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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 573 · 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 mean of 19, 10, 20 and 23? (a) 24 (b) 17 (c) 18 (d) 19
  2. 2.What is the median of 7, 38, 23, 24, 35, 22 and 19? (a) 22 (b) 23 (c) 25 (d) 24
  3. 3.What is the mode of 7, 19, 20, 19, 7, 19 and 8? (a) 7 (b) 20 (c) 19 (d) 8
  4. 4.What is the mean of 12, 13, 4 and 11? (a) 11 (b) 8 (c) 10 (d) 9
  5. 5.What is the median of 25, 22, 21, 27, 24, 18 and 30? (a) 27 (b) 25 (c) 22 (d) 24
  6. 6.What is the mode of 2, 11, 2, 8, 11, 6 and 2? (a) 8 (b) 2 (c) 6 (d) 11
  7. 7.What is the mode of 6, 11, 11, 10, 16, 11 and 10? (a) 10 (b) 11 (c) 6 (d) 16
  8. 8.What is the mode of 18, 14, 15, 14, 19, 14 and 18? (a) 14 (b) 19 (c) 15 (d) 18
  9. 9.What is the mean of 6, 6, 18, 9 and 11? (a) 12 (b) 10 (c) 11 (d) 9
  10. 10.The mean of 3 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 18 (b) 10 (c) 14 (d) 15
  11. 11.What is the mean of 16, 5, 19, 5 and 5? (a) 11 (b) 9 (c) 12 (d) 10
  12. 12.What is the mean of 16, 6, 13 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  13. 13.The mean of 3 numbers is 29. When the number 33 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 29
  14. 14.What is the mean of 2, 8, 9, 13 and 13? (a) 11 (b) 8 (c) 10 (d) 9
  15. 15.What is the mode of 1, 9, 11, 6, 9, 6 and 9? (a) 11 (b) 1 (c) 6 (d) 9
  16. 16.What is the mean of 4, 12, 12, 19, 16 and 21? (a) 15 (b) 13 (c) 14 (d) 12
  17. 17.What is the mean of 19, 13, 6, 9 and 13? (a) 10 (b) 12 (c) 15 (d) 13
  18. 18.What is the median of 11, 18, 8, 32 and 4? (a) 8 (b) 18 (c) 12 (d) 11
  19. 19.What is the mean of 12, 9, 4 and 19? (a) 13 (b) 10 (c) 12 (d) 11
  20. 20.The mean of 6 numbers is 33. When the number 40 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 36
  21. 21.The mean of 7 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 12 (b) 24 (c) 15 (d) 16
  22. 22.What is the median of 24, 7, 2, 39 and 8? (a) 16 (b) 24 (c) 2 (d) 8
  23. 23.What is the median of 19, 38, 8, 34 and 5? (a) 19 (b) 34 (c) 20 (d) 8
  24. 24.What is the mean of 16, 5, 12, 9 and 18? (a) 13 (b) 12 (c) 15 (d) 10
  25. 25.What is the mode of 4, 4, 8, 8, 8, 11 and 5? (a) 5 (b) 4 (c) 11 (d) 8
  26. 26.What is the mode of 9, 11, 9, 7, 8, 8 and 8? (a) 9 (b) 7 (c) 11 (d) 8
  27. 27.What is the median of 15, 25, 7, 4 and 13? (a) 15 (b) 13 (c) 14 (d) 7
  28. 28.The mean of 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 34 (b) 33 (c) 36 (d) 35
  29. 29.What is the mean of 19, 6, 14, 18, 9 and 12? (a) 12 (b) 15 (c) 13 (d) 14
  30. 30.What is the mean of 6, 9, 8, 8 and 4? (a) 8 (b) 7 (c) 6 (d) 9
  31. 31.The mean of 4 numbers is 34. When the number 49 is added to them, what is the new mean? (a) 38 (b) 37 (c) 36 (d) 34
  32. 32.What is the mean of 10, 10, 10 and 18? (a) 16 (b) 11 (c) 12 (d) 13
  33. 33.The mean of 6 numbers is 10. When the number 17 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 11
  34. 34.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 13 (b) 15 (c) 17 (d) 16
  35. 35.What is the median of 21, 11, 3, 25, 38, 19 and 33? (a) 19 (b) 25 (c) 21 (d) 22
  36. 36.What is the mode of 13, 2, 6, 2, 13, 2 and 9? (a) 13 (b) 9 (c) 2 (d) 6
  37. 37.What is the median of 23, 2, 20, 26, 4, 11 and 13? (a) 11 (b) 13 (c) 20 (d) 26
  38. 38.What is the mode of 11, 5, 7, 9, 7, 11 and 11? (a) 9 (b) 5 (c) 7 (d) 11
  39. 39.What is the median of 1, 16, 4, 8, 34, 10 and 20? (a) 16 (b) 8 (c) 11 (d) 10
  40. 40.What is the mean of 13, 11, 12, 18 and 16? (a) 16 (b) 13 (c) 14 (d) 15

Answer key

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

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