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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 254 · 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 40. When the number 58 is added to them, what is the new mean? (a) 49 (b) 40 (c) 43 (d) 42
  2. 2.What is the mode of 6, 6, 7, 15, 15, 1 and 15? (a) 6 (b) 15 (c) 1 (d) 7
  3. 3.The mean of 4 numbers is 22. When the number 32 is added to them, what is the new mean? (a) 24 (b) 25 (c) 27 (d) 22
  4. 4.What is the mode of 16, 4, 19, 4, 11, 16 and 16? (a) 4 (b) 11 (c) 19 (d) 16
  5. 5.What is the median of 31, 6, 24, 22 and 1? (a) 24 (b) 22 (c) 6 (d) 23
  6. 6.What is the mean of 3, 2, 17, 5 and 8? (a) 7 (b) 8 (c) 9 (d) 6
  7. 7.What is the mean of 6, 2, 8 and 16? (a) 9 (b) 10 (c) 8 (d) 7
  8. 8.What is the mean of 17, 2, 2, 18 and 21? (a) 10 (b) 15 (c) 13 (d) 12
  9. 9.The mean of 5 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 44 (b) 43 (c) 40 (d) 49
  10. 10.The mean of 8 numbers is 36. When the number 45 is added to them, what is the new mean? (a) 37 (b) 39 (c) 38 (d) 36
  11. 11.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 20
  12. 12.What is the mean of 20, 11, 9, 10, 19 and 21? (a) 16 (b) 14 (c) 18 (d) 15
  13. 13.What is the mode of 18, 10, 10, 14, 8, 18 and 18? (a) 14 (b) 8 (c) 10 (d) 18
  14. 14.What is the mode of 6, 6, 6, 12, 16, 16 and 11? (a) 11 (b) 12 (c) 16 (d) 6
  15. 15.What is the median of 3, 18, 9, 13, 30, 1 and 15? (a) 9 (b) 13 (c) 14 (d) 15
  16. 16.The mean of 8 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 36 (b) 27 (c) 35 (d) 34
  17. 17.What is the mean of 18, 18, 9, 10 and 20? (a) 14 (b) 16 (c) 15 (d) 17
  18. 18.What is the mode of 8, 17, 8, 1, 17, 5 and 17? (a) 17 (b) 8 (c) 1 (d) 5
  19. 19.What is the mode of 14, 5, 18, 18, 19, 5 and 5? (a) 18 (b) 14 (c) 5 (d) 19
  20. 20.What is the median of 36, 20, 22, 24, 37, 31 and 34? (a) 31 (b) 32 (c) 24 (d) 34
  21. 21.What is the median of 40, 9, 6, 10 and 15? (a) 10 (b) 6 (c) 15 (d) 16
  22. 22.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 37 (b) 30 (c) 36 (d) 39
  23. 23.What is the median of 1, 37, 34, 23 and 12? (a) 12 (b) 24 (c) 34 (d) 23
  24. 24.What is the median of 2, 22, 13, 26 and 40? (a) 22 (b) 13 (c) 26 (d) 23
  25. 25.What is the mean of 13, 3, 18, 11 and 20? (a) 15 (b) 12 (c) 14 (d) 13
  26. 26.The mean of 5 numbers is 40. When the number 46 is added to them, what is the new mean? (a) 42 (b) 43 (c) 41 (d) 40
  27. 27.What is the median of 15, 8, 16, 33 and 19? (a) 19 (b) 17 (c) 15 (d) 16
  28. 28.What is the mode of 6, 11, 6, 11, 20, 11 and 19? (a) 6 (b) 11 (c) 19 (d) 20
  29. 29.What is the mean of 18, 13, 8, 13 and 8? (a) 10 (b) 13 (c) 15 (d) 12
  30. 30.What is the mean of 3, 8, 6, 5, 3 and 11? (a) 5 (b) 6 (c) 8 (d) 7
  31. 31.What is the mean of 15, 4, 12, 20, 12 and 3? (a) 12 (b) 11 (c) 13 (d) 10
  32. 32.The mean of 7 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 34
  33. 33.What is the mean of 14, 4, 17 and 9? (a) 12 (b) 13 (c) 11 (d) 10
  34. 34.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 22 (b) 29 (c) 32 (d) 28
  35. 35.The mean of 4 numbers is 25. When the number 35 is added to them, what is the new mean? (a) 25 (b) 28 (c) 27 (d) 30
  36. 36.The mean of 3 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 23 (b) 22 (c) 19 (d) 25
  37. 37.The mean of 7 numbers is 28. When the number 20 is added to them, what is the new mean? (a) 27 (b) 24 (c) 28 (d) 26
  38. 38.What is the mode of 10, 3, 5, 2, 3, 5 and 3? (a) 5 (b) 10 (c) 2 (d) 3
  39. 39.What is the mean of 16, 4, 9 and 15? (a) 10 (b) 11 (c) 13 (d) 12
  40. 40.What is the mean of 7, 9, 20, 2 and 7? (a) 9 (b) 8 (c) 10 (d) 11

Answer key

  1. 42
  2. 15
  3. 24
  4. 16
  5. 22
  6. 7
  7. 8
  8. 12
  9. 43
  10. 37
  11. 19
  12. 15
  13. 18
  14. 6
  15. 13
  16. 34
  17. 15
  18. 17
  19. 5
  20. 31
  21. 10
  22. 36
  23. 23
  24. 22
  25. 13
  26. 41
  27. 16
  28. 11
  29. 12
  30. 6
  31. 11
  32. 35
  33. 11
  34. 28
  35. 27
  36. 22
  37. 27
  38. 3
  39. 11
  40. 9

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