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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 371 · 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 6 numbers is 10. When the number 3 is added to them, what is the new mean? (a) 11 (b) 9 (c) 10 (d) 8
  2. 2.What is the mode of 8, 7, 7, 3, 7, 19 and 8? (a) 3 (b) 19 (c) 7 (d) 8
  3. 3.What is the mean of 2, 13, 2, 17 and 21? (a) 13 (b) 11 (c) 12 (d) 10
  4. 4.What is the mean of 9, 12, 4 and 7? (a) 9 (b) 8 (c) 10 (d) 7
  5. 5.What is the mode of 20, 4, 4, 4, 18, 18 and 1? (a) 1 (b) 4 (c) 20 (d) 18
  6. 6.What is the median of 1, 3, 35, 30 and 20? (a) 3 (b) 30 (c) 35 (d) 20
  7. 7.What is the mean of 16, 15, 7 and 14? (a) 13 (b) 15 (c) 12 (d) 14
  8. 8.What is the mode of 13, 2, 16, 3, 13, 2 and 2? (a) 13 (b) 2 (c) 16 (d) 3
  9. 9.What is the mode of 17, 18, 10, 10, 18, 1 and 18? (a) 1 (b) 17 (c) 18 (d) 10
  10. 10.What is the median of 18, 5, 3, 7 and 11? (a) 7 (b) 3 (c) 11 (d) 5
  11. 11.The mean of 3 numbers is 25. When the number 29 is added to them, what is the new mean? (a) 25 (b) 28 (c) 26 (d) 27
  12. 12.What is the median of 33, 6, 28, 12 and 21? (a) 20 (b) 28 (c) 21 (d) 12
  13. 13.What is the mode of 2, 9, 4, 19, 19, 9 and 9? (a) 2 (b) 9 (c) 19 (d) 4
  14. 14.What is the median of 2, 5, 9, 8 and 7? (a) 7 (b) 8 (c) 9 (d) 5
  15. 15.What is the median of 40, 7, 29, 30, 3, 34 and 31? (a) 32 (b) 31 (c) 30 (d) 29
  16. 16.What is the median of 25, 6, 12, 27, 20, 17 and 19? (a) 19 (b) 18 (c) 27 (d) 20
  17. 17.What is the mean of 5, 14, 2, 6, 9 and 6? (a) 7 (b) 6 (c) 9 (d) 8
  18. 18.The mean of 4 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 31 (b) 29 (c) 26 (d) 28
  19. 19.What is the median of 26, 34, 25, 35 and 12? (a) 27 (b) 26 (c) 34 (d) 25
  20. 20.What is the mode of 4, 4, 19, 4, 6, 6 and 5? (a) 5 (b) 6 (c) 19 (d) 4
  21. 21.What is the mean of 3, 3, 7 and 19? (a) 8 (b) 7 (c) 9 (d) 10
  22. 22.What is the median of 39, 2, 5, 33, 19, 20 and 3? (a) 33 (b) 5 (c) 19 (d) 20
  23. 23.What is the median of 33, 28, 15, 6 and 2? (a) 6 (b) 16 (c) 15 (d) 28
  24. 24.What is the mean of 14, 14, 14, 14 and 19? (a) 16 (b) 15 (c) 17 (d) 14
  25. 25.What is the median of 38, 5, 11, 6 and 2? (a) 11 (b) 5 (c) 6 (d) 7
  26. 26.The mean of 3 numbers is 33. When the number 29 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 31
  27. 27.The mean of 6 numbers is 13. When the number 20 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 14
  28. 28.The mean of 6 numbers is 29. When the number 1 is added to them, what is the new mean? (a) 26 (b) 25 (c) 15 (d) 29
  29. 29.What is the mode of 18, 12, 18, 12, 17, 4 and 18? (a) 17 (b) 12 (c) 18 (d) 4
  30. 30.What is the mode of 16, 12, 20, 12, 2, 20 and 12? (a) 20 (b) 2 (c) 16 (d) 12
  31. 31.What is the mean of 16, 15, 10, 13, 20 and 10? (a) 13 (b) 15 (c) 12 (d) 14
  32. 32.What is the mode of 5, 14, 14, 11, 3, 5 and 5? (a) 11 (b) 14 (c) 3 (d) 5
  33. 33.What is the mean of 4, 8, 11 and 17? (a) 8 (b) 10 (c) 11 (d) 9
  34. 34.What is the mean of 14, 11, 3 and 20? (a) 16 (b) 12 (c) 11 (d) 13
  35. 35.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 41 (b) 39 (c) 38 (d) 40
  36. 36.What is the mode of 20, 20, 3, 20, 3, 4 and 14? (a) 20 (b) 14 (c) 3 (d) 4
  37. 37.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 21 (b) 20 (c) 23 (d) 22
  38. 38.What is the mode of 3, 3, 1, 6, 1, 13 and 3? (a) 3 (b) 13 (c) 6 (d) 1
  39. 39.What is the mean of 13, 9, 5 and 17? (a) 10 (b) 13 (c) 11 (d) 12
  40. 40.What is the mean of 6, 14, 16, 17 and 2? (a) 10 (b) 12 (c) 13 (d) 11

Answer key

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

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