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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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