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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 412 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.The mean of 8 numbers is 32. When the number 59 is added to them, what is the new mean? (a) 32 (b) 34 (c) 36 (d) 35
  2. 2.What is the median of 18, 23, 13, 31 and 24? (a) 24 (b) 18 (c) 23 (d) 13
  3. 3.What is the mean of 7, 16, 4, 16, 10 and 13? (a) 12 (b) 11 (c) 10 (d) 13
  4. 4.The mean of 3 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 31 (b) 35 (c) 27 (d) 32
  5. 5.What is the mode of 8, 2, 15, 8, 1, 8 and 1? (a) 1 (b) 2 (c) 15 (d) 8
  6. 6.What is the median of 30, 36, 39, 9 and 11? (a) 25 (b) 36 (c) 30 (d) 39
  7. 7.What is the mean of 8, 6, 3, 10 and 23? (a) 9 (b) 11 (c) 12 (d) 10
  8. 8.What is the mean of 16, 20, 20 and 20? (a) 18 (b) 20 (c) 19 (d) 21
  9. 9.The mean of 5 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 12 (b) 13 (c) 7 (d) 11
  10. 10.What is the mean of 3, 18, 14 and 13? (a) 16 (b) 13 (c) 12 (d) 11
  11. 11.What is the mean of 17, 10, 5, 15 and 23? (a) 15 (b) 16 (c) 14 (d) 13
  12. 12.What is the mean of 19, 8, 8 and 9? (a) 12 (b) 11 (c) 13 (d) 10
  13. 13.What is the median of 19, 1, 15, 12, 39, 8 and 31? (a) 12 (b) 19 (c) 16 (d) 15
  14. 14.What is the median of 31, 11, 9, 24, 38, 25 and 8? (a) 23 (b) 11 (c) 24 (d) 25
  15. 15.The mean of 6 numbers is 31. When the number 24 is added to them, what is the new mean? (a) 31 (b) 32 (c) 29 (d) 30
  16. 16.The mean of 5 numbers is 27. When the number 21 is added to them, what is the new mean? (a) 25 (b) 24 (c) 27 (d) 26
  17. 17.What is the mean of 5, 12, 12, 15, 16 and 6? (a) 12 (b) 13 (c) 11 (d) 10
  18. 18.What is the mean of 18, 11, 11 and 8? (a) 11 (b) 12 (c) 13 (d) 16
  19. 19.What is the mode of 6, 14, 12, 6, 6, 17 and 14? (a) 12 (b) 14 (c) 17 (d) 6
  20. 20.What is the median of 18, 3, 4, 21 and 2? (a) 4 (b) 5 (c) 18 (d) 3
  21. 21.What is the mean of 18, 18, 10, 15, 3 and 8? (a) 14 (b) 11 (c) 12 (d) 13
  22. 22.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 26
  23. 23.What is the mean of 9, 3, 19, 13 and 11? (a) 10 (b) 11 (c) 13 (d) 12
  24. 24.The mean of 4 numbers is 23. When the number 38 is added to them, what is the new mean? (a) 25 (b) 27 (c) 23 (d) 26
  25. 25.What is the mean of 12, 5, 17, 7, 19 and 6? (a) 11 (b) 12 (c) 13 (d) 10
  26. 26.What is the mode of 14, 2, 3, 3, 3, 1 and 14? (a) 1 (b) 2 (c) 3 (d) 14
  27. 27.What is the mode of 5, 19, 1, 19, 5, 17 and 5? (a) 1 (b) 17 (c) 19 (d) 5
  28. 28.What is the mode of 13, 13, 8, 9, 11, 8 and 8? (a) 13 (b) 11 (c) 9 (d) 8
  29. 29.What is the mode of 12, 7, 16, 7, 5, 7 and 5? (a) 5 (b) 12 (c) 16 (d) 7
  30. 30.What is the mode of 16, 18, 7, 7, 16, 16 and 14? (a) 14 (b) 18 (c) 16 (d) 7
  31. 31.The mean of 3 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 17 (b) 13 (c) 9 (d) 14
  32. 32.What is the mean of 5, 13, 12, 19 and 6? (a) 10 (b) 11 (c) 13 (d) 12
  33. 33.What is the mean of 6, 15, 19, 10, 9 and 13? (a) 11 (b) 12 (c) 14 (d) 13
  34. 34.The mean of 5 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 40 (b) 44 (c) 49 (d) 43
  35. 35.What is the mean of 12, 9, 19 and 8? (a) 13 (b) 12 (c) 16 (d) 11
  36. 36.What is the mean of 19, 9, 10, 12, 6 and 10? (a) 12 (b) 13 (c) 11 (d) 10
  37. 37.What is the mode of 11, 17, 14, 11, 14, 11 and 16? (a) 11 (b) 16 (c) 14 (d) 17
  38. 38.What is the mode of 18, 18, 5, 18, 17, 9 and 5? (a) 5 (b) 9 (c) 17 (d) 18
  39. 39.The mean of 3 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 18 (b) 14 (c) 10 (d) 15
  40. 40.What is the mean of 5, 6, 14, 7 and 13? (a) 10 (b) 8 (c) 9 (d) 11

Answer key

  1. 35
  2. 23
  3. 11
  4. 31
  5. 8
  6. 30
  7. 10
  8. 19
  9. 11
  10. 12
  11. 14
  12. 11
  13. 15
  14. 24
  15. 30
  16. 26
  17. 11
  18. 12
  19. 6
  20. 4
  21. 12
  22. 26
  23. 11
  24. 26
  25. 11
  26. 3
  27. 5
  28. 8
  29. 7
  30. 16
  31. 13
  32. 11
  33. 12
  34. 43
  35. 12
  36. 11
  37. 11
  38. 18
  39. 14
  40. 9

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