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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 166 · 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.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 19 (b) 21 (c) 17 (d) 20
  2. 2.What is the mode of 6, 19, 6, 10, 18, 6 and 19? (a) 19 (b) 6 (c) 18 (d) 10
  3. 3.What is the mean of 17, 2, 7, 20 and 4? (a) 10 (b) 9 (c) 12 (d) 11
  4. 4.What is the median of 5, 18, 34, 17, 14, 8 and 23? (a) 16 (b) 18 (c) 14 (d) 17
  5. 5.What is the mode of 11, 2, 2, 11, 13, 12 and 11? (a) 12 (b) 13 (c) 11 (d) 2
  6. 6.What is the median of 37, 32, 30, 3 and 31? (a) 32 (b) 30 (c) 33 (d) 31
  7. 7.What is the median of 8, 20, 1, 2, 3, 9 and 28? (a) 8 (b) 2 (c) 3 (d) 9
  8. 8.What is the mode of 18, 8, 18, 7, 7, 2 and 18? (a) 2 (b) 8 (c) 18 (d) 7
  9. 9.What is the mode of 18, 15, 14, 14, 18, 16 and 14? (a) 16 (b) 15 (c) 14 (d) 18
  10. 10.The mean of 7 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 35 (b) 30 (c) 29 (d) 27
  11. 11.What is the median of 39, 40, 7, 38 and 9? (a) 38 (b) 9 (c) 39 (d) 7
  12. 12.What is the mean of 13, 8, 5, 11, 5 and 6? (a) 8 (b) 10 (c) 7 (d) 9
  13. 13.What is the mean of 2, 6, 15 and 17? (a) 10 (b) 11 (c) 9 (d) 8
  14. 14.What is the mean of 8, 9, 5 and 6? (a) 7 (b) 6 (c) 8 (d) 9
  15. 15.What is the mode of 16, 17, 17, 17, 16, 3 and 5? (a) 3 (b) 16 (c) 5 (d) 17
  16. 16.What is the mode of 10, 5, 5, 10, 18, 10 and 16? (a) 16 (b) 5 (c) 10 (d) 18
  17. 17.What is the mode of 15, 16, 5, 16, 20, 15 and 15? (a) 16 (b) 20 (c) 15 (d) 5
  18. 18.What is the median of 37, 30, 19, 2 and 4? (a) 20 (b) 19 (c) 30 (d) 4
  19. 19.What is the median of 29, 36, 12, 1 and 31? (a) 30 (b) 29 (c) 12 (d) 31
  20. 20.What is the mode of 5, 8, 9, 9, 8, 6 and 9? (a) 5 (b) 9 (c) 6 (d) 8
  21. 21.What is the median of 30, 4, 33, 8 and 12? (a) 12 (b) 30 (c) 8 (d) 33
  22. 22.What is the median of 6, 8, 34, 9, 22, 28 and 27? (a) 27 (b) 9 (c) 23 (d) 22
  23. 23.What is the mode of 12, 12, 11, 17, 7, 7 and 7? (a) 11 (b) 17 (c) 12 (d) 7
  24. 24.What is the mean of 18, 4, 5, 2 and 11? (a) 9 (b) 10 (c) 8 (d) 7
  25. 25.What is the median of 34, 39, 20, 27, 33, 4 and 3? (a) 28 (b) 33 (c) 27 (d) 20
  26. 26.The mean of 3 numbers is 35. When the number 39 is added to them, what is the new mean? (a) 38 (b) 35 (c) 36 (d) 37
  27. 27.What is the mode of 5, 5, 9, 5, 11, 2 and 11? (a) 11 (b) 9 (c) 5 (d) 2
  28. 28.What is the mean of 4, 14, 2, 6, 12 and 10? (a) 9 (b) 10 (c) 7 (d) 8
  29. 29.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 25 (b) 21 (c) 24 (d) 23
  30. 30.What is the mean of 8, 20, 8, 6, 11 and 19? (a) 14 (b) 13 (c) 11 (d) 12
  31. 31.What is the median of 9, 11, 26, 18, 6, 23 and 7? (a) 12 (b) 11 (c) 18 (d) 9
  32. 32.What is the median of 1, 9, 13, 26, 4, 8 and 15? (a) 13 (b) 26 (c) 8 (d) 9
  33. 33.What is the mode of 15, 15, 5, 20, 5, 7 and 5? (a) 7 (b) 5 (c) 15 (d) 20
  34. 34.What is the median of 12, 29, 33, 10, 16, 31 and 19? (a) 29 (b) 10 (c) 19 (d) 16
  35. 35.The mean of 6 numbers is 22. When the number 43 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 22
  36. 36.What is the mode of 14, 18, 11, 11, 2, 11 and 18? (a) 18 (b) 2 (c) 11 (d) 14
  37. 37.What is the mode of 11, 14, 11, 15, 17, 17 and 17? (a) 17 (b) 14 (c) 11 (d) 15
  38. 38.The mean of 5 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 16 (b) 17 (c) 10 (d) 19
  39. 39.What is the median of 16, 33, 22, 8, 2, 27 and 11? (a) 17 (b) 22 (c) 8 (d) 16
  40. 40.What is the mode of 4, 17, 1, 1, 4, 2 and 4? (a) 1 (b) 4 (c) 2 (d) 17

Answer key

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

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