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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 233 · 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 mean of 14, 2, 16, 3 and 20? (a) 10 (b) 11 (c) 13 (d) 12
  2. 2.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 18 (b) 15 (c) 16 (d) 17
  3. 3.What is the mode of 6, 5, 1, 5, 1, 1 and 7? (a) 6 (b) 7 (c) 1 (d) 5
  4. 4.The mean of 6 numbers is 29. When the number 22 is added to them, what is the new mean? (a) 27 (b) 29 (c) 30 (d) 28
  5. 5.What is the mode of 20, 10, 3, 10, 10, 17 and 17? (a) 17 (b) 3 (c) 20 (d) 10
  6. 6.What is the mean of 13, 20, 3, 16, 20 and 18? (a) 14 (b) 16 (c) 15 (d) 18
  7. 7.The mean of 8 numbers is 24. When the number 51 is added to them, what is the new mean? (a) 24 (b) 28 (c) 26 (d) 27
  8. 8.What is the mean of 5, 4, 16, 6, 10 and 7? (a) 7 (b) 10 (c) 9 (d) 8
  9. 9.What is the mean of 3, 17, 3, 13, 5 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  10. 10.What is the mean of 20, 18, 4, 3 and 20? (a) 14 (b) 15 (c) 13 (d) 12
  11. 11.What is the median of 15, 25, 34, 30, 6, 26 and 39? (a) 30 (b) 27 (c) 26 (d) 25
  12. 12.What is the mean of 8, 15, 7, 11 and 19? (a) 10 (b) 13 (c) 12 (d) 15
  13. 13.What is the mean of 2, 11, 2 and 17? (a) 8 (b) 9 (c) 10 (d) 7
  14. 14.What is the mean of 2, 13, 20 and 9? (a) 12 (b) 13 (c) 11 (d) 10
  15. 15.What is the mode of 13, 10, 16, 6, 6, 16 and 16? (a) 13 (b) 16 (c) 10 (d) 6
  16. 16.The mean of 3 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 23 (b) 17 (c) 21 (d) 20
  17. 17.What is the median of 13, 1, 29, 37, 9, 16 and 33? (a) 16 (b) 29 (c) 37 (d) 13
  18. 18.What is the mean of 17, 10, 15 and 6? (a) 16 (b) 12 (c) 13 (d) 11
  19. 19.The mean of 6 numbers is 11. When the number 25 is added to them, what is the new mean? (a) 18 (b) 14 (c) 11 (d) 13
  20. 20.What is the mode of 7, 7, 2, 7, 17, 2 and 10? (a) 2 (b) 7 (c) 10 (d) 17
  21. 21.What is the mode of 1, 7, 10, 7, 1, 6 and 7? (a) 6 (b) 7 (c) 1 (d) 10
  22. 22.The mean of 3 numbers is 35. When the number 23 is added to them, what is the new mean? (a) 33 (b) 32 (c) 29 (d) 35
  23. 23.What is the median of 30, 2, 28, 15, 10, 39 and 23? (a) 23 (b) 21 (c) 28 (d) 15
  24. 24.What is the mode of 12, 1, 6, 2, 6, 12 and 12? (a) 6 (b) 1 (c) 2 (d) 12
  25. 25.What is the mode of 14, 5, 18, 14, 19, 14 and 5? (a) 19 (b) 14 (c) 5 (d) 18
  26. 26.What is the mean of 5, 13, 11, 11, 13 and 7? (a) 9 (b) 10 (c) 12 (d) 11
  27. 27.What is the median of 6, 18, 24, 35 and 17? (a) 17 (b) 24 (c) 18 (d) 20
  28. 28.What is the mean of 5, 20, 6 and 21? (a) 15 (b) 14 (c) 13 (d) 12
  29. 29.What is the mean of 6, 8, 13, 15, 17 and 7? (a) 10 (b) 13 (c) 12 (d) 11
  30. 30.What is the median of 37, 11, 29, 36 and 16? (a) 16 (b) 36 (c) 30 (d) 29
  31. 31.The mean of 3 numbers is 18. When the number 22 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 20
  32. 32.What is the median of 25, 28, 11, 21, 27, 13 and 4? (a) 13 (b) 21 (c) 25 (d) 22
  33. 33.The mean of 8 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 22
  34. 34.What is the mean of 10, 10, 10, 9, 17 and 16? (a) 14 (b) 11 (c) 13 (d) 12
  35. 35.What is the mode of 20, 6, 19, 6, 6, 4 and 20? (a) 20 (b) 19 (c) 4 (d) 6
  36. 36.What is the mean of 8, 10, 11 and 3? (a) 7 (b) 9 (c) 10 (d) 8
  37. 37.The mean of 3 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 32 (b) 31 (c) 29 (d) 33
  38. 38.What is the mode of 4, 15, 13, 15, 13, 6 and 13? (a) 15 (b) 13 (c) 4 (d) 6
  39. 39.What is the median of 20, 39, 24, 35 and 16? (a) 24 (b) 35 (c) 25 (d) 20
  40. 40.The mean of 8 numbers is 39. When the number 75 is added to them, what is the new mean? (a) 44 (b) 43 (c) 57 (d) 39

Answer key

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

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