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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 607 · 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 33. When the number 60 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 33
  2. 2.What is the mode of 12, 12, 3, 12, 14, 3 and 2? (a) 14 (b) 3 (c) 2 (d) 12
  3. 3.What is the mean of 6, 14, 20 and 8? (a) 16 (b) 13 (c) 11 (d) 12
  4. 4.What is the mode of 3, 5, 5, 5, 13, 13 and 8? (a) 8 (b) 13 (c) 3 (d) 5
  5. 5.What is the mean of 18, 16, 9, 7 and 10? (a) 10 (b) 12 (c) 15 (d) 13
  6. 6.The mean of 7 numbers is 30. When the number 54 is added to them, what is the new mean? (a) 34 (b) 42 (c) 33 (d) 30
  7. 7.What is the mode of 2, 13, 19, 15, 13, 13 and 19? (a) 13 (b) 19 (c) 15 (d) 2
  8. 8.What is the mean of 2, 11, 14, 12, 9 and 18? (a) 12 (b) 10 (c) 11 (d) 13
  9. 9.What is the median of 29, 40, 6, 13 and 20? (a) 20 (b) 29 (c) 6 (d) 13
  10. 10.What is the mean of 14, 16, 3, 5, 20 and 14? (a) 11 (b) 14 (c) 12 (d) 13
  11. 11.What is the median of 38, 16, 27, 12, 32, 2 and 31? (a) 31 (b) 12 (c) 27 (d) 16
  12. 12.What is the median of 19, 5, 23, 8, 10, 22 and 25? (a) 8 (b) 19 (c) 22 (d) 16
  13. 13.What is the mean of 12, 5, 14 and 21? (a) 12 (b) 14 (c) 15 (d) 13
  14. 14.What is the mean of 13, 15, 19, 7 and 16? (a) 16 (b) 13 (c) 15 (d) 14
  15. 15.What is the mode of 11, 7, 7, 7, 14, 11 and 16? (a) 16 (b) 7 (c) 11 (d) 14
  16. 16.What is the mean of 13, 10, 7, 5, 13 and 12? (a) 12 (b) 9 (c) 11 (d) 10
  17. 17.What is the mode of 9, 17, 13, 13, 4, 4 and 4? (a) 9 (b) 4 (c) 13 (d) 17
  18. 18.What is the mode of 15, 15, 9, 1, 17, 9 and 15? (a) 1 (b) 15 (c) 17 (d) 9
  19. 19.What is the median of 6, 37, 23, 32 and 39? (a) 37 (b) 33 (c) 32 (d) 23
  20. 20.What is the mean of 2, 19, 10 and 21? (a) 14 (b) 15 (c) 13 (d) 12
  21. 21.What is the mode of 5, 5, 13, 4, 2, 5 and 2? (a) 5 (b) 13 (c) 4 (d) 2
  22. 22.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 24 (b) 34 (c) 27 (d) 26
  23. 23.The mean of 9 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 33 (b) 43 (c) 35 (d) 36
  24. 24.What is the mode of 12, 20, 12, 9, 20, 1 and 20? (a) 12 (b) 1 (c) 20 (d) 9
  25. 25.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 31 (b) 33 (c) 28 (d) 32
  26. 26.The mean of 6 numbers is 37. When the number 51 is added to them, what is the new mean? (a) 39 (b) 40 (c) 44 (d) 37
  27. 27.What is the mean of 6, 8, 8, 20, 3 and 9? (a) 8 (b) 10 (c) 9 (d) 11
  28. 28.What is the mode of 2, 16, 1, 2, 20, 1 and 2? (a) 16 (b) 1 (c) 2 (d) 20
  29. 29.What is the mean of 19, 18, 12 and 19? (a) 17 (b) 18 (c) 16 (d) 19
  30. 30.What is the mode of 7, 17, 11, 20, 11, 20 and 20? (a) 11 (b) 17 (c) 20 (d) 7
  31. 31.What is the mode of 12, 12, 9, 14, 2, 14 and 12? (a) 14 (b) 12 (c) 2 (d) 9
  32. 32.What is the mean of 5, 11, 14, 9 and 16? (a) 13 (b) 10 (c) 12 (d) 11
  33. 33.What is the median of 38, 13, 26, 2 and 40? (a) 13 (b) 38 (c) 26 (d) 27
  34. 34.The mean of 7 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 14 (b) 10 (c) 13 (d) 22
  35. 35.What is the mode of 14, 20, 3, 19, 3, 14 and 14? (a) 20 (b) 19 (c) 14 (d) 3
  36. 36.What is the mode of 13, 13, 5, 13, 1, 4 and 1? (a) 13 (b) 1 (c) 5 (d) 4
  37. 37.What is the median of 26, 35, 31, 16 and 3? (a) 26 (b) 16 (c) 27 (d) 31
  38. 38.What is the mode of 16, 8, 14, 16, 15, 14 and 14? (a) 16 (b) 14 (c) 8 (d) 15
  39. 39.What is the median of 2, 38, 34, 12 and 32? (a) 34 (b) 32 (c) 33 (d) 12
  40. 40.What is the median of 12, 18, 34, 20 and 38? (a) 18 (b) 20 (c) 21 (d) 34

Answer key

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

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