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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 168 · 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 4 numbers is 40. When the number 35 is added to them, what is the new mean? (a) 40 (b) 39 (c) 38 (d) 41
  2. 2.What is the mean of 18, 14, 19, 6 and 3? (a) 10 (b) 15 (c) 13 (d) 12
  3. 3.What is the mean of 4, 12, 19 and 17? (a) 14 (b) 13 (c) 12 (d) 15
  4. 4.What is the median of 1, 21, 11, 30 and 22? (a) 21 (b) 11 (c) 17 (d) 22
  5. 5.What is the mode of 7, 5, 5, 7, 8, 12 and 5? (a) 12 (b) 5 (c) 7 (d) 8
  6. 6.The mean of 3 numbers is 32. When the number 28 is added to them, what is the new mean? (a) 30 (b) 31 (c) 33 (d) 32
  7. 7.What is the mean of 7, 3, 5 and 5? (a) 5 (b) 6 (c) 7 (d) 4
  8. 8.What is the mode of 2, 3, 2, 17, 3, 14 and 3? (a) 2 (b) 17 (c) 3 (d) 14
  9. 9.What is the mean of 7, 18, 11, 4, 15 and 11? (a) 10 (b) 12 (c) 13 (d) 11
  10. 10.The mean of 4 numbers is 23. When the number 28 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 23
  11. 11.What is the mean of 20, 11, 9, 17 and 8? (a) 14 (b) 12 (c) 13 (d) 15
  12. 12.What is the median of 22, 20, 34, 1, 23, 4 and 25? (a) 1 (b) 23 (c) 22 (d) 20
  13. 13.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 26 (b) 27 (c) 38 (d) 23
  14. 14.What is the mode of 9, 19, 2, 2, 19, 11 and 2? (a) 11 (b) 9 (c) 19 (d) 2
  15. 15.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 30 (b) 20 (c) 25 (d) 24
  16. 16.What is the mean of 2, 13, 2 and 19? (a) 12 (b) 8 (c) 9 (d) 10
  17. 17.What is the median of 30, 5, 33, 3 and 21? (a) 33 (b) 21 (c) 5 (d) 30
  18. 18.What is the mode of 5, 15, 10, 10, 5, 5 and 3? (a) 15 (b) 5 (c) 3 (d) 10
  19. 19.What is the mean of 3, 4, 4 and 13? (a) 5 (b) 7 (c) 6 (d) 8
  20. 20.What is the median of 4, 20, 3, 30 and 12? (a) 4 (b) 3 (c) 12 (d) 20
  21. 21.The mean of 6 numbers is 21. When the number 49 is added to them, what is the new mean? (a) 35 (b) 26 (c) 21 (d) 25
  22. 22.What is the mean of 17, 15, 3, 15, 3 and 7? (a) 11 (b) 12 (c) 10 (d) 9
  23. 23.What is the mean of 19, 19, 7, 4, 6 and 11? (a) 12 (b) 13 (c) 11 (d) 10
  24. 24.What is the mean of 16, 9, 5, 20 and 5? (a) 12 (b) 13 (c) 11 (d) 10
  25. 25.What is the mode of 10, 10, 11, 11, 10, 8 and 4? (a) 4 (b) 11 (c) 10 (d) 8
  26. 26.What is the mean of 7, 18, 16, 15, 8 and 2? (a) 13 (b) 12 (c) 10 (d) 11
  27. 27.What is the mean of 3, 18, 8, 10 and 6? (a) 11 (b) 8 (c) 10 (d) 9
  28. 28.What is the mode of 9, 1, 8, 9, 9, 6 and 8? (a) 9 (b) 6 (c) 8 (d) 1
  29. 29.What is the median of 27, 35, 16, 36 and 20? (a) 35 (b) 27 (c) 20 (d) 16
  30. 30.The mean of 4 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 13 (b) 12 (c) 8 (d) 11
  31. 31.What is the median of 25, 6, 33, 29 and 1? (a) 6 (b) 29 (c) 33 (d) 25
  32. 32.What is the mode of 14, 11, 18, 2, 14, 2 and 2? (a) 11 (b) 2 (c) 18 (d) 14
  33. 33.What is the mean of 5, 7, 8 and 20? (a) 11 (b) 9 (c) 10 (d) 8
  34. 34.What is the median of 14, 2, 32, 29 and 9? (a) 14 (b) 32 (c) 9 (d) 29
  35. 35.What is the median of 31, 4, 12, 3, 34, 2 and 20? (a) 12 (b) 3 (c) 20 (d) 4
  36. 36.What is the mode of 16, 1, 8, 8, 13, 8 and 16? (a) 1 (b) 8 (c) 16 (d) 13
  37. 37.What is the median of 12, 24, 6, 40, 3, 4 and 31? (a) 6 (b) 40 (c) 24 (d) 12
  38. 38.What is the median of 37, 13, 40, 9, 36, 4 and 1? (a) 36 (b) 13 (c) 9 (d) 20
  39. 39.What is the mode of 17, 14, 17, 9, 9, 8 and 9? (a) 17 (b) 14 (c) 9 (d) 8
  40. 40.What is the mode of 11, 11, 20, 9, 5, 9 and 9? (a) 11 (b) 9 (c) 5 (d) 20

Answer key

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

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