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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 854 · 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 3 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 37 (b) 36 (c) 33 (d) 35
  2. 2.What is the mode of 1, 1, 15, 3, 7, 7 and 7? (a) 15 (b) 7 (c) 3 (d) 1
  3. 3.What is the mean of 17, 15, 16, 20 and 22? (a) 19 (b) 15 (c) 18 (d) 17
  4. 4.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 16 (b) 13 (c) 14 (d) 15
  5. 5.What is the mode of 2, 6, 6, 19, 19, 6 and 5? (a) 6 (b) 2 (c) 5 (d) 19
  6. 6.What is the mean of 16, 17, 5, 13 and 19? (a) 13 (b) 15 (c) 16 (d) 14
  7. 7.What is the median of 15, 14, 9, 4, 8, 36 and 23? (a) 4 (b) 9 (c) 15 (d) 14
  8. 8.What is the mean of 7, 13, 15, 20 and 15? (a) 16 (b) 15 (c) 13 (d) 14
  9. 9.What is the mode of 10, 10, 12, 3, 15, 10 and 3? (a) 15 (b) 3 (c) 12 (d) 10
  10. 10.What is the median of 16, 13, 11, 37, 4, 31 and 23? (a) 37 (b) 13 (c) 16 (d) 23
  11. 11.What is the mean of 19, 3, 8 and 2? (a) 9 (b) 7 (c) 10 (d) 8
  12. 12.What is the mean of 17, 15, 8 and 20? (a) 20 (b) 12 (c) 16 (d) 15
  13. 13.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 39 (b) 42 (c) 40 (d) 41
  14. 14.The mean of 6 numbers is 20. When the number 6 is added to them, what is the new mean? (a) 20 (b) 18 (c) 13 (d) 19
  15. 15.The mean of 3 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 38 (b) 32 (c) 36 (d) 35
  16. 16.The mean of 5 numbers is 26. When the number 20 is added to them, what is the new mean? (a) 26 (b) 23 (c) 24 (d) 25
  17. 17.What is the median of 20, 22, 12, 28 and 21? (a) 20 (b) 22 (c) 21 (d) 12
  18. 18.What is the median of 28, 11, 17, 8 and 24? (a) 11 (b) 24 (c) 18 (d) 17
  19. 19.What is the mode of 18, 1, 12, 6, 6, 18 and 6? (a) 12 (b) 1 (c) 6 (d) 18
  20. 20.What is the mean of 18, 12, 14, 12 and 9? (a) 13 (b) 12 (c) 15 (d) 14
  21. 21.What is the mean of 8, 16, 12 and 4? (a) 9 (b) 10 (c) 11 (d) 8
  22. 22.What is the median of 7, 2, 8, 3 and 19? (a) 3 (b) 6 (c) 7 (d) 8
  23. 23.What is the mode of 9, 13, 13, 1, 1, 14 and 1? (a) 1 (b) 9 (c) 13 (d) 14
  24. 24.What is the mean of 16, 3, 10, 16, 2 and 19? (a) 12 (b) 13 (c) 11 (d) 10
  25. 25.What is the mean of 9, 8, 9, 13 and 16? (a) 12 (b) 13 (c) 10 (d) 11
  26. 26.The mean of 4 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 22 (b) 20 (c) 25 (d) 23
  27. 27.What is the mode of 5, 3, 11, 16, 16, 11 and 11? (a) 16 (b) 11 (c) 3 (d) 5
  28. 28.What is the mode of 2, 19, 7, 6, 6, 19 and 6? (a) 7 (b) 6 (c) 2 (d) 19
  29. 29.What is the mean of 8, 3, 2, 6, 11 and 6? (a) 8 (b) 5 (c) 6 (d) 7
  30. 30.The mean of 8 numbers is 34. When the number 70 is added to them, what is the new mean? (a) 52 (b) 39 (c) 34 (d) 38
  31. 31.The mean of 4 numbers is 22. When the number 37 is added to them, what is the new mean? (a) 25 (b) 22 (c) 24 (d) 26
  32. 32.What is the mean of 13, 14, 17, 11 and 20? (a) 14 (b) 15 (c) 16 (d) 17
  33. 33.What is the mode of 2, 19, 19, 19, 2, 13 and 15? (a) 15 (b) 2 (c) 13 (d) 19
  34. 34.What is the median of 35, 30, 27, 7, 24, 14 and 9? (a) 27 (b) 7 (c) 24 (d) 14
  35. 35.What is the mean of 15, 6, 6, 18 and 20? (a) 12 (b) 15 (c) 14 (d) 13
  36. 36.What is the mode of 5, 11, 10, 10, 18, 5 and 5? (a) 5 (b) 18 (c) 10 (d) 11
  37. 37.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 21 (b) 17 (c) 13 (d) 18
  38. 38.What is the mean of 17, 14, 14, 4, 18 and 5? (a) 14 (b) 13 (c) 11 (d) 12
  39. 39.What is the median of 37, 18, 11, 13 and 40? (a) 13 (b) 11 (c) 18 (d) 37
  40. 40.What is the mode of 12, 1, 18, 17, 12, 17 and 17? (a) 1 (b) 17 (c) 12 (d) 18

Answer key

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

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