sales of four different brands of blank DVDs C. Showing the top selling brands of blank DVDs D. Showing the relationship between the sales of blank CDs and blank DVDs Answer Key: D Part 8 of 8 - Stem and Leaf Questions 2.0/ 2.0 Points Question 19 of 20 1.0/ 1.0 Points The following data show the amount (in ounces) of beverage in randomly selected 16-ounce beverage cans. Create a Stem-Leaf plot for these data. 15.8 16.1 15.2 14.8 15.8 15.9 16.0 15.5 16.1 15.7 Fill in the blanks of table below to complete the Stem-Leaf plot for these data. The key is 15|2 = 15.2. Sort the values for Leaf in increasing order and do not keep spaces or commas between leaves. Stem Leaf 14 8 15 16 011 Answer Key: 8, , 011 Question 20 of 20 1.0/ 1.0 Points A sample of heights of 20 people in cm is recorded below. Which is the correct stems for a stem-and-leaf plot? Height (cm) 167 201 170 185 182 186 172 173 185 178 177 184 169 171 185 178 175 178 162 165 188 175 154 176 A. 16 17 18 19 B. 15 16 17 18 20 C. 15 16 17 18 19 20 D. 15 16 17 18 19 Answer Key: C Feedback: You will still have a place holder for 19 but leave the leaves blank.