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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 18 · 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 9 numbers is 24. When the number 64 is added to them, what is the new mean? (a) 28 (b) 29 (c) 24 (d) 44
  2. 2.The mean of 7 numbers is 29. When the number 61 is added to them, what is the new mean? (a) 34 (b) 29 (c) 33 (d) 45
  3. 3.What is the median of 17, 30, 16, 6, 5, 3 and 14? (a) 16 (b) 14 (c) 13 (d) 6
  4. 4.What is the mean of 13, 5, 3 and 15? (a) 9 (b) 8 (c) 12 (d) 10
  5. 5.What is the mode of 8, 14, 8, 8, 9, 9 and 18? (a) 14 (b) 9 (c) 18 (d) 8
  6. 6.What is the mean of 18, 10, 13, 12 and 12? (a) 15 (b) 13 (c) 14 (d) 12
  7. 7.What is the mode of 12, 12, 6, 7, 1, 7 and 7? (a) 1 (b) 6 (c) 12 (d) 7
  8. 8.What is the median of 23, 6, 9, 19, 35, 39 and 31? (a) 24 (b) 19 (c) 31 (d) 23
  9. 9.What is the median of 1, 4, 14, 27, 19, 22 and 7? (a) 27 (b) 14 (c) 19 (d) 7
  10. 10.What is the mean of 3, 9, 14, 11 and 18? (a) 13 (b) 12 (c) 11 (d) 10
  11. 11.What is the median of 37, 26, 3, 33, 32, 15 and 2? (a) 26 (b) 15 (c) 33 (d) 32
  12. 12.What is the median of 16, 32, 1, 8 and 34? (a) 32 (b) 16 (c) 1 (d) 8
  13. 13.What is the mode of 4, 4, 9, 8, 14, 9 and 4? (a) 8 (b) 14 (c) 9 (d) 4
  14. 14.What is the mode of 10, 11, 10, 20, 10, 12 and 20? (a) 20 (b) 12 (c) 11 (d) 10
  15. 15.What is the mean of 7, 19, 4 and 18? (a) 16 (b) 12 (c) 13 (d) 11
  16. 16.The mean of 8 numbers is 33. When the number 60 is added to them, what is the new mean? (a) 37 (b) 33 (c) 35 (d) 36
  17. 17.What is the median of 21, 14, 12, 18, 40, 37 and 4? (a) 19 (b) 18 (c) 21 (d) 14
  18. 18.What is the median of 13, 33, 11, 29, 1, 14 and 12? (a) 12 (b) 13 (c) 14 (d) 29
  19. 19.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 16 (b) 25 (c) 23 (d) 24
  20. 20.What is the mean of 4, 5, 11, 5 and 15? (a) 7 (b) 8 (c) 9 (d) 10
  21. 21.What is the median of 33, 11, 6, 25 and 5? (a) 6 (b) 25 (c) 16 (d) 11
  22. 22.What is the mode of 3, 3, 2, 13, 3, 4 and 2? (a) 2 (b) 4 (c) 3 (d) 13
  23. 23.What is the mean of 6, 9, 8 and 21? (a) 11 (b) 10 (c) 13 (d) 12
  24. 24.What is the mean of 4, 3, 3 and 6? (a) 5 (b) 4 (c) 6 (d) 3
  25. 25.What is the mode of 12, 3, 2, 12, 9, 12 and 9? (a) 12 (b) 9 (c) 3 (d) 2
  26. 26.What is the mode of 6, 11, 20, 1, 20, 20 and 6? (a) 20 (b) 1 (c) 11 (d) 6
  27. 27.What is the mode of 5, 4, 1, 5, 4, 8 and 5? (a) 1 (b) 4 (c) 5 (d) 8
  28. 28.What is the mode of 15, 18, 9, 18, 15, 14 and 18? (a) 18 (b) 15 (c) 9 (d) 14
  29. 29.What is the mean of 7, 6, 13 and 10? (a) 8 (b) 12 (c) 9 (d) 10
  30. 30.The mean of 3 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 17 (b) 13 (c) 19 (d) 16
  31. 31.What is the mode of 4, 4, 17, 4, 16, 16 and 15? (a) 17 (b) 16 (c) 15 (d) 4
  32. 32.What is the median of 36, 2, 39, 34, 22, 1 and 40? (a) 36 (b) 22 (c) 35 (d) 34
  33. 33.What is the median of 11, 23, 31, 5, 40, 28 and 7? (a) 28 (b) 11 (c) 23 (d) 5
  34. 34.What is the mean of 2, 7, 7 and 12? (a) 7 (b) 8 (c) 9 (d) 6
  35. 35.What is the mode of 12, 5, 19, 19, 19, 6 and 12? (a) 5 (b) 12 (c) 19 (d) 6
  36. 36.What is the mode of 10, 12, 14, 15, 10, 14 and 10? (a) 10 (b) 14 (c) 12 (d) 15
  37. 37.What is the mode of 1, 14, 20, 20, 1, 20 and 11? (a) 1 (b) 20 (c) 11 (d) 14
  38. 38.What is the median of 38, 25, 9, 29, 17, 22 and 40? (a) 25 (b) 22 (c) 29 (d) 26
  39. 39.What is the mode of 12, 12, 20, 20, 20, 14 and 9? (a) 14 (b) 9 (c) 20 (d) 12
  40. 40.The mean of 4 numbers is 40. When the number 20 is added to them, what is the new mean? (a) 37 (b) 30 (c) 36 (d) 40

Answer key

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

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