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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 498 · 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 5 numbers is 23. When the number 29 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 23
  2. 2.What is the mode of 11, 11, 8, 10, 5, 10 and 11? (a) 8 (b) 11 (c) 5 (d) 10
  3. 3.What is the mode of 8, 1, 3, 9, 8, 9 and 9? (a) 3 (b) 1 (c) 8 (d) 9
  4. 4.What is the mode of 15, 10, 10, 15, 5, 11 and 15? (a) 10 (b) 15 (c) 11 (d) 5
  5. 5.What is the mean of 9, 20, 3, 11, 6 and 17? (a) 12 (b) 11 (c) 13 (d) 10
  6. 6.What is the mode of 6, 2, 6, 5, 6, 1 and 2? (a) 1 (b) 5 (c) 2 (d) 6
  7. 7.What is the mode of 19, 19, 20, 20, 8, 13 and 20? (a) 19 (b) 13 (c) 8 (d) 20
  8. 8.What is the median of 33, 18, 10, 39 and 6? (a) 10 (b) 18 (c) 33 (d) 19
  9. 9.What is the mode of 9, 20, 20, 20, 3, 12 and 9? (a) 20 (b) 3 (c) 9 (d) 12
  10. 10.The mean of 9 numbers is 21. When the number 61 is added to them, what is the new mean? (a) 21 (b) 25 (c) 41 (d) 26
  11. 11.What is the mode of 11, 1, 14, 14, 19, 19 and 14? (a) 1 (b) 11 (c) 19 (d) 14
  12. 12.What is the mean of 18, 2, 3, 3, 9 and 7? (a) 6 (b) 8 (c) 9 (d) 7
  13. 13.What is the mean of 6, 5, 6, 15, 16 and 18? (a) 10 (b) 11 (c) 13 (d) 12
  14. 14.What is the mean of 5, 16, 3 and 8? (a) 10 (b) 7 (c) 8 (d) 9
  15. 15.What is the mean of 10, 18, 7, 10, 3 and 12? (a) 12 (b) 11 (c) 9 (d) 10
  16. 16.What is the mode of 2, 5, 12, 10, 5, 10 and 5? (a) 10 (b) 12 (c) 5 (d) 2
  17. 17.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 29 (b) 27 (c) 26 (d) 25
  18. 18.What is the mean of 13, 10, 17 and 20? (a) 12 (b) 20 (c) 15 (d) 16
  19. 19.What is the median of 11, 34, 9, 5 and 4? (a) 9 (b) 5 (c) 10 (d) 11
  20. 20.What is the mode of 3, 12, 3, 8, 12, 12 and 14? (a) 14 (b) 12 (c) 3 (d) 8
  21. 21.What is the mean of 7, 4, 10 and 7? (a) 6 (b) 8 (c) 9 (d) 7
  22. 22.What is the mode of 4, 4, 16, 16, 20, 8 and 16? (a) 16 (b) 20 (c) 4 (d) 8
  23. 23.What is the mean of 6, 11, 6 and 17? (a) 8 (b) 11 (c) 9 (d) 10
  24. 24.What is the median of 22, 37, 5, 8, 23, 16 and 25? (a) 23 (b) 22 (c) 8 (d) 16
  25. 25.What is the mode of 5, 5, 7, 5, 17, 17 and 18? (a) 17 (b) 5 (c) 7 (d) 18
  26. 26.What is the mean of 19, 2, 9, 11, 20 and 11? (a) 13 (b) 11 (c) 12 (d) 14
  27. 27.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 31 (b) 29 (c) 30 (d) 21
  28. 28.The mean of 4 numbers is 22. When the number 7 is added to them, what is the new mean? (a) 18 (b) 22 (c) 19 (d) 20
  29. 29.What is the mode of 4, 6, 1, 3, 4, 6 and 4? (a) 6 (b) 4 (c) 3 (d) 1
  30. 30.The mean of 7 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 16 (b) 15 (c) 19 (d) 17
  31. 31.What is the median of 7, 10, 26, 39, 28, 30 and 25? (a) 39 (b) 28 (c) 25 (d) 26
  32. 32.What is the mode of 16, 8, 13, 11, 11, 16 and 16? (a) 8 (b) 16 (c) 11 (d) 13
  33. 33.The mean of 5 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 20 (b) 17 (c) 14 (d) 16
  34. 34.What is the mean of 2, 20, 11, 2, 11 and 14? (a) 9 (b) 10 (c) 11 (d) 12
  35. 35.What is the median of 18, 9, 17, 16, 12, 7 and 11? (a) 16 (b) 11 (c) 12 (d) 13
  36. 36.What is the mean of 11, 19, 5, 9, 2 and 8? (a) 10 (b) 8 (c) 9 (d) 11
  37. 37.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 13
  38. 38.The mean of 7 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 31 (b) 30 (c) 33 (d) 21
  39. 39.What is the mean of 13, 6, 20 and 13? (a) 12 (b) 13 (c) 15 (d) 14
  40. 40.What is the mode of 4, 15, 13, 15, 10, 10 and 10? (a) 4 (b) 15 (c) 10 (d) 13

Answer key

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

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