Regents Style Box & Whisker Plot Problems
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1 Name: ate: 1. Robin collected data on the number of hours she watched television on Sunday through Thursday nights for a period of 3 weeks. The data are shown in the table below. Sun Mon Tues Wed Thurs Week Week Week Using an appropriate scale on the number line below, construct a box plot for the 15 values. 2. A community center offers classes for students. The range of the number of students in each class is 13. The median number of students in each class is 9. Which of the following box-and-whisker plots could represent the numbers of students in the classes? A. B. C.. page 1
2 3. The box-and-whisker plot shown below represents 600 scores on a district geometry test. 5. The box and whisker graph shown below represents the results of a survey of the estimated gas mileage of 100 car models. How many students scored between 42 and 56? A. 84 B. 150 C Which statistics -mean, median, mode, range can be determined from this graph? A. mean only B. median only C. range and mean. range and median 4. Corinne is planning a beach vacation in July and is analyzing the daily high temperatures for her potential destination. She would like to choose a destination with a high median temperature and a small interquartile range. She constructed box plots shown in the diagram below. Which destination has a median temperature above 80 degrees and the smallest interquartile range? A. Ocean Beach B. Whispering Palms C. Serene Shores. Pelican Beach 6. The freshman class held a canned food drive for 12 weeks. The results are summarized in the table below. Canned Food rive Results Week Number of Cans Which number represents the second quartile of the number of cans of food collected? A B C page 2
3 7. The high temperatures for 50 cities are shown in the box-and-whisker plot. 8. The box-and-whisker plot below shows the summer salaries of teenagers working in a restaurant. High Temperature for 50 Cities Temperature ( F) Which statement is true about this set of data? A. The lowest high temperature is 70 F. B. Half the cities had a high temperature of 75 F or greater C. The mean of the high temperatures is approximately 75 F.. More cities had high temperatures between 40 F and 70 F than between 84 F and 100 F. Based on the box-and-whisker plot, which of the statements about the summer salaries must be true? A. The least number of salaries are between $500 and $1000. B. The average (mean) salary is $2500. C. There are more teenagers who make over $2500 than teenagers who make less than $ About half the teenagers earn between $500 and $ A movie theater recorded the number of tickets sold daily for a popular movie during the month of June. The box-and-whisker plot shown below represents the data for the number of tickets sold, in hundreds. Which conclusion can be made using this plot? A. The second quartile is 600. B. The mean of the attendance is 400. C. The range of the attendance is 300 to Twenty-five percent of the attendance is between 300 and 400. page 3
4 10. The test scores from Mrs. Gray s math class are shown below. 72, 73, 66, 71, 82, 85, 95, 85, 86, 89, 91, 92 Construct a box-and-whisker plot to display these data. 11. The table shows the batting averages for the Sousa Middle School baseball team. Position Batting Avg. Pitcher.150 Catcher.230 1st Base.280 2nd Base.225 Short Stop.250 3rd Base.200 Left Field.290 Center Field.300 Right Field.270 Create a box-and-whisker plot to represent the data in the table. Be sure to identify the median, the lower and upper quartiles, and the lower and upper extremes. page 4
5 Problem-Attic format version c EducAide Software Licensed for use by Michelle Sims Terms of Use at 1. A correct box plot with Min = 1, Q 1 = 2, Q 2 = 3, Q 3 = 4, Max = 5 is drawn. 04/29/ A B C B minimum=66, first quartile=72.5, median=85, third quartile=90, maximum=95. [plot]; Lower Extreme: Lower Quartile: Median: Upper Quartile: Upper Extreme: 0.300
1 of 18 4/22/2014 4:08 PM Name: 8.8, 8.2, 8.8, 8.6, 8.6, 8.8, 8.4, 8.9, 8.9 93, 87, 78, 96, 78, 81, 75, 94, 83, 88 6.5, 6.8, 6.8, 6.7, 6.4, 6.7 9.8, 9.8, 9.8, 9.1, 9.1, 9.2, 9.9 2 of 18 4/22/2014 4:08
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