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ACT Math: Statistics and Probability

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

ACT is a registered trademark of ACT, Inc. FreeExam is not affiliated with ACT, Inc., and these questions are original practice, not an official test.

  1. 1.On four mornings, a corner bakery sold 6, 9, 4, and 5 loaves. What is the mean number of loaves sold per morning?

  2. 2.Watering jobs in a garden took 12, 36, 7, 15, and 10 minutes. What is the median of the five times, in minutes?

  3. 3.Four ticket prices at a booth are $8, $14, $11, and $19. What is the range of the prices, in dollars?

  4. 4.Tickets in a jar are 3 red, 5 blue, and 2 green. If you draw one ticket, what is the probability it is blue?

  5. 5.A lunch counter offers 3 soups and 4 sandwiches. A meal is one soup and one sandwich. How many different meals are possible?

  6. 6.A flower shop sold 20 roses, 12 tulips, and 8 daisies in one afternoon. What percent of those flowers were tulips?

  7. 7.The mean of four kitchen timer settings is 15 minutes. Three settings are 10, 18, and 12 minutes. What is the fourth setting, in minutes?

  8. 8.Six boards in a workshop measured 40, 18, 22, 16, 28, and 24 inches. What is the median length, in inches?

  9. 9.Twelve of the 18 seats on a small bus are taken. If a seat is pointed to at random, what is the probability it is empty?

  10. 10.A garden path uses one of 2 stone colors, one of 5 border plants, and one of 3 light styles. How many different path designs are there?

  11. 11.A cafe sold 15, 11, 19, 7, and 13 muffins over five days. What is the range of those daily counts?

  12. 12.A booth sold 8 child tickets at $5 each and 4 adult tickets at $11 each. What is the mean price, in dollars, of one ticket sold?

  13. 13.Nine tomato plants produced 8, 3, 15, 5, 7, 9, 6, 5, and 8 tomatoes. What is the median number produced?

  14. 14.Of the spoons in a kitchen drawer, 4 are metal and 6 are wooden. A cook grabs one spoon without looking. What is the probability it is metal?

  15. 15.Five spice jars stand on a kitchen shelf. A cook takes two of them, and the same two jars are one choice no matter which jar is grabbed first. How many different pairs can the cook take?

  16. 16.One bus logged 40 riders in the morning, 25 in the afternoon, and 35 in the evening. What percent of the day's riders rode in the evening?

  17. 17.A shop took in $18, $22, $15, $27, and $18 over five days. What is the mean daily amount, in dollars?

  18. 18.Paint cans in a workshop hold 2, 5, 3, and 8 liters. How many liters apart are the fullest can and the emptiest can?

  19. 19.A shop box has 4 red tiles and 1 blue tile. Two tiles are drawn in order, and the first tile is not put back. What is the probability that both tiles are red?

  20. 20.A cafe offers 6 bagel flavors and 3 spreads. An order is one bagel with one spread. How many different orders are there?

  21. 21.Five crate weights are 4, 6, 9, 11, and x pounds, and the median weight is 8 pounds. What is x?

  22. 22.A garden bed holds 15 tomato plants and 10 pepper plants. What percent of the plants are peppers?

  23. 23.Four pots of soup measured 60, 64, 80, and 96 degrees. What is the mean temperature, in degrees?

  24. 24.A spinner at a ticket booth has 8 equal sections: 3 marked Bus, 3 marked Walk, and 2 marked Bike. What is the probability that it lands on Bike?

  25. 25.Three distinct pies sit on a bakery shelf. In how many different orders can they be lined up?

  26. 26.A booth sold 24 tickets in a 3-hour stretch and 16 tickets in the next 5 hours. What is the overall rate, in tickets per hour?

  27. 27.Nine pepper plants yielded 2, 4, 6, 8, 10, 12, 14, 18, and 20 peppers. What is the interquartile range? When the count is odd, leave the overall median out of each half.

  28. 28.A fruit bowl contains 5 apples, 3 oranges, and 2 pears. What is the probability that a piece picked with eyes closed is an apple or a pear?

  29. 29.A sandwich shop lets a customer pick 1 of 4 breads and 1 of 6 fillings. How many different sandwiches of that kind can be made?

  30. 30.Four boxes on a hand truck weigh 7, 7, 10, and 12 pounds. What is their average weight, in pounds?

  31. 31.A rider waited 4, 9, 2, 11, and 6 minutes for five different buses. What is the median of those waits, in minutes?

  32. 32.At a garden shop, glove prices are $6, $13, $9, and $21. How many dollars separate the lowest price from the highest?

  33. 33.Raffle tickets in a jar are numbered 1 through 12. One ticket is drawn. What is the probability that the number is greater than 9?

  34. 34.A workshop has 4 distinct jobs and 4 workers, and each worker gets one job. How many ways can the jobs be assigned?

  35. 35.Hot drinks outnumbered iced drinks at a market stall: 42 were hot and 18 were iced. What percent of the drinks were iced?

  36. 36.Ribbon for a shop window was cut into pieces of 5, 8, 11, 6, 9, and 9 inches. If the total length were shared equally across the six pieces, how many inches would that share be?

  37. 37.The times 3, 5, and 7 minutes have mean 5. A fourth time of 9 minutes is included. What is the new mean, in minutes?

  38. 38.A storage crate holds 7 working bulbs and 3 burned-out bulbs. What is the probability that the bulb a clerk pulls out is a working one?

  39. 39.Six seedlings are ready in a tray. A gardener plants three of them and does not care which of those three goes into the soil first. How many different groups of three can be planted?

  40. 40.Fifty shoppers paid in one of three ways: 20 used cash, 15 used a card, and 15 used a phone app. What percent used a card?

  41. 41.A baker's four batches made 14, 18, 11, and 20 biscuits. What is the range of the batch sizes?

  42. 42.Mug prices on a cafe shelf are $4, $10, $7, and $19. Once those prices are ordered, what is the median, in dollars?

  43. 43.A snack ticket shows a first letter and a second letter. Each letter is A, B, or C, and a letter may be repeated. How many different tickets are possible?

  44. 44.Someone reaches into a linen drawer without looking. Inside are 5 blue cloths and 11 white cloths. What is the probability the cloth in hand is blue?

  45. 45.A cook mixes 2 cups that have 100 calories each with 3 cups that have 40 calories each. What is the mean number of calories per cup?

  46. 46.The mean of five daily sales amounts is $12. Four of the amounts are $9, $15, $8, and $11. What is the fifth amount, in dollars?

  47. 47.A shop sold 40 pies one week and 50 pies the next week. By what percent did pie sales increase from the first week to the next?

  48. 48.A jar holds 3 red marbles and 1 white marble. You draw a marble, put it back, and draw again. What is the probability that both draws are white?

  49. 49.A garden kit uses 1 of 5 pots, 1 of 4 soils, and 1 of 2 plant types. How many different kits can be packed?

  50. 50.Feed sacks at a barn weigh 13, 8, 21, 8, and 16 pounds. Which weight, in pounds, is in the middle after the sacks are ordered from lightest to heaviest?

  51. 51.Over five mornings a henhouse produced 3, 8, 5, 12, and 6 eggs. By how many eggs does the busiest morning beat the quietest?

  52. 52.A cafe served 36 breakfasts, 24 lunches, and 20 dinners. What percent of those meals were lunches?

  53. 53.A cloakroom bowl holds one ticket for every whole number from 1 to 20. A guest draws a single ticket. What is the probability its number is even?

  54. 54.A potter's kiln ran for 2, 6, 7, 9, and 16 hours on five days. What is the mean running time, in hours?

  55. 55.A workshop stamps locker tags with 2 different digits, each chosen from 1, 2, 3, and 4. A different order counts as a different tag. How many tags can be stamped?

  56. 56.Pepper counts were 5, 8, 8, 10, and 14. The 14 is replaced by 30. What is the new median?

  57. 57.Two of the 9 screws in a workshop jar are bent. What is the probability that a screw shaken out of the jar is not bent?

  58. 58.A bus carried 45 students and 15 adults. What percent of the people on the bus were adults?

  59. 59.The numbers of rolls baked on five mornings were 6, 10, 15, 4, and 22. What is the range of those counts?

  60. 60.Seven cans of paint are open in a workshop. A painter needs a pair of colors and treats red-with-blue as the same pair as blue-with-red. How many different pairs are there?

  61. 61.Three bolts are 10 centimeters long, and one other bolt is 18 centimeters long. What is the mean length of the four bolts, in centimeters?

  62. 62.Along a garden row, 6 plants are beans and 2 are corn. If a plant is picked by pointing at random, what is the probability it is a bean plant?

  63. 63.A bakery turned out 32 loaves during a 4-hour morning and 12 loaves during a 2-hour afternoon. Across both stretches, how many loaves were made per hour?

  64. 64.Five distinct friends sit in a row of five bus seats. How many seating orders are possible?

  65. 65.A grocer weighed eight tomatoes and got 4, 6, 6, 7, 9, 10, 12, and 14 ounces. What is the median of those weights, in ounces?

  66. 66.A game box holds 1 prize token and 4 blank tokens. You draw a token, put it back, and draw again. What is the probability of a prize on at least one of the two draws?

  67. 67.A kitchen baked 12 pies on Monday, 18 pies on Tuesday, and 10 pies on Wednesday. What percent of the three-day total was baked on Tuesday?

  68. 68.The values 10, 12, and 14 are joined by a fourth value, 30. What is the mean of the four values?

  69. 69.Garden stakes cut in a shed are 3, 8, 5, and 14 inches long. How many inches longer is the longest stake than the shortest?

  70. 70.An ice cream cone has a bottom scoop, a middle scoop, and a top scoop. Each scoop is one of 4 flavors, and a flavor may be used more than once. How many different cones are possible?

  71. 71.Thirteen plant tags are in a cup, and 4 of them say basil. One tag is drawn at random. What is the probability that it does not say basil?

  72. 72.On one bus trip, 6 riders paid a $2 fare and 4 riders paid a $5 fare. What is the mean fare paid, in dollars?

  73. 73.Honey jars on a market table weigh 4, 20, 1, 9, 4, 15, and 4 pounds. Which weight, in pounds, is the median?

  74. 74.A stall's sales over seven days were $2, $5, $7, $8, $10, $13, and $19. For this odd count, each half used for a quartile leaves out the overall median. What is the interquartile range, in dollars?

  75. 75.A garden crew picks a lead and a different record keeper from 6 members. The two jobs are different. How many ways can the two jobs be filled?

  76. 76.A spinner has 5 equal sections, and 2 of them win a cookie at a booth. What is the probability that a spin does not win a cookie?

  77. 77.Of 80 tickets sold at a booth, 16 were refunded. What percent of the tickets were refunded?

  78. 78.The mean of six receipt totals at a shop is 9 dollars. What is the sum of the six totals, in dollars?

  79. 79.The numbers 5, 11, and 14 are on a workshop tally, and then 8 is written down as well. What is the range of the four numbers?

  80. 80.A clerk draws one marble from a jar of 5 red marbles and 3 blue marbles, sets it aside, and draws a second marble. What is the probability the first marble is red and the second is blue?

  81. 81.In one week a workshop finished repairs on 9 chairs, 6 tables, and 5 shelves. Chairs were what percent of the repairs?

  82. 82.Six tool prices, in dollars, are 22, 15, 28, 19, 31, and 17. What is the median price?

  83. 83.A bus pass code is one letter chosen from 5 letters, followed by one digit from 0 through 9. How many codes are possible?

  84. 84.Three cookie batches have 24, 36, and 18 cookies. What is the mean number of cookies per batch?

  85. 85.Game tiles in a bowl show the whole numbers 1 through 12, one number per tile. A player draws one tile. What is the probability it shows a multiple of 3?

  86. 86.A stand sold 80 cups of lemonade on Saturday and 60 cups on Sunday. What was the percent decrease from Saturday to Sunday?

  87. 87.Bloom counts on nine rose bushes were 1, 3, 3, 6, 8, 9, 11, 14, and 18. Because the list length is odd, the overall median is kept out of both halves. What interquartile range do those halves give?

  88. 88.Eight side dishes are on a cafe list. A plate gets two of them, and the plate is the same if the two dishes trade places. How many different plates of that kind are there?

  89. 89.Four bin counts are 6, 10, 14, and n, with n greater than 14. What is the median of the four counts?

  90. 90.A reader shuts their eyes and pulls one book off a shelf that holds 4 mysteries and 6 cookbooks. What is the probability the book is a cookbook?

  91. 91.Jam packed for a bake sale went into jars of 1, 2, 3, 4, and 10 pounds. What is the average weight of those jars, in pounds?

  92. 92.A ticket booth sold 14 adult tickets and 6 child tickets in the morning, then 10 adult tickets and 10 child tickets in the afternoon. What percent of all the tickets were child tickets?

  93. 93.A produce stand first recorded the counts 7, 12, and 9, then added a count of 20. What is the range once 20 is included?

  94. 94.A locker code uses 3 different digits from 0 through 9, and order matters. A code may start with 0. How many codes are possible?

  95. 95.A candy jar contains 2 red candies, 3 yellow candies, and 5 green candies. What is the probability that a candy taken from the jar is red or yellow?

  96. 96.A bus travels 30 miles in 1 hour and then 30 miles in 2 hours. What is the mean speed for the whole trip, in miles per hour?

  97. 97.Frosting six cakes took 11, 25, 14, 11, 20, and 18 minutes. What is the median of those frosting times?

  98. 98.In a garden tray, 28 of 80 seeds sprouted. What percent of the seeds sprouted?

  99. 99.Five toppings sit by a griddle. A cook puts three of them on a burger, and the burger is the same no matter the order of those three. How many different burgers are there?

  100. 100.A hook in a workshop holds 7 keys, and 3 of them open the shed. One key is chosen at random. What is the probability that it opens the shed?

  101. 101.Five bushels at a farm stand hold 16, 23, 19, 31, and 18 apples. What is the range of the apple counts?

  102. 102.Hats, scarves, and gloves sold at a stall numbered 9, 15, and 6. What percent of the items sold were the gloves?

  103. 103.Five shop measurements have a mean of 14. One measurement equals 14, and that measurement is removed. What is the mean of the remaining four?

  104. 104.Each of two seeds in a tray sprouts with probability 2/3, and the seeds sprout independently. What is the probability that both seeds sprout?

  105. 105.A courier logged five delivery times: 4, 8, 10, 14, and 22 minutes. Find the interquartile range when each half excludes the middle time.

  106. 106.A breakfast plate at a cafe has 1 of 2 egg styles, 1 of 3 meats, and 1 of 4 breads. How many different plates are possible?

  107. 107.Seven bus delays, in minutes, were 1, 2, 2, 3, 3, 4, and 20. What is the median delay?

  108. 108.A kitchen drawer has 12 metal forks, 8 plastic forks, 6 metal spoons, and 14 plastic spoons. What percent of the utensils are plastic?