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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 325 · 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 mode of 14, 10, 2, 14, 14, 2 and 5? (a) 14 (b) 2 (c) 10 (d) 5
  2. 2.The mean of 7 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 41 (b) 42 (c) 39 (d) 47
  3. 3.What is the mode of 3, 6, 13, 6, 2, 2 and 2? (a) 2 (b) 3 (c) 13 (d) 6
  4. 4.What is the median of 19, 4, 22, 12 and 17? (a) 19 (b) 22 (c) 12 (d) 17
  5. 5.What is the mean of 12, 9, 3, 14, 7 and 21? (a) 11 (b) 12 (c) 10 (d) 13
  6. 6.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 43
  7. 7.What is the mode of 6, 14, 12, 9, 9, 9 and 6? (a) 12 (b) 6 (c) 9 (d) 14
  8. 8.The mean of 3 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 25 (b) 21 (c) 23 (d) 24
  9. 9.What is the mean of 5, 7, 4 and 16? (a) 7 (b) 10 (c) 9 (d) 8
  10. 10.The mean of 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 29
  11. 11.What is the median of 12, 5, 16, 28, 7, 15 and 32? (a) 15 (b) 16 (c) 28 (d) 12
  12. 12.What is the mean of 11, 15, 17, 4, 16 and 9? (a) 13 (b) 14 (c) 11 (d) 12
  13. 13.The mean of 7 numbers is 31. When the number 15 is added to them, what is the new mean? (a) 30 (b) 29 (c) 23 (d) 31
  14. 14.What is the mode of 20, 11, 14, 14, 14, 13 and 11? (a) 20 (b) 11 (c) 13 (d) 14
  15. 15.What is the median of 11, 19, 40, 5, 21, 22 and 35? (a) 21 (b) 5 (c) 19 (d) 22
  16. 16.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 30 (b) 32 (c) 33 (d) 31
  17. 17.What is the mean of 16, 8, 19 and 9? (a) 14 (b) 13 (c) 15 (d) 12
  18. 18.What is the median of 9, 27, 7, 13, 22, 14 and 35? (a) 22 (b) 14 (c) 13 (d) 15
  19. 19.The mean of 8 numbers is 35. When the number 71 is added to them, what is the new mean? (a) 39 (b) 35 (c) 40 (d) 53
  20. 20.What is the median of 38, 32, 10, 25, 22, 8 and 30? (a) 30 (b) 22 (c) 25 (d) 26
  21. 21.What is the median of 9, 33, 20, 17, 28, 11 and 34? (a) 20 (b) 21 (c) 28 (d) 17
  22. 22.What is the mode of 10, 18, 15, 14, 15, 15 and 18? (a) 14 (b) 18 (c) 15 (d) 10
  23. 23.The mean of 6 numbers is 10. When the number 24 is added to them, what is the new mean? (a) 17 (b) 13 (c) 12 (d) 10
  24. 24.What is the mean of 9, 12, 13, 9, 19 and 22? (a) 15 (b) 12 (c) 14 (d) 13
  25. 25.What is the median of 22, 18, 27, 16 and 36? (a) 22 (b) 23 (c) 27 (d) 18
  26. 26.What is the median of 13, 1, 12, 14 and 20? (a) 14 (b) 15 (c) 12 (d) 13
  27. 27.What is the mode of 2, 6, 3, 6, 3, 3 and 8? (a) 2 (b) 6 (c) 8 (d) 3
  28. 28.What is the mode of 15, 4, 4, 4, 5, 15 and 7? (a) 15 (b) 5 (c) 4 (d) 7
  29. 29.What is the mean of 15, 15, 18, 19 and 18? (a) 19 (b) 17 (c) 16 (d) 18
  30. 30.What is the mode of 14, 7, 14, 1, 5, 1 and 1? (a) 1 (b) 7 (c) 14 (d) 5
  31. 31.What is the mean of 19, 4, 20, 14 and 8? (a) 15 (b) 13 (c) 14 (d) 12
  32. 32.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 28 (b) 22 (c) 23 (d) 19
  33. 33.What is the mode of 10, 12, 12, 2, 18, 12 and 2? (a) 12 (b) 2 (c) 18 (d) 10
  34. 34.What is the median of 20, 2, 11, 26 and 21? (a) 16 (b) 11 (c) 21 (d) 20
  35. 35.What is the median of 33, 10, 40, 27, 34, 1 and 37? (a) 26 (b) 33 (c) 34 (d) 27
  36. 36.What is the median of 30, 38, 26, 20 and 34? (a) 26 (b) 34 (c) 31 (d) 30
  37. 37.The mean of 7 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 42 (b) 44 (c) 41 (d) 40
  38. 38.What is the mode of 2, 3, 20, 20, 20, 2 and 6? (a) 6 (b) 20 (c) 2 (d) 3
  39. 39.What is the median of 32, 20, 13, 35 and 9? (a) 20 (b) 21 (c) 13 (d) 32
  40. 40.What is the mode of 18, 16, 16, 20, 1, 16 and 20? (a) 16 (b) 18 (c) 1 (d) 20

Answer key

  1. 14
  2. 41
  3. 2
  4. 17
  5. 11
  6. 41
  7. 9
  8. 23
  9. 8
  10. 28
  11. 15
  12. 12
  13. 29
  14. 14
  15. 21
  16. 31
  17. 13
  18. 14
  19. 39
  20. 25
  21. 20
  22. 15
  23. 12
  24. 14
  25. 22
  26. 13
  27. 3
  28. 4
  29. 17
  30. 1
  31. 13
  32. 22
  33. 12
  34. 20
  35. 33
  36. 30
  37. 41
  38. 20
  39. 20
  40. 16

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