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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 517 · 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 4, 11, 2, 38, 21, 36 and 25? (a) 11 (b) 38 (c) 21 (d) 25
  2. 2.The mean of 5 numbers is 32. When the number 14 is added to them, what is the new mean? (a) 32 (b) 29 (c) 30 (d) 23
  3. 3.What is the mode of 9, 1, 5, 5, 14, 9 and 5? (a) 14 (b) 9 (c) 5 (d) 1
  4. 4.What is the mode of 7, 20, 10, 5, 5, 5 and 10? (a) 5 (b) 7 (c) 20 (d) 10
  5. 5.The mean of 7 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 29 (b) 30 (c) 28 (d) 22
  6. 6.The mean of 8 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 14 (b) 23 (c) 22 (d) 21
  7. 7.What is the mean of 19, 10, 11, 15, 3 and 14? (a) 12 (b) 14 (c) 11 (d) 13
  8. 8.The mean of 9 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 45 (b) 37 (c) 35 (d) 38
  9. 9.What is the mean of 10, 9, 18, 16, 8 and 11? (a) 14 (b) 12 (c) 11 (d) 13
  10. 10.What is the mean of 16, 3, 19, 15 and 12? (a) 14 (b) 15 (c) 12 (d) 13
  11. 11.What is the mean of 14, 17, 17, 15 and 12? (a) 14 (b) 15 (c) 17 (d) 16
  12. 12.What is the median of 37, 40, 33, 27 and 23? (a) 32 (b) 37 (c) 27 (d) 33
  13. 13.What is the mean of 3, 17, 18, 5 and 22? (a) 14 (b) 15 (c) 13 (d) 12
  14. 14.What is the median of 7, 12, 14, 18, 33, 4 and 11? (a) 11 (b) 12 (c) 18 (d) 14
  15. 15.What is the mode of 4, 16, 16, 7, 7, 16 and 3? (a) 3 (b) 7 (c) 16 (d) 4
  16. 16.The mean of 3 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 37 (b) 38 (c) 39 (d) 35
  17. 17.What is the mode of 16, 16, 19, 17, 19, 8 and 16? (a) 8 (b) 16 (c) 19 (d) 17
  18. 18.What is the mean of 7, 5, 16, 7 and 5? (a) 10 (b) 8 (c) 7 (d) 9
  19. 19.The mean of 4 numbers is 27. When the number 32 is added to them, what is the new mean? (a) 27 (b) 28 (c) 30 (d) 29
  20. 20.The mean of 6 numbers is 33. When the number 19 is added to them, what is the new mean? (a) 26 (b) 32 (c) 33 (d) 31
  21. 21.The mean of 6 numbers is 25. When the number 32 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 26
  22. 22.What is the mean of 8, 2, 15 and 19? (a) 11 (b) 13 (c) 10 (d) 12
  23. 23.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 39 (b) 36 (c) 37 (d) 35
  24. 24.What is the mean of 12, 8, 12 and 16? (a) 16 (b) 11 (c) 13 (d) 12
  25. 25.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 13 (b) 21 (c) 25 (d) 22
  26. 26.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 14 (b) 16 (c) 18 (d) 17
  27. 27.The mean of 5 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 38 (b) 41 (c) 42 (d) 47
  28. 28.What is the mean of 4, 19, 17, 7 and 8? (a) 13 (b) 12 (c) 10 (d) 11
  29. 29.What is the median of 8, 21, 15, 22, 31, 24 and 33? (a) 24 (b) 22 (c) 23 (d) 21
  30. 30.What is the mode of 20, 3, 20, 1, 3, 20 and 11? (a) 11 (b) 20 (c) 1 (d) 3
  31. 31.What is the mode of 3, 6, 6, 3, 6, 19 and 7? (a) 6 (b) 7 (c) 3 (d) 19
  32. 32.What is the mode of 16, 7, 16, 16, 13, 13 and 18? (a) 16 (b) 7 (c) 18 (d) 13
  33. 33.What is the mean of 10, 14, 13, 6, 7 and 10? (a) 10 (b) 11 (c) 9 (d) 12
  34. 34.What is the mode of 5, 4, 5, 3, 3, 8 and 3? (a) 4 (b) 5 (c) 3 (d) 8
  35. 35.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 33 (b) 32 (c) 36 (d) 34
  36. 36.What is the mean of 2, 2, 5, 2 and 19? (a) 6 (b) 7 (c) 8 (d) 5
  37. 37.What is the mean of 17, 19, 8, 10 and 11? (a) 15 (b) 12 (c) 13 (d) 14
  38. 38.The mean of 8 numbers is 26. When the number 62 is added to them, what is the new mean? (a) 30 (b) 44 (c) 26 (d) 31
  39. 39.What is the mode of 2, 4, 4, 4, 17, 2 and 16? (a) 17 (b) 4 (c) 2 (d) 16
  40. 40.What is the median of 16, 28, 14, 25, 34, 32 and 21? (a) 26 (b) 25 (c) 21 (d) 28

Answer key

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

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