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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 798 · 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.What is the median of 27, 25, 39, 14 and 19? (a) 25 (b) 19 (c) 27 (d) 39
  2. 2.What is the median of 19, 22, 26, 33 and 40? (a) 22 (b) 33 (c) 26 (d) 28
  3. 3.The mean of 8 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 15
  4. 4.What is the median of 17, 8, 29, 10, 34, 37 and 19? (a) 22 (b) 10 (c) 19 (d) 29
  5. 5.What is the mean of 9, 11, 4 and 8? (a) 10 (b) 7 (c) 9 (d) 8
  6. 6.What is the mode of 18, 18, 18, 10, 11, 11 and 4? (a) 10 (b) 4 (c) 18 (d) 11
  7. 7.What is the median of 3, 28, 30, 21 and 1? (a) 28 (b) 3 (c) 21 (d) 30
  8. 8.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 13 (b) 15 (c) 17 (d) 14
  9. 9.What is the mean of 14, 2, 7, 14, 19 and 10? (a) 12 (b) 10 (c) 13 (d) 11
  10. 10.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 26
  11. 11.What is the median of 39, 31, 28, 18 and 6? (a) 31 (b) 29 (c) 18 (d) 28
  12. 12.What is the mode of 20, 13, 12, 12, 20, 12 and 18? (a) 20 (b) 18 (c) 13 (d) 12
  13. 13.What is the mean of 19, 14, 16, 11 and 5? (a) 15 (b) 12 (c) 13 (d) 14
  14. 14.What is the mode of 11, 13, 3, 11, 3, 11 and 15? (a) 13 (b) 3 (c) 15 (d) 11
  15. 15.What is the median of 12, 11, 32, 29, 33, 21 and 40? (a) 21 (b) 29 (c) 30 (d) 32
  16. 16.What is the mean of 3, 6, 12, 3 and 11? (a) 8 (b) 6 (c) 7 (d) 9
  17. 17.What is the mean of 8, 3, 14, 4 and 16? (a) 10 (b) 11 (c) 8 (d) 9
  18. 18.What is the median of 10, 20, 31, 27 and 3? (a) 20 (b) 31 (c) 27 (d) 10
  19. 19.What is the mode of 1, 4, 1, 1, 4, 17 and 20? (a) 1 (b) 17 (c) 20 (d) 4
  20. 20.What is the mean of 7, 10, 6, 5 and 7? (a) 7 (b) 9 (c) 8 (d) 6
  21. 21.What is the median of 8, 18, 27, 32, 33, 26 and 23? (a) 32 (b) 27 (c) 23 (d) 26
  22. 22.What is the mode of 18, 18, 13, 13, 3, 18 and 9? (a) 13 (b) 9 (c) 18 (d) 3
  23. 23.What is the mean of 7, 20, 19 and 10? (a) 14 (b) 16 (c) 13 (d) 15
  24. 24.What is the mean of 6, 19, 6, 6 and 18? (a) 13 (b) 12 (c) 10 (d) 11
  25. 25.What is the mean of 19, 13, 3 and 9? (a) 12 (b) 10 (c) 13 (d) 11
  26. 26.The mean of 9 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 25 (b) 24 (c) 23 (d) 15
  27. 27.What is the mode of 2, 14, 2, 4, 13, 2 and 14? (a) 13 (b) 2 (c) 4 (d) 14
  28. 28.What is the mode of 5, 12, 12, 3, 10, 12 and 3? (a) 5 (b) 10 (c) 12 (d) 3
  29. 29.What is the mean of 13, 8, 2 and 13? (a) 9 (b) 8 (c) 12 (d) 10
  30. 30.What is the mean of 9, 8, 13, 5, 4 and 21? (a) 9 (b) 12 (c) 11 (d) 10
  31. 31.What is the mean of 5, 5, 15 and 7? (a) 7 (b) 8 (c) 9 (d) 10
  32. 32.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 22
  33. 33.What is the mean of 9, 15, 13 and 15? (a) 15 (b) 13 (c) 12 (d) 14
  34. 34.What is the median of 37, 6, 20, 4, 39, 35 and 15? (a) 4 (b) 20 (c) 15 (d) 35
  35. 35.What is the mean of 14, 8, 9, 17, 3 and 21? (a) 11 (b) 13 (c) 14 (d) 12
  36. 36.The mean of 5 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 48 (b) 39 (c) 42 (d) 43
  37. 37.What is the mode of 2, 3, 2, 4, 4, 4 and 11? (a) 4 (b) 2 (c) 11 (d) 3
  38. 38.The mean of 6 numbers is 16. When the number 37 is added to them, what is the new mean? (a) 16 (b) 19 (c) 18 (d) 20
  39. 39.What is the median of 10, 24, 27, 3 and 7? (a) 27 (b) 7 (c) 10 (d) 24
  40. 40.What is the mode of 7, 16, 8, 17, 8, 17 and 8? (a) 17 (b) 16 (c) 8 (d) 7

Answer key

  1. 25
  2. 26
  3. 22
  4. 19
  5. 8
  6. 18
  7. 21
  8. 14
  9. 11
  10. 26
  11. 28
  12. 12
  13. 13
  14. 11
  15. 29
  16. 7
  17. 9
  18. 20
  19. 1
  20. 7
  21. 26
  22. 18
  23. 14
  24. 11
  25. 11
  26. 23
  27. 2
  28. 12
  29. 9
  30. 10
  31. 8
  32. 20
  33. 13
  34. 20
  35. 12
  36. 42
  37. 4
  38. 19
  39. 10
  40. 8

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