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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 240 · 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 38. When the number 28 is added to them, what is the new mean? (a) 37 (b) 36 (c) 33 (d) 38
  2. 2.What is the mode of 3, 18, 5, 3, 3, 18 and 13? (a) 5 (b) 3 (c) 18 (d) 13
  3. 3.What is the mean of 4, 17, 2, 11 and 21? (a) 10 (b) 13 (c) 12 (d) 11
  4. 4.What is the mean of 3, 16, 4, 5 and 7? (a) 8 (b) 7 (c) 6 (d) 9
  5. 5.What is the mode of 9, 2, 2, 11, 8, 2 and 8? (a) 9 (b) 11 (c) 2 (d) 8
  6. 6.What is the mean of 6, 10, 5, 12, 16 and 5? (a) 9 (b) 10 (c) 8 (d) 11
  7. 7.What is the mode of 1, 3, 15, 1, 3, 10 and 3? (a) 10 (b) 15 (c) 1 (d) 3
  8. 8.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 38 (b) 35 (c) 37 (d) 36
  9. 9.What is the mode of 17, 15, 14, 17, 5, 15 and 15? (a) 17 (b) 15 (c) 14 (d) 5
  10. 10.What is the mean of 2, 3, 16, 16, 2 and 9? (a) 10 (b) 8 (c) 9 (d) 7
  11. 11.What is the mode of 7, 9, 9, 9, 12, 4 and 7? (a) 7 (b) 12 (c) 9 (d) 4
  12. 12.The mean of 3 numbers is 34. When the number 18 is added to them, what is the new mean? (a) 26 (b) 34 (c) 31 (d) 30
  13. 13.The mean of 7 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 40 (b) 46 (c) 38 (d) 41
  14. 14.The mean of 5 numbers is 40. When the number 34 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 38
  15. 15.What is the mean of 11, 2, 3 and 16? (a) 7 (b) 9 (c) 8 (d) 10
  16. 16.What is the mean of 15, 3, 5, 13 and 4? (a) 8 (b) 10 (c) 9 (d) 7
  17. 17.What is the mean of 16, 2, 11, 4, 2 and 19? (a) 8 (b) 9 (c) 11 (d) 10
  18. 18.What is the mode of 1, 8, 8, 16, 20, 8 and 1? (a) 1 (b) 20 (c) 8 (d) 16
  19. 19.What is the mean of 10, 16, 12 and 6? (a) 11 (b) 13 (c) 10 (d) 12
  20. 20.What is the mean of 7, 14, 2 and 13? (a) 12 (b) 10 (c) 8 (d) 9
  21. 21.What is the mean of 5, 4, 4, 12, 16 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  22. 22.What is the mean of 7, 19, 4, 8 and 7? (a) 11 (b) 8 (c) 10 (d) 9
  23. 23.What is the mode of 4, 3, 3, 3, 5, 5 and 2? (a) 5 (b) 3 (c) 4 (d) 2
  24. 24.What is the median of 16, 5, 3, 37 and 12? (a) 12 (b) 16 (c) 5 (d) 3
  25. 25.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 13 (b) 14 (c) 10 (d) 16
  26. 26.The mean of 7 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 26 (b) 25 (c) 18 (d) 24
  27. 27.What is the mode of 14, 16, 12, 14, 12, 6 and 14? (a) 16 (b) 12 (c) 14 (d) 6
  28. 28.What is the mean of 14, 7, 3, 12, 3 and 9? (a) 8 (b) 9 (c) 10 (d) 7
  29. 29.What is the median of 39, 40, 31, 17, 5, 20 and 12? (a) 21 (b) 20 (c) 17 (d) 31
  30. 30.The mean of 8 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 23 (b) 29 (c) 22 (d) 20
  31. 31.The mean of 6 numbers is 20. When the number 48 is added to them, what is the new mean? (a) 24 (b) 20 (c) 25 (d) 34
  32. 32.What is the median of 27, 3, 40, 1 and 21? (a) 40 (b) 3 (c) 21 (d) 27
  33. 33.What is the mode of 17, 17, 17, 18, 10, 8 and 18? (a) 18 (b) 10 (c) 8 (d) 17
  34. 34.What is the median of 15, 35, 14, 28, 34, 29 and 11? (a) 29 (b) 15 (c) 28 (d) 27
  35. 35.What is the mean of 14, 16, 17 and 17? (a) 18 (b) 17 (c) 15 (d) 16
  36. 36.What is the mode of 2, 15, 2, 12, 19, 19 and 19? (a) 2 (b) 15 (c) 19 (d) 12
  37. 37.What is the mode of 4, 7, 1, 2, 2, 7 and 7? (a) 4 (b) 1 (c) 2 (d) 7
  38. 38.What is the mean of 17, 18, 4 and 9? (a) 11 (b) 13 (c) 16 (d) 12
  39. 39.The mean of 7 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 10 (b) 14 (c) 22 (d) 13
  40. 40.The mean of 5 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 34 (b) 28 (c) 32 (d) 33

Answer key

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

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