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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 83 · 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 20, 10, 12, 17, 4 and 21? (a) 14 (b) 13 (c) 15 (d) 12
  2. 2.The mean of 7 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 33 (b) 35 (c) 36 (d) 37
  3. 3.What is the median of 15, 16, 11, 10 and 24? (a) 14 (b) 11 (c) 15 (d) 16
  4. 4.What is the mean of 12, 18, 2, 20, 16 and 16? (a) 12 (b) 15 (c) 13 (d) 14
  5. 5.The mean of 4 numbers is 38. When the number 23 is added to them, what is the new mean? (a) 36 (b) 34 (c) 38 (d) 35
  6. 6.What is the mean of 14, 17, 19, 13, 18 and 3? (a) 12 (b) 15 (c) 14 (d) 13
  7. 7.What is the mean of 10, 4, 4 and 6? (a) 6 (b) 8 (c) 7 (d) 5
  8. 8.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 28 (b) 27 (c) 24 (d) 39
  9. 9.What is the mode of 6, 6, 17, 6, 18, 10 and 17? (a) 6 (b) 17 (c) 18 (d) 10
  10. 10.What is the mean of 14, 16, 5, 18 and 17? (a) 14 (b) 13 (c) 15 (d) 16
  11. 11.What is the mode of 7, 11, 9, 4, 4, 7 and 4? (a) 9 (b) 7 (c) 11 (d) 4
  12. 12.What is the mode of 6, 15, 6, 15, 6, 18 and 5? (a) 5 (b) 15 (c) 6 (d) 18
  13. 13.What is the median of 29, 11, 35, 16 and 6? (a) 29 (b) 16 (c) 11 (d) 35
  14. 14.What is the mode of 10, 16, 5, 10, 1, 10 and 5? (a) 16 (b) 10 (c) 5 (d) 1
  15. 15.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 20
  16. 16.What is the mode of 1, 1, 2, 1, 12, 11 and 2? (a) 1 (b) 2 (c) 12 (d) 11
  17. 17.What is the mean of 6, 16, 3, 18 and 7? (a) 11 (b) 9 (c) 10 (d) 12
  18. 18.The mean of 7 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 22 (b) 14 (c) 13 (d) 10
  19. 19.What is the median of 39, 5, 13, 4 and 25? (a) 14 (b) 25 (c) 13 (d) 5
  20. 20.What is the median of 21, 14, 7, 40, 12, 20 and 6? (a) 14 (b) 12 (c) 20 (d) 40
  21. 21.The mean of 5 numbers is 28. When the number 22 is added to them, what is the new mean? (a) 25 (b) 26 (c) 27 (d) 28
  22. 22.What is the mode of 16, 16, 1, 15, 15, 16 and 2? (a) 2 (b) 15 (c) 1 (d) 16
  23. 23.What is the mean of 8, 3, 7, 5, 9 and 10? (a) 9 (b) 8 (c) 6 (d) 7
  24. 24.What is the mean of 10, 6, 16, 10 and 18? (a) 12 (b) 13 (c) 10 (d) 15
  25. 25.What is the mean of 20, 4, 14 and 18? (a) 16 (b) 14 (c) 15 (d) 13
  26. 26.What is the mean of 4, 10, 7 and 11? (a) 10 (b) 8 (c) 7 (d) 9
  27. 27.What is the mode of 1, 4, 4, 10, 1, 4 and 11? (a) 11 (b) 10 (c) 4 (d) 1
  28. 28.What is the median of 13, 7, 15, 8 and 4? (a) 15 (b) 13 (c) 8 (d) 7
  29. 29.What is the mean of 13, 3, 2 and 18? (a) 8 (b) 9 (c) 12 (d) 10
  30. 30.What is the median of 32, 7, 5, 25 and 8? (a) 7 (b) 5 (c) 25 (d) 8
  31. 31.The mean of 5 numbers is 34. When the number 28 is added to them, what is the new mean? (a) 31 (b) 34 (c) 32 (d) 33
  32. 32.What is the median of 8, 4, 9, 7, 13, 40 and 6? (a) 8 (b) 7 (c) 10 (d) 9
  33. 33.What is the mean of 12, 10, 9, 8, 10 and 5? (a) 11 (b) 9 (c) 10 (d) 8
  34. 34.What is the mean of 4, 17, 16, 19 and 14? (a) 16 (b) 14 (c) 13 (d) 15
  35. 35.What is the median of 12, 35, 39, 31 and 24? (a) 24 (b) 31 (c) 39 (d) 35
  36. 36.What is the mode of 17, 7, 11, 17, 17, 13 and 7? (a) 7 (b) 13 (c) 17 (d) 11
  37. 37.What is the mean of 11, 12, 6 and 7? (a) 10 (b) 8 (c) 12 (d) 9
  38. 38.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 17 (b) 21 (c) 19 (d) 20
  39. 39.The mean of 7 numbers is 15. When the number 47 is added to them, what is the new mean? (a) 19 (b) 20 (c) 31 (d) 15
  40. 40.What is the mean of 17, 19, 3, 18, 6 and 3? (a) 10 (b) 12 (c) 11 (d) 13

Answer key

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

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