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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 358 · 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 8 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 34 (b) 32 (c) 25 (d) 33
  2. 2.What is the median of 18, 22, 1, 6, 33, 31 and 25? (a) 25 (b) 18 (c) 22 (d) 6
  3. 3.What is the mode of 1, 4, 9, 1, 4, 15 and 1? (a) 9 (b) 1 (c) 4 (d) 15
  4. 4.What is the median of 2, 25, 35, 12, 18, 23 and 14? (a) 23 (b) 12 (c) 18 (d) 14
  5. 5.The mean of 7 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 34 (b) 30 (c) 31 (d) 32
  6. 6.What is the median of 4, 25, 40, 16 and 38? (a) 25 (b) 38 (c) 40 (d) 16
  7. 7.What is the mode of 12, 5, 5, 15, 17, 12 and 5? (a) 12 (b) 17 (c) 15 (d) 5
  8. 8.What is the mode of 2, 19, 8, 19, 14, 2 and 19? (a) 2 (b) 8 (c) 14 (d) 19
  9. 9.What is the mode of 4, 19, 4, 19, 19, 7 and 20? (a) 20 (b) 7 (c) 19 (d) 4
  10. 10.The mean of 8 numbers is 29. When the number 20 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 30
  11. 11.The mean of 3 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 22 (b) 23 (c) 18 (d) 26
  12. 12.What is the median of 2, 12, 29, 33 and 18? (a) 19 (b) 29 (c) 12 (d) 18
  13. 13.What is the mode of 15, 17, 12, 12, 20, 12 and 15? (a) 15 (b) 20 (c) 12 (d) 17
  14. 14.What is the mode of 11, 18, 18, 3, 3, 3 and 20? (a) 3 (b) 18 (c) 11 (d) 20
  15. 15.What is the median of 40, 34, 36, 13, 17, 27 and 1? (a) 27 (b) 34 (c) 24 (d) 13
  16. 16.What is the mean of 3, 20, 15, 3 and 9? (a) 11 (b) 12 (c) 9 (d) 10
  17. 17.What is the mean of 15, 16, 7, 15 and 7? (a) 12 (b) 10 (c) 15 (d) 13
  18. 18.What is the mean of 15, 4, 16, 8, 7 and 10? (a) 11 (b) 12 (c) 10 (d) 9
  19. 19.The mean of 8 numbers is 40. When the number 49 is added to them, what is the new mean? (a) 41 (b) 42 (c) 43 (d) 40
  20. 20.What is the mode of 18, 14, 18, 7, 14, 14 and 17? (a) 7 (b) 14 (c) 17 (d) 18
  21. 21.What is the mode of 2, 17, 2, 17, 1, 5 and 2? (a) 5 (b) 2 (c) 1 (d) 17
  22. 22.The mean of 4 numbers is 30. When the number 35 is added to them, what is the new mean? (a) 33 (b) 30 (c) 32 (d) 31
  23. 23.What is the mode of 8, 12, 8, 10, 3, 8 and 3? (a) 8 (b) 10 (c) 12 (d) 3
  24. 24.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 31
  25. 25.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 15 (b) 22 (c) 25 (d) 21
  26. 26.What is the mean of 3, 2, 7, 7 and 11? (a) 8 (b) 5 (c) 7 (d) 6
  27. 27.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 34 (b) 35 (c) 37 (d) 31
  28. 28.What is the median of 4, 34, 18, 28, 17, 9 and 6? (a) 18 (b) 28 (c) 9 (d) 17
  29. 29.What is the mean of 14, 6, 7 and 9? (a) 12 (b) 10 (c) 8 (d) 9
  30. 30.The mean of 4 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 29 (b) 39 (c) 35 (d) 36
  31. 31.What is the mean of 8, 5, 2, 2, 2 and 11? (a) 4 (b) 7 (c) 5 (d) 6
  32. 32.What is the median of 16, 4, 19, 2, 31, 9 and 21? (a) 2 (b) 16 (c) 19 (d) 9
  33. 33.What is the mean of 13, 11, 16, 4, 5 and 5? (a) 10 (b) 9 (c) 11 (d) 8
  34. 34.What is the mode of 18, 19, 3, 3, 10, 19 and 3? (a) 18 (b) 10 (c) 19 (d) 3
  35. 35.What is the mean of 8, 10, 13 and 5? (a) 10 (b) 8 (c) 12 (d) 9
  36. 36.The mean of 8 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 25 (b) 22 (c) 31 (d) 24
  37. 37.What is the mean of 17, 9, 5 and 17? (a) 16 (b) 12 (c) 13 (d) 11
  38. 38.The mean of 8 numbers is 10. When the number 46 is added to them, what is the new mean? (a) 14 (b) 15 (c) 10 (d) 28
  39. 39.What is the mean of 10, 5, 9 and 8? (a) 8 (b) 9 (c) 10 (d) 7
  40. 40.What is the median of 4, 33, 22, 16 and 24? (a) 24 (b) 16 (c) 23 (d) 22

Answer key

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

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