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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 615 · 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 26, 31, 5, 7 and 28? (a) 5 (b) 7 (c) 26 (d) 28
  2. 2.The mean of 6 numbers is 36. When the number 29 is added to them, what is the new mean? (a) 34 (b) 36 (c) 37 (d) 35
  3. 3.What is the mode of 19, 5, 14, 5, 11, 14 and 14? (a) 5 (b) 11 (c) 14 (d) 19
  4. 4.What is the mean of 2, 11, 10, 15 and 12? (a) 12 (b) 10 (c) 9 (d) 11
  5. 5.The mean of 6 numbers is 38. When the number 31 is added to them, what is the new mean? (a) 36 (b) 38 (c) 39 (d) 37
  6. 6.What is the median of 33, 26, 5, 18 and 20? (a) 5 (b) 20 (c) 26 (d) 18
  7. 7.What is the mode of 20, 10, 20, 20, 5, 11 and 5? (a) 5 (b) 10 (c) 11 (d) 20
  8. 8.The mean of 9 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 36 (b) 35 (c) 43 (d) 33
  9. 9.What is the mode of 5, 3, 3, 19, 7, 7 and 3? (a) 3 (b) 19 (c) 5 (d) 7
  10. 10.What is the mean of 12, 9, 2, 5, 12 and 8? (a) 9 (b) 7 (c) 10 (d) 8
  11. 11.What is the mode of 20, 2, 15, 18, 2, 2 and 15? (a) 18 (b) 2 (c) 20 (d) 15
  12. 12.What is the median of 25, 16, 3, 28 and 24? (a) 24 (b) 3 (c) 16 (d) 25
  13. 13.What is the mean of 10, 20, 7, 19, 14 and 8? (a) 13 (b) 14 (c) 12 (d) 15
  14. 14.The mean of 8 numbers is 16. When the number 34 is added to them, what is the new mean? (a) 18 (b) 25 (c) 16 (d) 19
  15. 15.The mean of 4 numbers is 21. When the number 36 is added to them, what is the new mean? (a) 24 (b) 21 (c) 23 (d) 25
  16. 16.The mean of 3 numbers is 37. When the number 21 is added to them, what is the new mean? (a) 29 (b) 34 (c) 33 (d) 37
  17. 17.What is the median of 9, 27, 40, 14 and 38? (a) 14 (b) 27 (c) 40 (d) 38
  18. 18.What is the mean of 6, 20, 3, 5 and 6? (a) 9 (b) 10 (c) 8 (d) 7
  19. 19.What is the mean of 3, 13, 6 and 18? (a) 11 (b) 8 (c) 10 (d) 9
  20. 20.What is the mode of 3, 4, 4, 15, 4, 18 and 15? (a) 18 (b) 3 (c) 4 (d) 15
  21. 21.What is the mode of 17, 4, 18, 19, 19, 19 and 4? (a) 19 (b) 18 (c) 4 (d) 17
  22. 22.What is the mean of 14, 2, 13, 18 and 3? (a) 11 (b) 9 (c) 12 (d) 10
  23. 23.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 12 (b) 14 (c) 16 (d) 13
  24. 24.What is the median of 13, 6, 9, 35 and 16? (a) 14 (b) 13 (c) 16 (d) 9
  25. 25.What is the mean of 6, 6, 5, 17 and 11? (a) 11 (b) 10 (c) 9 (d) 8
  26. 26.The mean of 6 numbers is 24. When the number 38 is added to them, what is the new mean? (a) 27 (b) 26 (c) 31 (d) 24
  27. 27.What is the mean of 6, 20, 10 and 12? (a) 12 (b) 16 (c) 13 (d) 11
  28. 28.The mean of 4 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 35
  29. 29.What is the median of 18, 35, 14, 3 and 24? (a) 19 (b) 18 (c) 24 (d) 14
  30. 30.What is the mean of 3, 7, 13, 3 and 19? (a) 11 (b) 8 (c) 10 (d) 9
  31. 31.What is the mode of 1, 16, 18, 18, 1, 1 and 3? (a) 1 (b) 18 (c) 3 (d) 16
  32. 32.What is the mean of 12, 13, 15 and 16? (a) 16 (b) 13 (c) 14 (d) 15
  33. 33.What is the median of 19, 10, 15, 17, 16, 28 and 14? (a) 18 (b) 15 (c) 16 (d) 17
  34. 34.What is the median of 31, 40, 34, 18 and 8? (a) 18 (b) 31 (c) 34 (d) 32
  35. 35.What is the mean of 10, 10, 14, 16, 12 and 16? (a) 12 (b) 14 (c) 15 (d) 13
  36. 36.What is the mode of 6, 6, 6, 4, 2, 8 and 4? (a) 2 (b) 4 (c) 8 (d) 6
  37. 37.What is the mean of 10, 7, 20, 2, 8 and 13? (a) 11 (b) 9 (c) 12 (d) 10
  38. 38.The mean of 4 numbers is 35. When the number 20 is added to them, what is the new mean? (a) 33 (b) 35 (c) 31 (d) 32
  39. 39.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 18 (b) 17 (c) 13 (d) 23
  40. 40.What is the median of 6, 17, 14, 33 and 12? (a) 15 (b) 12 (c) 17 (d) 14

Answer key

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

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