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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 480 · 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 median of 30, 10, 7, 4 and 39? (a) 7 (b) 18 (c) 10 (d) 30
  2. 2.What is the mode of 20, 11, 8, 11, 15, 8 and 11? (a) 20 (b) 15 (c) 8 (d) 11
  3. 3.The mean of 6 numbers is 13. When the number 41 is added to them, what is the new mean? (a) 17 (b) 13 (c) 18 (d) 27
  4. 4.What is the mode of 14, 8, 14, 11, 8, 2 and 14? (a) 14 (b) 8 (c) 11 (d) 2
  5. 5.What is the median of 7, 26, 8, 25 and 6? (a) 7 (b) 25 (c) 9 (d) 8
  6. 6.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 20 (b) 19 (c) 17 (d) 18
  7. 7.What is the median of 14, 20, 22, 2, 8, 6 and 21? (a) 14 (b) 8 (c) 20 (d) 2
  8. 8.What is the median of 11, 5, 7, 19 and 34? (a) 19 (b) 12 (c) 11 (d) 7
  9. 9.What is the mean of 7, 12, 18, 14 and 9? (a) 10 (b) 15 (c) 12 (d) 13
  10. 10.The mean of 3 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 32 (b) 33 (c) 28 (d) 36
  11. 11.The mean of 3 numbers is 30. When the number 46 is added to them, what is the new mean? (a) 30 (b) 34 (c) 38 (d) 35
  12. 12.What is the mode of 17, 20, 20, 11, 20, 17 and 1? (a) 1 (b) 20 (c) 11 (d) 17
  13. 13.The mean of 4 numbers is 22. When the number 7 is added to them, what is the new mean? (a) 20 (b) 18 (c) 22 (d) 19
  14. 14.What is the mean of 11, 4, 6, 13 and 6? (a) 8 (b) 10 (c) 9 (d) 7
  15. 15.What is the mode of 3, 16, 3, 5, 3, 5 and 10? (a) 5 (b) 16 (c) 10 (d) 3
  16. 16.What is the mode of 6, 15, 19, 5, 15, 15 and 19? (a) 6 (b) 15 (c) 19 (d) 5
  17. 17.What is the mode of 3, 4, 3, 15, 3, 15 and 12? (a) 3 (b) 15 (c) 12 (d) 4
  18. 18.What is the median of 3, 19, 37, 31, 32, 35 and 14? (a) 32 (b) 30 (c) 31 (d) 19
  19. 19.What is the mode of 8, 1, 15, 15, 13, 1 and 1? (a) 13 (b) 15 (c) 8 (d) 1
  20. 20.The mean of 9 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 15 (b) 20 (c) 17 (d) 16
  21. 21.What is the median of 25, 18, 37, 26 and 21? (a) 26 (b) 37 (c) 25 (d) 21
  22. 22.What is the median of 15, 11, 34, 26 and 20? (a) 15 (b) 34 (c) 20 (d) 26
  23. 23.What is the mean of 15, 2, 7 and 16? (a) 10 (b) 11 (c) 9 (d) 8
  24. 24.What is the mean of 12, 14, 2, 12, 7 and 19? (a) 11 (b) 13 (c) 12 (d) 10
  25. 25.What is the median of 2, 4, 6, 11, 5, 24 and 34? (a) 5 (b) 6 (c) 7 (d) 11
  26. 26.The mean of 7 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 38 (b) 39 (c) 35 (d) 37
  27. 27.What is the median of 12, 36, 31, 34, 14, 8 and 7? (a) 12 (b) 34 (c) 31 (d) 14
  28. 28.What is the median of 13, 30, 20, 10 and 32? (a) 20 (b) 30 (c) 21 (d) 13
  29. 29.What is the mode of 7, 15, 17, 17, 14, 7 and 7? (a) 14 (b) 15 (c) 17 (d) 7
  30. 30.What is the mean of 18, 20, 20, 15 and 17? (a) 15 (b) 19 (c) 18 (d) 17
  31. 31.The mean of 7 numbers is 19. When the number 51 is added to them, what is the new mean? (a) 19 (b) 24 (c) 23 (d) 35
  32. 32.The mean of 4 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 26 (b) 31 (c) 30 (d) 36
  33. 33.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 37 (b) 41 (c) 42 (d) 45
  34. 34.What is the mode of 4, 13, 9, 4, 4, 13 and 7? (a) 7 (b) 13 (c) 9 (d) 4
  35. 35.What is the mode of 8, 20, 19, 19, 3, 19 and 20? (a) 8 (b) 3 (c) 20 (d) 19
  36. 36.What is the median of 29, 13, 32, 25, 16, 8 and 23? (a) 16 (b) 25 (c) 24 (d) 23
  37. 37.What is the mean of 5, 9, 2, 20 and 19? (a) 10 (b) 11 (c) 12 (d) 13
  38. 38.The mean of 7 numbers is 24. When the number 56 is added to them, what is the new mean? (a) 29 (b) 24 (c) 28 (d) 40
  39. 39.What is the median of 36, 32, 15, 1 and 28? (a) 28 (b) 15 (c) 32 (d) 29
  40. 40.The mean of 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 20 (b) 23 (c) 14 (d) 21

Answer key

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

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