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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 315 · 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 2, 16, 14, 12 and 1? (a) 14 (b) 2 (c) 9 (d) 12
  2. 2.The mean of 4 numbers is 37. When the number 42 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 40
  3. 3.What is the median of 37, 29, 10, 36 and 15? (a) 10 (b) 36 (c) 29 (d) 15
  4. 4.What is the mean of 3, 16, 7 and 6? (a) 9 (b) 10 (c) 8 (d) 7
  5. 5.What is the mode of 2, 15, 18, 13, 2, 15 and 15? (a) 13 (b) 2 (c) 18 (d) 15
  6. 6.What is the mean of 8, 17, 19, 16, 2 and 16? (a) 12 (b) 15 (c) 14 (d) 13
  7. 7.The mean of 4 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 17 (b) 14 (c) 15 (d) 12
  8. 8.What is the mode of 17, 7, 20, 7, 17, 7 and 5? (a) 20 (b) 17 (c) 5 (d) 7
  9. 9.What is the median of 31, 15, 4, 8 and 11? (a) 4 (b) 11 (c) 15 (d) 8
  10. 10.What is the mean of 10, 7, 5, 4, 15 and 19? (a) 9 (b) 10 (c) 12 (d) 11
  11. 11.What is the mode of 13, 14, 7, 14, 7, 11 and 14? (a) 7 (b) 11 (c) 14 (d) 13
  12. 12.What is the mean of 18, 4, 5 and 5? (a) 9 (b) 10 (c) 7 (d) 8
  13. 13.What is the mean of 5, 13, 10 and 8? (a) 12 (b) 9 (c) 8 (d) 10
  14. 14.What is the mean of 16, 16, 2 and 18? (a) 13 (b) 15 (c) 14 (d) 12
  15. 15.What is the median of 16, 23, 24, 12 and 40? (a) 16 (b) 24 (c) 23 (d) 22
  16. 16.What is the mean of 9, 17, 9, 4, 12 and 9? (a) 11 (b) 10 (c) 9 (d) 12
  17. 17.What is the median of 22, 13, 24, 5 and 39? (a) 24 (b) 13 (c) 23 (d) 22
  18. 18.What is the mode of 20, 18, 9, 18, 3, 18 and 3? (a) 3 (b) 9 (c) 20 (d) 18
  19. 19.What is the mean of 10, 19, 5 and 10? (a) 13 (b) 10 (c) 11 (d) 12
  20. 20.What is the mode of 7, 4, 2, 4, 2, 20 and 2? (a) 20 (b) 2 (c) 7 (d) 4
  21. 21.The mean of 8 numbers is 20. When the number 29 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 20
  22. 22.What is the median of 38, 8, 34, 32, 31, 10 and 30? (a) 32 (b) 30 (c) 31 (d) 33
  23. 23.What is the mode of 17, 7, 17, 4, 15, 7 and 17? (a) 15 (b) 4 (c) 17 (d) 7
  24. 24.What is the mean of 8, 10, 7 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  25. 25.What is the mode of 3, 8, 16, 16, 3, 18 and 16? (a) 16 (b) 18 (c) 8 (d) 3
  26. 26.What is the median of 9, 5, 21, 40 and 39? (a) 39 (b) 9 (c) 21 (d) 22
  27. 27.What is the mean of 15, 2, 17, 3, 18 and 11? (a) 10 (b) 13 (c) 12 (d) 11
  28. 28.What is the median of 24, 28, 12, 39, 16, 32 and 33? (a) 39 (b) 32 (c) 24 (d) 28
  29. 29.What is the mean of 5, 3, 8, 16, 11 and 5? (a) 9 (b) 8 (c) 7 (d) 10
  30. 30.What is the mean of 5, 15, 10, 4 and 11? (a) 10 (b) 11 (c) 9 (d) 8
  31. 31.The mean of 3 numbers is 37. When the number 25 is added to them, what is the new mean? (a) 35 (b) 31 (c) 37 (d) 34
  32. 32.What is the mean of 6, 18, 17 and 7? (a) 11 (b) 13 (c) 16 (d) 12
  33. 33.What is the mean of 13, 12, 9, 10 and 16? (a) 15 (b) 10 (c) 13 (d) 12
  34. 34.The mean of 4 numbers is 34. When the number 29 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 32
  35. 35.What is the median of 13, 24, 9, 35, 5, 38 and 23? (a) 24 (b) 21 (c) 23 (d) 35
  36. 36.What is the mode of 4, 8, 3, 10, 4, 3 and 4? (a) 4 (b) 10 (c) 3 (d) 8
  37. 37.What is the median of 1, 30, 5, 36 and 10? (a) 11 (b) 5 (c) 10 (d) 30
  38. 38.What is the median of 16, 1, 29, 36, 30, 10 and 17? (a) 17 (b) 29 (c) 36 (d) 16
  39. 39.What is the median of 26, 24, 34, 29 and 7? (a) 34 (b) 24 (c) 29 (d) 26
  40. 40.What is the mode of 4, 11, 8, 5, 4, 8 and 8? (a) 8 (b) 11 (c) 5 (d) 4

Answer key

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

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