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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 869 · 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 30, 5, 40, 15 and 24? (a) 40 (b) 30 (c) 24 (d) 15
  2. 2.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 13 (b) 14 (c) 15 (d) 16
  3. 3.What is the mode of 16, 20, 20, 1, 8, 20 and 1? (a) 16 (b) 1 (c) 8 (d) 20
  4. 4.What is the median of 27, 21, 4, 38, 1, 6 and 37? (a) 27 (b) 38 (c) 21 (d) 6
  5. 5.The mean of 4 numbers is 10. When the number 20 is added to them, what is the new mean? (a) 10 (b) 15 (c) 13 (d) 12
  6. 6.What is the median of 20, 30, 10, 31 and 6? (a) 20 (b) 10 (c) 21 (d) 30
  7. 7.What is the median of 17, 20, 14, 34, 27, 23 and 40? (a) 23 (b) 34 (c) 27 (d) 25
  8. 8.What is the mean of 13, 20, 16, 7 and 4? (a) 15 (b) 13 (c) 12 (d) 10
  9. 9.What is the mean of 15, 5, 17 and 23? (a) 16 (b) 15 (c) 20 (d) 12
  10. 10.The mean of 6 numbers is 36. When the number 22 is added to them, what is the new mean? (a) 35 (b) 29 (c) 34 (d) 36
  11. 11.What is the mode of 15, 10, 17, 10, 10, 17 and 13? (a) 13 (b) 17 (c) 15 (d) 10
  12. 12.What is the mode of 11, 13, 11, 12, 11, 6 and 13? (a) 6 (b) 13 (c) 12 (d) 11
  13. 13.What is the mode of 13, 13, 1, 13, 2, 1 and 20? (a) 13 (b) 20 (c) 2 (d) 1
  14. 14.What is the mode of 2, 5, 5, 16, 15, 5 and 15? (a) 15 (b) 5 (c) 2 (d) 16
  15. 15.What is the mode of 16, 10, 5, 16, 2, 2 and 2? (a) 2 (b) 10 (c) 5 (d) 16
  16. 16.What is the mode of 5, 13, 4, 4, 5, 3 and 4? (a) 4 (b) 13 (c) 3 (d) 5
  17. 17.What is the mean of 7, 13, 12, 16 and 22? (a) 16 (b) 13 (c) 15 (d) 14
  18. 18.What is the mode of 19, 8, 1, 13, 13, 8 and 13? (a) 8 (b) 19 (c) 1 (d) 13
  19. 19.What is the mode of 14, 10, 13, 10, 10, 9 and 13? (a) 13 (b) 14 (c) 10 (d) 9
  20. 20.What is the mean of 16, 12, 16, 15, 4 and 3? (a) 11 (b) 12 (c) 13 (d) 10
  21. 21.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 30 (b) 29 (c) 31 (d) 24
  22. 22.What is the mean of 5, 6, 17, 12 and 20? (a) 12 (b) 13 (c) 15 (d) 10
  23. 23.What is the mode of 8, 6, 7, 6, 8, 2 and 6? (a) 8 (b) 2 (c) 7 (d) 6
  24. 24.What is the mode of 9, 16, 2, 16, 5, 2 and 2? (a) 9 (b) 16 (c) 5 (d) 2
  25. 25.What is the mean of 7, 14, 18, 6, 5 and 22? (a) 11 (b) 14 (c) 13 (d) 12
  26. 26.What is the median of 12, 26, 34, 14 and 2? (a) 14 (b) 34 (c) 12 (d) 26
  27. 27.What is the median of 1, 26, 19, 2, 39, 4 and 24? (a) 4 (b) 19 (c) 24 (d) 2
  28. 28.The mean of 3 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 7 (b) 10 (c) 11 (d) 13
  29. 29.What is the mode of 9, 3, 9, 7, 5, 9 and 3? (a) 5 (b) 3 (c) 9 (d) 7
  30. 30.What is the mean of 9, 2, 3, 11, 9 and 8? (a) 6 (b) 8 (c) 9 (d) 7
  31. 31.What is the median of 12, 2, 16, 18, 23, 14 and 24? (a) 14 (b) 18 (c) 17 (d) 16
  32. 32.The mean of 6 numbers is 32. When the number 11 is added to them, what is the new mean? (a) 28 (b) 32 (c) 29 (d) 30
  33. 33.The mean of 8 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 22 (b) 31 (c) 30 (d) 29
  34. 34.The mean of 5 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 29 (b) 41 (c) 33 (d) 34
  35. 35.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 31 (b) 32 (c) 28 (d) 34
  36. 36.What is the mean of 16, 2, 19, 3, 8 and 18? (a) 12 (b) 13 (c) 11 (d) 10
  37. 37.The mean of 7 numbers is 32. When the number 16 is added to them, what is the new mean? (a) 31 (b) 32 (c) 24 (d) 30
  38. 38.What is the median of 12, 2, 15, 18, 34, 36 and 6? (a) 18 (b) 15 (c) 12 (d) 16
  39. 39.What is the mean of 5, 19, 19 and 9? (a) 12 (b) 15 (c) 13 (d) 14
  40. 40.What is the mean of 4, 19, 15 and 6? (a) 12 (b) 13 (c) 10 (d) 11

Answer key

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

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