Student Name: Date: Math Grade 6 Statistics and Probability (SP) Student Quizlet Distributions August 2015 DIRECTIONS: Read the problems below. Put your answers in the spaces provided. 1. Isabella surveyed 7 of her friends about their favorite restaurants. The table below shows their responses. Friend Restaurant Marco Fast Fries Cora Super Shakes Kendal Fast Fries Briana Fast Fries Gabriel Very Veggies Katherine Happy Hamburgers Rodney Super Shakes A. Which histogram shows the data? B. C. D. Page 2 2. The table shows the number of pets for 20 people surveyed. 3 1 2 0 4 5 3 1 3 0 1 2 1 1 4 0 Using this data, create a dot plot on the number line below. Page 3 3. During a hike Hugo walks the number of miles shown on the histogram. What is the total number of miles he walked over 5 days? 4. A. 2 B. 5 C. 7 D. 12 Five classes collected canned food as indicated in the table below. Class Cans Collected 1 2 3 4 5 75 50 25 0 50 How many total cans did classes 3, 4, and 5 collect? Page 4 5. Ten leaves are picked up at random on a nature hike. The length of the leaves is displayed in the line plot below. What is the most likely unit of measurement represented on the number line? A. Number of leaves B. Length of leaves C. Type of leaves D. Color of leaves 6. The table below shows the weight of 15 randomly selected students’ backpacks. 2.2 2.5 4.1 2.7 2.5 1.8 2.7 3.8 3.6 1.6 2.6 3.9 3.0 4.2 2.3 How was this data set most likely collected? Page 5 7. What is the median of the following data set? 36, 73, 84, 60, 65, 73, 17, 46, 9, 57, 11 A. 11 B. 36 C. 57 D. 73 8. Jorge recorded the number of customers at the bowling alley where he works. In 5 days the number of customers was 22, 38, 50, 35, and 35. What was the mean number of customers? 9. What is the interquartile range of the following data set? 36, 73, 84, 60, 65, 73, 17, 46, 9, 57, 11 A. 17 B. 56 C. 57 D. 73 Page 6 10. Jorge recorded the number of customers at the bowling alley where he works. In 5 days the number of customers was 22, 38, 50, 35, and 35. What was the mean number of customers? 11. Based on the line plot above, compare the values of the median and the mean. A. The mean is larger than the median. B. The median is larger than the mean. C. The mean and median are equal. D. The mean and median cannot be determined from the line plot. Page 7 12. Based on the line plot above, which would be the better measure of variability interquartile range or mean absolute deviation? Explain your choice. Page 8 13. Students in a math class decided to repeat a study of Video Game use because they believed that the amount of video games played had changed a great deal in five years. The data from both surveys is presented below. 2010 Survey Hours of Number Hours of Video of Video Games Students Games Played Surveyed Watched 1 0 0 2 1 2 3 1 3 4 2 8 5 4 20 6 5 30 7 7 49 8 6 48 9 3 27 10 1 10 Total 30 197 2015 Survey Hours of Number Hours of Video of Video Games Students Games Played Surveyed Watched 1 2 2 2 1 2 3 0 0 4 2 8 5 3 15 6 4 24 7 7 49 8 5 40 9 3 27 10 3 30 Total 30 197 Part A Step 1: Plot the data from the table graphs provided or create your own graph. Step 2: Describe the statistics of the data (e.g., mean, median, mode and deviation). Page 9 13. Part A continued Step 3: Summarize the data from the two time periods in words that would be clearly understandable to someone who doesn’t know statistics. Part B Do the results make sense to you? Why or Why not? Page 10
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