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GRE Quantitative Reasoning: Data Analysis

Averages, spread, probability, counting, and tables described in words.

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  1. 1.At a community kitchen, four seat cards showed 6, 10, 8, and 4 bowls. What is the mean number of bowls?

  2. 2.Five garden rows gave tomato counts of 3, 9, 4, 7, and 5. What is the median count?

  3. 3.Hour labels on a dock raffle were 2, 5, 2, 8, 5, 2, and 6. What is the mode?

  4. 4.A pottery workshop logged firing times of 2, 6, 4, and 8 hours. Quantity A: the mean of the four times Quantity B: the median of the four times

  5. 5.One morning's bus delays, in minutes, were 1, 6, 4, 9, and 3. What is the range?

  6. 6.During a dock raffle, a glass jar contains 2 red tickets and 6 blue tickets. A visitor draws one ticket without looking. What is the probability that the ticket is red?

  7. 7.A garden club will mulch 2 beds chosen from 5 raised beds. Order does not matter. How many choices are there?

  8. 8.Five workshop shifts lasted 1, 2, 3, 4, and 5 hours. Quantity A: the mean length of the five shifts Quantity B: the median length of the five shifts

  9. 9.Four ferry crews reported 12, 4, 8, and 6 passengers. What is the median count?

  10. 10.Five print jobs used 3, 7, 5, 9, and 6 pages. What is the mean number of pages?

  11. 11.Choir folders were weighed and then ordered from lightest to heaviest: 2, 3, 5, 8, and 9 ounces. What is the interquartile range?

  12. 12.Two market stalls posted morning sales. List A: 4, 4, 5, and 7 List B: 1, 6, 6, and 8 Quantity A: the range of List A Quantity B: the range of List B

  13. 13.A dock lines up 3 distinct canoes chosen from 5 canoes, and the order of the line matters. How many lines are possible?

  14. 14.Of 10 hostel bunks, 6 are by a window, and 2 of those window bunks have curtains. Given that a bunk is by a window, what is the probability that it has a curtain?

  15. 15.Of 20 library volunteers, 12 shelve books, 9 run the desk, and 4 do both. How many volunteers do neither task?

  16. 16.The mean of five garden-row yields is 8 pounds. Quantity A: the median of those five yields Quantity B: 8 pounds

  17. 17.Which list of bus wait times, in minutes, has the greater spread when spread is measured by the range? List P: 6, 6, and 14 List Q: 8, 10, and 12

  18. 18.A word chart of kite ribbons shows red 8, yellow 12, and blue 20. What percent of the ribbons are yellow?

  19. 19.A drawer has a 1/2 chance of holding a spare key, and a separate box has a 1/5 chance of holding tape. The chances are independent. What is the probability that both are present?

  20. 20.A planner is counting two different schedules. Quantity A: the number of ways to choose 2 routes from 4 bus routes when order does not matter Quantity B: the number of ways to choose 1 shift from 6 workshop shifts

  21. 21.Six bakery trays held 1, 4, 2, 9, 3, and 7 rolls. What is the median number of rolls?

  22. 22.Four climbers finished 5, 11, 7, and 9 routes. What is the mean number of routes?

  23. 23.From 6 seed packets, a gardener plants 3. How many different sets of 3 packets can be chosen?

  24. 24.Four quiz scores on a workshop checklist have a range of 10 points. Quantity A: the highest of the four scores Quantity B: 18

  25. 25.Five orchard crates weighed 15, 11, 18, 14, and 12 pounds. What is the range of the weights?

  26. 26.Rehearsal-room hour labels were 4, 7, 4, 9, 7, 7, and 3. What is the mode?

  27. 27.Soup servings were ordered from smallest to largest: 1, 4, 6, 10, and 12. What is the lower quartile, Q1?

  28. 28.Three greenhouse pots held 1, 2, and 9 seedlings. Quantity A: the median number of seedlings Quantity B: the mean number of seedlings

  29. 29.The museum desk keeps a tin of 3 green tickets, 1 gold ticket, and 4 white tickets. The clerk draws one ticket for a prize. What is the probability that the prize ticket is gold?

  30. 30.A word chart of Saturday bus boardings shows North 46, East 31, and West 28. How many more boardings were on North than on East?

  31. 31.Five sorted trail times, in minutes, are 14, 16, 18, 21, and 25. The middle time is the 50th percentile. What is that time?

  32. 32.Five dock crates weigh 2, 4, 6, 8, and 10 pounds. Quantity A: the interquartile range of the five weights Quantity B: the mean of the five weights

  33. 33.Of 18 museum guides, 11 lead tours, 8 staff the desk, and 5 do both. How many guides lead tours but do not staff the desk?

  34. 34.A director assigns an ordered pair of opening speakers, choosing 2 different people from 7 volunteers. How many assignments are there?

  35. 35.Over four days, a bike shop closed 2, 8, 5, and 5 repair tickets. What is the mean number closed per day?

  36. 36.Compare the spread of two kiln readings by the range. List A: 5, 5, 5, and 5 List B: 3, 5, and 7 Quantity A: the range of List A Quantity B: the range of List B

  37. 37.Seven postal bins held 6, 2, 9, 4, 3, 8, and 5 letters. What is the median?

  38. 38.A jar has 4 red tickets and 2 blue tickets. Two tickets are drawn one after another, without replacement. What is the probability that both are red?

  39. 39.Swim-lesson lanes were timed and lined up from shortest to longest: 2, 5, 6, 7, 10, and 14 minutes. What is the interquartile range?

  40. 40.A workshop runs on 7 afternoons. Quantity A: the number of ways to choose 2 of the 7 afternoons Quantity B: the number of ways to choose 5 of the 7 afternoons

  41. 41.Which list of garden-row heights, in inches, has the greater spread by range? List M: 8, 9, 10, and 11 List N: 4, 9, 9, and 15

  42. 42.A cook tastes 2 kettles chosen from 7 soup kettles. Order does not matter. How many pairs are possible?

  43. 43.Of 12 ferry passengers, 8 carry a bag, and 4 of those bag carriers also hold a ticket stub. Given that a passenger carries a bag, what is the probability of also holding a stub?

  44. 44.Five positive crate counts have a mean of 12, and one of the counts is 12. Quantity A: the range of the five counts Quantity B: 4

  45. 45.A word table of loaves has a Tuesday row listing rye 6, oat 5, and wheat 7. How many loaves are in that Tuesday row?

  46. 46.Four nights at a small hostel had 3, 9, 6, and 2 guest check-ins. What is the mean number of check-ins?

  47. 47.Resting pulse rates at a clinic follow a normal distribution with mean 70. About 68 percent of the values fall within one standard deviation of the mean. Which statement follows?

  48. 48.Eight bus delays have a median of 6 minutes. Quantity A: the mean of the eight delays Quantity B: 6 minutes

  49. 49.Five swimmers completed 12, 4, 9, 15, and 7 laps. What is the median?

  50. 50.A librarian sets aside 1 cart from 6 display carts. How many choices are there?

  51. 51.A pottery booth mixes 5 pink tickets and 3 gray tickets in a bowl for a glaze drawing. One ticket is taken. What is the probability that it is gray?

  52. 52.The interquartile range of a list of crate weights is 4 pounds. Quantity A: the range of that list Quantity B: 4 pounds

  53. 53.Five ribbon lengths, in inches, were 7, 19, 11, 8, and 13. What is the range?

  54. 54.Of 15 choir members, 10 sing, 7 play piano, and 4 do both. How many members play piano but do not sing?

  55. 55.Ten sorted bus times include exactly 8 times that are 18 minutes or less. What percent of the 10 times are 18 minutes or less?

  56. 56.Three workshop ratings have a mode of 4. Quantity A: the mean of the three ratings Quantity B: 4

  57. 57.Market basket sizes were 3, 8, 3, 5, 8, 3, and 1 items. What is the mode?

  58. 58.All 4 distinct badges are arranged in one row. How many orders are possible?

  59. 59.A community plot recorded pepper counts of 10, 2, 6, and 6. What is the mean?

  60. 60.A coach is filling two lanes from 5 swimmers. Quantity A: the number of ways to choose 2 of the 5 swimmers when order does not matter Quantity B: the number of ways to assign 2 of the 5 swimmers to first and second start when order matters

  61. 61.Pencil cups on a shelf, already in nondecreasing order, hold 4, 4, 7, 9, and 11 pencils. What is the interquartile range?

  62. 62.The chance a kiln shelf is free is 2/3, and the chance a glaze jar is full is 1/4. The two events are independent. What is the probability that the shelf is free and the jar is full?

  63. 63.A word chart of garden flats shows basil 5, mint 5, and dill 15. What percent of the flats are dill?

  64. 64.On a workshop card, a clerk wrote four positive integers whose mean is 5. Quantity A: the largest of the four integers Quantity B: 8

  65. 65.Eight ferry crates held 2, 9, 4, 4, 7, 11, 6, and 8 items. What is the median?

  66. 66.One ticket is drawn from a jar of 2 red tickets, 3 blue tickets, and 5 yellow tickets. What is the probability that the ticket is red or blue?

  67. 67.From 5 rehearsal rooms, a stage crew opens exactly 3. How many ways can the crew choose the rooms?

  68. 68.A jar holds 1 red ticket and 3 blue tickets. One ticket is drawn. Quantity A: the probability that the ticket is red Quantity B: 1/2

  69. 69.Which list of shift lengths, in hours, has the greater spread by range? List R: 6, 7, 7, and 8 List S: 2, 7, 7, and 13

  70. 70.Of 9 dock workers, 6 wear gloves, and 2 of the glove wearers also wear hats. Given that a worker wears gloves, what is the probability that the worker wears a hat?

  71. 71.Five kite stands sold 4, 0, 7, 3, and 6 kites. What is the mean number sold?

  72. 72.Finish times on a charity walk are normally distributed with mean 50 minutes. About 68 percent of the values fall within one standard deviation of the mean. Quantity A: the number of minutes in one standard deviation Quantity B: 8

  73. 73.Of 16 print-shop aides, 9 fold pages, 8 bind books, and 3 do both. How many aides do neither job?

  74. 74.Five copy-machine jobs took 3, 14, 5, 9, and 6 minutes. What is the range of the times?

  75. 75.Before choir rehearsal, someone fills a cup with 4 striped tickets and 4 plain tickets, then picks one. What is the probability of picking a striped ticket?

  76. 76.Of 12 students in a clay workshop, 8 take paint and 5 take clay. Exactly 3 take both. Quantity A: the probability that a student who takes paint also takes clay Quantity B: the probability that a student takes paint

  77. 77.Honey jars were lined up by increasing weight: 3, 5, 6, 8, and 20 pounds. What is the upper quartile, Q3?

  78. 78.A guide picks 2 speakers, first and second, from 6 lifeguards. How many ordered pairs are possible?

  79. 79.A word table of paint cans shows gloss 22, satin 17, and matte 9. How many fewer matte cans are there than gloss cans?

  80. 80.In a sorted list of 5 basket weights, the 50th percentile is 9 pounds. That weight is the middle one. Quantity A: the mean of the five weights Quantity B: 9 pounds

  81. 81.Six cooling racks held 8, 1, 5, 2, 6, and 3 pies. What is the median?

  82. 82.Daily muffin counts at a bakery are normally distributed with mean 40. About 68 percent of the values fall within one standard deviation of the mean. Which consequence follows?

  83. 83.A gardener will leave 2 of 6 plots unwatered. How many ways can those 2 plots be chosen?

  84. 84.Two spool counts are being compared. Quantity A: the median of 2, 3, 10, and 11 Quantity B: the median of 2, 8, 9, and 11

  85. 85.Practice draws from a ticket jar came out blue, gold, blue, red, gold, and gold. What is the mode?

  86. 86.A book cart was refilled with 5, 14, and 8 books on three days. What is the mean number of books?

  87. 87.Four sorted donation counts are 3, 6, 10, and 14. What percent of these counts are at or below 3?

  88. 88.Six rowers are available for two jobs. Quantity A: the number of ways to assign a captain and a different mate, where order matters Quantity B: twice the number of ways to choose 2 of the 6 rowers when order does not matter

  89. 89.Two separate jars are drawn once each. The chance of a star ticket from the first jar is 1/3, and the chance of a star ticket from the second jar is also 1/3. The draws are independent. What is the probability that both tickets are stars?

  90. 90.A fair booth recorded visits in increasing order: 1, 2, 3, 4, 8, 10, 11, 12, and 13. What is the interquartile range of those counts?

  91. 91.Of 14 bus riders surveyed, 9 rode in the morning, 6 rode in the evening, and 2 rode in both periods. How many rode in the morning only?

  92. 92.A gardener listed five different positive integers as bed labels, and the median of that list is 6. Quantity A: the smallest of the five integers Quantity B: 4

  93. 93.Three distinct window seats will be filled by 3 travelers, and the seating order matters. How many seating orders are there?

  94. 94.A jar holds 7 tickets labeled 1 through 7. One ticket is drawn. What is the probability that the label is greater than 5?

  95. 95.A word chart of Saturday workshop shirts shows small 6, medium 10, and large 4. What percent of the shirts are small?

  96. 96.Four garden rows yielded 10, 12, 14, and 20 bean pods. Quantity A: the mean yield Quantity B: the median yield

  97. 97.Nine egg-carton counts were 5, 1, 8, 3, 4, 9, 2, 7, and 6. What is the median?

  98. 98.Props in a school-play box are 2, 9, 4, and 6 years old. What is the range of the ages?

  99. 99.A pantry has 15 jars. Of them, 5 are labeled soup, and 2 of the soup jars are spicy. Given that a jar is labeled soup, what is the probability that it is spicy?

  100. 100.A night baker boxed 8, 3, 7, and 6 loaf tins. What is the mean number of tins?

  101. 101.A trail crew marks 4 posts chosen from 7 posts. How many ways can the crew choose the posts?

  102. 102.Which list of ticket counts has the greater spread by range? List C: 1, 4, 4, and 9 List D: 5, 6, 6, and 8

  103. 103.A host lines up 2 distinct greeters chosen from 4 volunteers. How many lines are possible?

  104. 104.A jar has 5 blue tickets and 1 yellow ticket. Two tickets are drawn without replacement. What is the probability that the first is blue and the second is yellow?

  105. 105.Delivery shifts were arranged from least mileage to greatest: 1, 2, 4, 4, 4, 7, and 9. What is the interquartile range?

  106. 106.A word table has a Friday row of train-car counts: local 13, express 8, and shuttle 6. What is the total of the Friday row?

  107. 107.Shelf-tag codes on a clipboard were 6, 2, 6, 4, 2, 6, and 9. What is the mode?

  108. 108.Three garden rows were planted with 11, 5, and 8 sunflower seeds. What is the mean number of seeds?