Stem and Leaf Plots



167640064770Stem and Leaf Plots4000020000Stem and Leaf PlotsAlgebra 2 CPName______________________Stats Homework 14723765151130StemLeaf567892 4 6 6 1 5 8 2 4 4 4 5 7 2 3 3 0 2 5 6 7/2 represents 7200StemLeaf567892 4 6 6 1 5 8 2 4 4 4 5 7 2 3 3 0 2 5 6 7/2 represents 72The stem and leaf plot below shows the scores for a 100-point unit exam in a science class.1. What is the highest and lowest score?2. In which 10-point interval did most of the students score?3. How many students received a score of 70 or better?4. How many students received a score less than 70? 5. What is the mean?6. What is the median? 7. What is the mode? 8. What is the range of scores?4647565318135StemLeaf56782 3 3 4 5 6 7 7 7 8 5 5/6 represents 560 ft.00StemLeaf56782 3 3 4 5 6 7 7 7 8 5 5/6 represents 560 ft.The stem and leaf plot below shows the height (in feet) of buildings in San Francisco that are over 500 ft tall.10. How tall is the tallest building?11. What is the mean?12. What is the median?13. What is the mode?14. What is the range of building heights?Each number below represents the age of a worker at Fred’s Fast Food.464756554610StemLeaf00StemLeaf 20 52 21 39 40 58 27 48 36 21 51 26 45 30 49 22 59 50 33 35 28 43 55 2015. Make a stem and leaf plot of the data.16. What is the range of the data?17. What is the median?Each number below represents round lots of XXYZ stock traded each day over a 28-day period. 814 722 144 413 812 118 214 533 219 254 183 733 624 121 325 166 722 766 814 723 325 445 388 239 357 746 537 1554323080-1270StemLeaf00StemLeaf18. Make a stem and leaf plot of the data.19. What is the range?20. What is the median?21. What is the mean?22. What is the mode?23. How many times were more than 300 round lots of stock traded?263525152400StemLeaf2341 3 7 7 80 1 92 4 4 4 6 8 2/3 represents 2300StemLeaf2341 3 7 7 80 1 92 4 4 4 6 8 2/3 represents 233931920152400StemLeaf567892 4 64 50 2 6 6 91 5 7 7 7 8 5/2 represents 5.200StemLeaf567892 4 64 50 2 6 6 91 5 7 7 7 8 5/2 represents 5.224-27, Find the mean, median, mode, and range of each data set.24. 25. 393192012700StemLeaf181920213 4 6 70 0 41 2 2 3 8 83 4 7 20/3 represents 20.300StemLeaf181920213 4 6 70 0 41 2 2 3 8 83 4 7 20/3 represents 20.332004012700StemLeaf5675 7 8 1 3 7 90 4 6 6 5/7 represents 5700StemLeaf5675 7 8 1 3 7 90 4 6 6 5/7 represents 5726. 27. 28-29, Make a stem and leaf plot of the data. Find the mean, median, mode and range of the 447103555245StemLeaf00StemLeafdata.28. The height in inches of children in preschool. 36.2 33.7 37.1 33.9 36.4 34.0 35.5 37.5 33.6 34.7 36.5 37.2 34.5 36.9 37.8 35.84471035-2540StemLeaf00StemLeaf29. The number of eggs 30 ducks laid in a year. 72 68 55 91 43 74 76 93 45 72 69 41 71 83 80 92 67 66 49 51 59 60 50 91 47 62 58 93 49 74Each number below represents the average SAT score for males and females for certain years between 1967 and 1989.373824516510MalesStemFemales9 8 46 5 4 28786878890919293949596973 42 5 7 80 65 87/5 represents 87500MalesStemFemales9 8 46 5 4 28786878890919293949596973 42 5 7 80 65 87/5 represents 87530. What is the median female score?31. What is the median male score?32. What is the range of male scores?33. What is the range of female scores?34. What is the mean male score?35. What is the mean female score?1695450-241305 Number Summary40000200005 Number SummaryAlgebra 2 CPName__________________Stats Homework 2Find the Five Number Summary, the Ranges, and the Outlier Fences for each of the following sets of data. If there are outliers, name them.1. 77, 78, 68, 96, 99, 84, 65290512590805RANGESRangeIQR00RANGESRangeIQR454533090805OUTLIER FENCESOutlier NumberLower FenceUpper Fence00OUTLIER FENCESOutlier NumberLower FenceUpper Fence23050590805FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number00FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest NumberOutliers:______________________2. 30, 90, 40, 70, 50, 150, 80, 60290512590805RANGESRangeIQR00RANGESRangeIQR454533090805OUTLIER FENCESOutlier NumberLower FenceUpper Fence00OUTLIER FENCESOutlier NumberLower FenceUpper Fence23050590805FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number00FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest NumberOutliers:______________________3. 56, 45, 37, 43, 10, 34290512590805RANGESRangeIQR00RANGESRangeIQR454533090805OUTLIER FENCESOutlier NumberLower FenceUpper Fence00OUTLIER FENCESOutlier NumberLower FenceUpper Fence23050590805FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number00FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest NumberOutliers:______________________4. 10, 9, 17, -5, 8, 8, 45, 12, 15290512590805RANGESRangeIQR00RANGESRangeIQR454533090805OUTLIER FENCESOutlier NumberLower FenceUpper Fence00OUTLIER FENCESOutlier NumberLower FenceUpper Fence23050590805FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number00FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest NumberOutliers:______________________10541012065StemLeaf20 132 4 643 3 8 952 2 463 600StemLeaf20 132 4 643 3 8 952 2 463 65. 4939665146685RANGESRangeIQR00RANGESRangeIQR2023110137160FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number00FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number454533022225OUTLIER FENCESOutlier NumberLower FenceUpper Fence00OUTLIER FENCESOutlier NumberLower FenceUpper Fence 2 │ 3 represents 23Outliers:______________________10541012065StemLeaf10 0 124 6 3 2 3 3 47 8 9 51 2 2 300StemLeaf10 0 124 6 3 2 3 3 47 8 9 51 2 2 36. 4939665146685RANGESRangeIQR00RANGESRangeIQR2023110137160FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number00FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number454533022225OUTLIER FENCESOutlier NumberLower FenceUpper Fence00OUTLIER FENCESOutlier NumberLower FenceUpper Fence 2 │ 6 represents 26Outliers:______________________10541012065StemLeaf70 2 5 80 0 93 5 9101 1 4 611 6 7 7 8 00StemLeaf70 2 5 80 0 93 5 9101 1 4 611 6 7 7 8 7. 4939665146685RANGESRangeIQR00RANGESRangeIQR2023110137160FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number00FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number454533022225OUTLIER FENCESOutlier NumberLower FenceUpper Fence00OUTLIER FENCESOutlier NumberLower FenceUpper Fence 10 │ 1 represents 101Outliers:______________________10541012065StemLeaf81 9 92 3 6101 9112 4 8 9 12 3 700StemLeaf81 9 92 3 6101 9112 4 8 9 12 3 78. 4939665146685RANGESRangeIQR00RANGESRangeIQR2023110137160FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number00FIVE NUMBER SUMMARYSmallest NumberLower QuartileMedianUpper QuartileLargest Number454533022225OUTLIER FENCESOutlier NumberLower FenceUpper Fence00OUTLIER FENCESOutlier NumberLower FenceUpper Fence 10 │ 1 represents 101Outliers:______________________1695450-28575Box and Whisker Plots4000020000Box and Whisker PlotsAlgebra 2 CPName________________Stats Homework 3Answer each question for the box and whisker plot to the right3579495133350001. What are the upper and lower extremes?2. What is the median?3712845438154 6 8 10 12 14 160200004 6 8 10 12 14 163. What are the upper and lower quartiles?4. What is the interquartile range?Make a Box and Whisker Plot for the follow data sets.5. Twelve members of the Beck High School Pep Club are selling programs at the football game. The number of program sold by each person is listed below. George 51Anthony 27Kendra 55Eddie 54Vinette 69Marlene 60Carmen 39Jason 46Tomas 46Kohana 53Danny 81Nashoba 23133477081280006. The following high temperatures were recorded during a two-week cold spell in St. Louis. 20° 2° 12° 5° 4° 16° 17° 7° 6° 16° 5° 0° 5° 30°13347707874000676275045085AB020000AB3438525000Compare Box and Whisker Plots A and B7. What is the median of each data set?8. What is the least value in plot A?3524250164465 40 50 60 70 80 90 100020000 40 50 60 70 80 90 1009. What is the greatest value in plot B?10. Which plot has the greater interquartile range?11. What is the lower quartile of each data set? 12. What is the upper quartile of each data set?13. Which plot illustrates the larger range of data? 14. What percent of the data in plot A is greater than 80?15. What percent of the data in plot A is less than 65?Use the data given to complete the following.19 49 73 30 32 46 51 3016. Graph the data on a stem and leaf plot. 17. Transfer the data to a vertical box and whisker plotStemLeaf525272014922520304050607080002030405060708055860951003300018. What are the extremes?19. What is the interquartile range?20. Why are the whiskers unequal?1695450-113030Normal Distribution4000020000Normal DistributionAlgebra 2 CPName__________________Stats Homework 4381952516383000Identify the mean and the standard deviation from the curve.54673516700500-408940336551.2.768985508012 12.6 13.2 13.8 14.4 15 15.60012 12.6 13.2 13.8 14.4 15 15.64699000876305.2 7.4 9.6 11.8 14 17.2 19.4005.2 7.4 9.6 11.8 14 17.2 19.4Use the following information to calculate the mean and the standard deviation.3. Nancy’s scores in chemistry this semester4. Merry’s scores in math this semester are 200, 115, 105, 95, 195, 200 85, 81, 72, 98, 95, 110, 89, 85, 9239928808382000What percentage is represented by the shaded region of the curve?43364152546350024765062230005.6.390144016510000For 7-12, Construct the normal curve and answer the following questions.7. A restaurant is busiest Saturday from 5:00 pm to 8:00 pm. During these hours, the waiting time for customers of groups of 4 or less to be seated is normally distributed – with a mean of 15 minutes and a standard deviation of 2 minutes. a. What is the probability that customers in groups of 4 or less will wait 11 minutes or less to be seated during the busy Saturday night hours? b. What is the probability that customers in groups of 4 or less will wait 19 minutes or more to be seated during the busy Saturday night hours?8. The weights of adult male rhesus monkeys are normally distributed with a mean of 17 pounds and a standard deviation of 3 pounds. a. What is the probability that a monkey has a weight that is one standard deviation below the mean? b. What is the probability that a monkey has a weight higher than that of 3 standard deviations above the mean?9. Mrs. Sung gave a test to her trigonometry class. The scores were normally distributed with a mean of 85 and a standard deviation of 3. a. What percentage of the students had a score that was within one standard deviation of the mean? What range of scores does this represent? b. What percentage of the students had a score that was within two standard deviations of the mean? What range of scores does this represent?10. The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The company makes 10,000 tires a month. a. About how many tires will last less than 20,000 miles? b. About how many tires will last less than 40,000 miles?11. The reaction times for hand-eye coordination test administered to 1800 teenagers are normally distributed with a mean of 0.35 seconds and a standard deviation of 0.05 seconds. a. Between what two numbers do 68% of the teenagers scores lie? b. Between what two numbers do 95% of the teenagers scores lie? c. What is the probability that a teenager selected at random has a reaction time greater than 0.4 second?12. The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3.0 days. a. What percentage of products last less than 3 days? b. What percent of the products last more than 15 days?For 13 - 17, Calculate z-scores and answer the following questions.13. A company produces light bulbs having a life expectancy that is normally distributed with a mean of 2000 hours and a standard deviation of 50 hours a. Find the z-score for the life expectancy of 2085 hours. b. What is the probability that a randomly selected light bulb will last at most 2085 hours?14. The annual per person consumption of apples in the United States is normally distributed with a mean of 16 pounds and a standard deviation of 4 pounds. a. Find the z-score for an annual per person consumption of 22 pounds. b. What is the probability that a randomly selected person in the United States has an annual per person consumption of apples less than 22 pounds?15. Two different obstacle courses were set up for gym class. The times to complete Course A are normally distributed with a mean of 54 seconds and a standard deviation of 6.1 seconds. The times to complete Course B are normally distributed with a mean of 1 minute, 25 seconds and a standard deviation of 8 seconds. a. Matt completed Course A in 59 seconds, find his z-score. b. Julia completed Course B in 1 minute, 31 seconds, find her z-score. c. Which student had the better time? Explain your answer.16. The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it isn’t working properly, and the variability of how much of the soft drink it dispenses is getting greater. The amounts are normally distributed with a standard deviation of 0.2 ounce. a. What is the probability for a soda to be 6.3 ounces. b. What is the probability for a soda to be 5.9 ounces. c. Which one is more likely to happen? Explain your answer.17. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. a. What is the probability for a fly ball to be hit 365 feet? b. What is the probability for a fly ball to be hit 215 feet? ................
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