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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 715 · 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 8 numbers is 32. When the number 59 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 32
  2. 2.What is the mode of 11, 11, 3, 10, 10, 8 and 11? (a) 3 (b) 8 (c) 11 (d) 10
  3. 3.What is the mode of 20, 15, 15, 15, 16, 20 and 6? (a) 16 (b) 20 (c) 15 (d) 6
  4. 4.The mean of 9 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 29 (b) 31 (c) 34 (d) 30
  5. 5.The mean of 9 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 19 (b) 26 (c) 16 (d) 18
  6. 6.What is the mean of 9, 12, 15, 5, 3 and 10? (a) 8 (b) 10 (c) 9 (d) 11
  7. 7.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 11 (b) 12 (c) 10 (d) 13
  8. 8.The mean of 8 numbers is 36. When the number 63 is added to them, what is the new mean? (a) 36 (b) 40 (c) 38 (d) 39
  9. 9.What is the mean of 5, 14, 9 and 8? (a) 10 (b) 12 (c) 8 (d) 9
  10. 10.The mean of 3 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 30 (b) 31 (c) 33 (d) 27
  11. 11.The mean of 5 numbers is 27. When the number 21 is added to them, what is the new mean? (a) 27 (b) 24 (c) 26 (d) 25
  12. 12.The mean of 5 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 15 (b) 20 (c) 14 (d) 11
  13. 13.The mean of 5 numbers is 13. When the number 37 is added to them, what is the new mean? (a) 25 (b) 17 (c) 18 (d) 13
  14. 14.What is the median of 35, 31, 20, 25, 7, 32 and 3? (a) 31 (b) 20 (c) 25 (d) 26
  15. 15.What is the median of 40, 4, 35, 31, 11, 24 and 5? (a) 11 (b) 31 (c) 25 (d) 24
  16. 16.What is the mode of 7, 16, 1, 4, 16, 7 and 7? (a) 1 (b) 7 (c) 4 (d) 16
  17. 17.What is the mean of 3, 5, 3 and 21? (a) 8 (b) 9 (c) 7 (d) 10
  18. 18.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 39 (b) 38 (c) 36 (d) 37
  19. 19.What is the mode of 3, 1, 7, 6, 1, 1 and 3? (a) 6 (b) 1 (c) 7 (d) 3
  20. 20.What is the median of 12, 22, 23, 38 and 5? (a) 12 (b) 23 (c) 22 (d) 20
  21. 21.What is the mode of 18, 4, 4, 7, 18, 18 and 10? (a) 18 (b) 10 (c) 7 (d) 4
  22. 22.The mean of 4 numbers is 21. When the number 36 is added to them, what is the new mean? (a) 23 (b) 25 (c) 21 (d) 24
  23. 23.What is the mode of 19, 7, 4, 4, 11, 7 and 7? (a) 11 (b) 4 (c) 19 (d) 7
  24. 24.What is the mode of 9, 9, 2, 14, 7, 2 and 9? (a) 7 (b) 9 (c) 14 (d) 2
  25. 25.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 10 (b) 14 (c) 12 (d) 13
  26. 26.What is the mode of 11, 5, 19, 9, 19, 19 and 9? (a) 19 (b) 11 (c) 5 (d) 9
  27. 27.What is the median of 9, 23, 12, 18 and 37? (a) 19 (b) 12 (c) 18 (d) 23
  28. 28.What is the median of 15, 22, 26, 38 and 33? (a) 27 (b) 22 (c) 26 (d) 33
  29. 29.What is the mean of 19, 10, 17, 3, 3 and 8? (a) 12 (b) 9 (c) 11 (d) 10
  30. 30.What is the mean of 20, 9, 6 and 5? (a) 9 (b) 11 (c) 10 (d) 8
  31. 31.What is the mode of 13, 2, 5, 2, 10, 2 and 5? (a) 5 (b) 13 (c) 2 (d) 10
  32. 32.What is the median of 21, 7, 35, 15 and 30? (a) 35 (b) 15 (c) 30 (d) 21
  33. 33.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 19 (b) 14 (c) 18 (d) 24
  34. 34.What is the mean of 10, 15, 2, 16, 8 and 3? (a) 8 (b) 9 (c) 10 (d) 11
  35. 35.What is the mean of 9, 20, 3, 12 and 6? (a) 11 (b) 9 (c) 12 (d) 10
  36. 36.What is the mean of 16, 20, 3, 3 and 18? (a) 15 (b) 13 (c) 12 (d) 10
  37. 37.What is the mode of 13, 17, 13, 12, 6, 17 and 13? (a) 13 (b) 6 (c) 17 (d) 12
  38. 38.What is the mean of 17, 5, 6 and 4? (a) 9 (b) 10 (c) 8 (d) 7
  39. 39.The mean of 9 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 18 (b) 14 (c) 19 (d) 17
  40. 40.What is the mode of 2, 6, 1, 18, 2, 2 and 6? (a) 1 (b) 18 (c) 6 (d) 2

Answer key

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

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