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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 259 · 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, 22, 33, 1, 38, 16 and 37? (a) 22 (b) 1 (c) 33 (d) 16
  2. 2.What is the mode of 11, 11, 10, 11, 16, 2 and 10? (a) 10 (b) 11 (c) 2 (d) 16
  3. 3.What is the mode of 14, 4, 18, 14, 6, 14 and 18? (a) 14 (b) 18 (c) 4 (d) 6
  4. 4.What is the median of 21, 35, 11, 37 and 16? (a) 21 (b) 24 (c) 11 (d) 35
  5. 5.What is the median of 2, 10, 8, 27 and 28? (a) 27 (b) 15 (c) 10 (d) 8
  6. 6.What is the mean of 2, 3, 9, 8 and 18? (a) 7 (b) 10 (c) 8 (d) 9
  7. 7.The mean of 9 numbers is 17. When the number 57 is added to them, what is the new mean? (a) 22 (b) 37 (c) 21 (d) 17
  8. 8.What is the mean of 6, 13, 13, 8 and 10? (a) 12 (b) 11 (c) 10 (d) 9
  9. 9.The mean of 7 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 39 (b) 40 (c) 37 (d) 45
  10. 10.What is the median of 37, 1, 16, 23, 8, 21 and 6? (a) 21 (b) 23 (c) 8 (d) 16
  11. 11.What is the mean of 15, 6, 14 and 5? (a) 9 (b) 11 (c) 8 (d) 10
  12. 12.What is the mode of 12, 10, 11, 20, 20, 20 and 12? (a) 12 (b) 10 (c) 20 (d) 11
  13. 13.What is the mode of 11, 15, 11, 10, 15, 15 and 3? (a) 11 (b) 15 (c) 3 (d) 10
  14. 14.The mean of 6 numbers is 21. When the number 28 is added to them, what is the new mean? (a) 22 (b) 23 (c) 24 (d) 21
  15. 15.What is the median of 19, 14, 38, 27 and 1? (a) 38 (b) 27 (c) 14 (d) 19
  16. 16.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 32 (b) 29 (c) 28 (d) 22
  17. 17.What is the mode of 1, 2, 7, 2, 7, 2 and 12? (a) 1 (b) 7 (c) 2 (d) 12
  18. 18.What is the mean of 9, 5, 8, 7 and 11? (a) 10 (b) 7 (c) 8 (d) 9
  19. 19.What is the mode of 13, 19, 6, 19, 13, 9 and 19? (a) 13 (b) 9 (c) 6 (d) 19
  20. 20.What is the mean of 6, 4, 19, 13 and 8? (a) 12 (b) 11 (c) 9 (d) 10
  21. 21.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 7 (b) 12 (c) 10 (d) 11
  22. 22.What is the mean of 6, 14, 12 and 4? (a) 9 (b) 8 (c) 10 (d) 12
  23. 23.What is the mean of 17, 4, 14 and 17? (a) 13 (b) 15 (c) 12 (d) 14
  24. 24.What is the mean of 8, 10, 18, 3, 6 and 9? (a) 9 (b) 8 (c) 11 (d) 10
  25. 25.The mean of 8 numbers is 31. When the number 4 is added to them, what is the new mean? (a) 31 (b) 28 (c) 27 (d) 29
  26. 26.What is the median of 16, 25, 27, 20 and 22? (a) 25 (b) 22 (c) 20 (d) 27
  27. 27.What is the mean of 2, 3, 19, 14 and 7? (a) 9 (b) 8 (c) 11 (d) 10
  28. 28.What is the median of 19, 14, 31, 32, 26, 12 and 27? (a) 23 (b) 27 (c) 32 (d) 26
  29. 29.What is the mode of 17, 8, 19, 8, 8, 12 and 12? (a) 12 (b) 19 (c) 17 (d) 8
  30. 30.What is the mode of 10, 11, 3, 8, 10, 11 and 11? (a) 11 (b) 10 (c) 3 (d) 8
  31. 31.What is the mode of 5, 9, 20, 9, 9, 5 and 16? (a) 16 (b) 5 (c) 9 (d) 20
  32. 32.What is the mode of 5, 4, 4, 4, 10, 10 and 20? (a) 4 (b) 10 (c) 20 (d) 5
  33. 33.What is the mean of 13, 15, 18, 6 and 13? (a) 12 (b) 15 (c) 14 (d) 13
  34. 34.What is the mode of 5, 1, 19, 7, 1, 5 and 5? (a) 5 (b) 7 (c) 1 (d) 19
  35. 35.What is the mode of 15, 1, 1, 6, 1, 9 and 9? (a) 9 (b) 15 (c) 6 (d) 1
  36. 36.What is the mean of 7, 4, 18 and 11? (a) 9 (b) 8 (c) 11 (d) 10
  37. 37.What is the median of 18, 2, 4, 39, 26, 20 and 16? (a) 20 (b) 18 (c) 39 (d) 16
  38. 38.The mean of 6 numbers is 22. When the number 15 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 20
  39. 39.What is the mode of 3, 9, 3, 1, 1, 1 and 20? (a) 20 (b) 3 (c) 1 (d) 9
  40. 40.What is the median of 35, 8, 13, 12 and 2? (a) 8 (b) 14 (c) 12 (d) 13

Answer key

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

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