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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 28 · 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 10, 19, 4, 38, 32, 6 and 3? (a) 19 (b) 10 (c) 38 (d) 16
  2. 2.What is the mean of 8, 18, 8, 18 and 8? (a) 13 (b) 10 (c) 15 (d) 12
  3. 3.What is the mean of 2, 9, 15, 8, 19 and 7? (a) 10 (b) 12 (c) 11 (d) 9
  4. 4.What is the mean of 15, 20, 13, 10, 15 and 11? (a) 12 (b) 15 (c) 13 (d) 14
  5. 5.What is the mean of 10, 4, 4 and 6? (a) 6 (b) 5 (c) 7 (d) 8
  6. 6.The mean of 4 numbers is 25. When the number 15 is added to them, what is the new mean? (a) 20 (b) 24 (c) 23 (d) 25
  7. 7.What is the mean of 3, 10, 17, 20 and 10? (a) 12 (b) 15 (c) 10 (d) 13
  8. 8.What is the median of 2, 29, 35, 12, 34, 26 and 19? (a) 12 (b) 26 (c) 19 (d) 29
  9. 9.The mean of 4 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 35 (b) 33 (c) 30 (d) 34
  10. 10.What is the mode of 13, 17, 17, 19, 8, 17 and 8? (a) 8 (b) 17 (c) 19 (d) 13
  11. 11.What is the mean of 8, 11, 19, 16 and 6? (a) 15 (b) 12 (c) 10 (d) 13
  12. 12.The mean of 5 numbers is 29. When the number 47 is added to them, what is the new mean? (a) 32 (b) 29 (c) 38 (d) 33
  13. 13.What is the mean of 3, 16, 16 and 13? (a) 16 (b) 11 (c) 12 (d) 13
  14. 14.What is the median of 40, 26, 32, 16, 28, 19 and 37? (a) 16 (b) 26 (c) 28 (d) 32
  15. 15.What is the mode of 11, 13, 13, 15, 18, 18 and 13? (a) 15 (b) 13 (c) 18 (d) 11
  16. 16.What is the mode of 16, 11, 10, 20, 11, 11 and 10? (a) 16 (b) 10 (c) 20 (d) 11
  17. 17.What is the median of 34, 17, 15, 3, 14, 8 and 27? (a) 3 (b) 14 (c) 17 (d) 15
  18. 18.What is the mode of 5, 4, 4, 14, 20, 5 and 5? (a) 4 (b) 14 (c) 20 (d) 5
  19. 19.What is the median of 21, 24, 9, 32, 31, 5 and 40? (a) 24 (b) 31 (c) 21 (d) 32
  20. 20.What is the median of 35, 21, 1, 20 and 31? (a) 21 (b) 31 (c) 1 (d) 20
  21. 21.What is the median of 17, 2, 16, 8, 6, 39 and 18? (a) 16 (b) 8 (c) 17 (d) 15
  22. 22.What is the mean of 17, 15, 3, 11 and 19? (a) 12 (b) 14 (c) 13 (d) 15
  23. 23.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 11
  24. 24.What is the mean of 16, 16, 19, 3 and 11? (a) 13 (b) 14 (c) 15 (d) 12
  25. 25.What is the mode of 3, 13, 19, 15, 13, 15 and 13? (a) 13 (b) 3 (c) 19 (d) 15
  26. 26.What is the mean of 13, 18, 6, 19 and 19? (a) 14 (b) 15 (c) 17 (d) 16
  27. 27.What is the mean of 20, 14, 6 and 4? (a) 10 (b) 11 (c) 12 (d) 13
  28. 28.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 27 (b) 33 (c) 37 (d) 34
  29. 29.What is the mean of 14, 2, 14, 15 and 10? (a) 11 (b) 10 (c) 13 (d) 12
  30. 30.What is the median of 11, 39, 1, 37, 28, 35 and 3? (a) 22 (b) 28 (c) 35 (d) 37
  31. 31.What is the mean of 13, 2, 20 and 9? (a) 10 (b) 13 (c) 12 (d) 11
  32. 32.What is the mean of 19, 6, 13 and 18? (a) 15 (b) 16 (c) 13 (d) 14
  33. 33.The mean of 6 numbers is 34. When the number 20 is added to them, what is the new mean? (a) 27 (b) 34 (c) 32 (d) 33
  34. 34.What is the mean of 20, 6, 8, 12, 10 and 16? (a) 11 (b) 13 (c) 14 (d) 12
  35. 35.What is the mean of 3, 7, 17 and 17? (a) 10 (b) 13 (c) 12 (d) 11
  36. 36.What is the mode of 16, 1, 10, 1, 8, 10 and 10? (a) 16 (b) 8 (c) 10 (d) 1
  37. 37.What is the median of 2, 32, 24, 7 and 4? (a) 24 (b) 4 (c) 8 (d) 7
  38. 38.What is the mean of 7, 11, 15 and 7? (a) 9 (b) 8 (c) 10 (d) 11
  39. 39.The mean of 5 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 35 (b) 26 (c) 34 (d) 38
  40. 40.What is the mode of 10, 11, 8, 9, 8, 9 and 9? (a) 10 (b) 11 (c) 8 (d) 9

Answer key

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

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