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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 70 · 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 3 numbers is 25. When the number 29 is added to them, what is the new mean? (a) 25 (b) 27 (c) 26 (d) 28
  2. 2.The mean of 6 numbers is 32. When the number 11 is added to them, what is the new mean? (a) 30 (b) 32 (c) 29 (d) 28
  3. 3.What is the mode of 19, 14, 14, 19, 15, 20 and 19? (a) 19 (b) 14 (c) 20 (d) 15
  4. 4.What is the median of 15, 23, 34, 6, 21, 32 and 38? (a) 23 (b) 32 (c) 6 (d) 21
  5. 5.What is the median of 24, 5, 2, 39 and 40? (a) 22 (b) 39 (c) 24 (d) 2
  6. 6.What is the mean of 4, 9, 9, 5 and 8? (a) 6 (b) 7 (c) 9 (d) 8
  7. 7.The mean of 9 numbers is 10. When the number 30 is added to them, what is the new mean? (a) 13 (b) 12 (c) 20 (d) 10
  8. 8.What is the median of 11, 14, 30, 6 and 20? (a) 14 (b) 30 (c) 11 (d) 20
  9. 9.What is the mean of 16, 3, 11 and 22? (a) 14 (b) 12 (c) 15 (d) 13
  10. 10.What is the mean of 11, 2, 15, 7, 20 and 11? (a) 10 (b) 13 (c) 12 (d) 11
  11. 11.What is the mean of 13, 5, 5 and 5? (a) 8 (b) 6 (c) 9 (d) 7
  12. 12.What is the mean of 7, 5, 13 and 11? (a) 9 (b) 8 (c) 10 (d) 12
  13. 13.What is the mean of 3, 11, 13 and 17? (a) 10 (b) 12 (c) 11 (d) 13
  14. 14.What is the mode of 10, 5, 10, 2, 10, 17 and 17? (a) 5 (b) 10 (c) 2 (d) 17
  15. 15.What is the median of 35, 5, 2, 10 and 11? (a) 11 (b) 10 (c) 2 (d) 5
  16. 16.The mean of 4 numbers is 39. When the number 24 is added to them, what is the new mean? (a) 35 (b) 37 (c) 39 (d) 36
  17. 17.What is the mean of 11, 14, 2, 16 and 22? (a) 13 (b) 14 (c) 15 (d) 12
  18. 18.What is the median of 12, 17, 33, 30, 27, 8 and 24? (a) 24 (b) 30 (c) 17 (d) 27
  19. 19.What is the mean of 5, 14, 5, 6, 18 and 12? (a) 9 (b) 10 (c) 11 (d) 12
  20. 20.What is the mean of 7, 15, 8 and 10? (a) 9 (b) 10 (c) 8 (d) 11
  21. 21.What is the median of 30, 17, 5, 22, 19, 6 and 37? (a) 22 (b) 19 (c) 17 (d) 20
  22. 22.What is the median of 6, 8, 4, 18, 29, 38 and 26? (a) 8 (b) 18 (c) 26 (d) 19
  23. 23.What is the median of 30, 10, 15, 31 and 32? (a) 29 (b) 31 (c) 15 (d) 30
  24. 24.The mean of 5 numbers is 11. When the number 17 is added to them, what is the new mean? (a) 14 (b) 12 (c) 11 (d) 13
  25. 25.What is the median of 12, 14, 22, 40, 1, 33 and 3? (a) 22 (b) 40 (c) 14 (d) 12
  26. 26.The mean of 9 numbers is 18. When the number 58 is added to them, what is the new mean? (a) 18 (b) 23 (c) 38 (d) 22
  27. 27.What is the mean of 10, 13, 2 and 19? (a) 10 (b) 11 (c) 13 (d) 12
  28. 28.What is the mode of 8, 4, 4, 4, 10, 8 and 1? (a) 10 (b) 4 (c) 8 (d) 1
  29. 29.What is the mode of 3, 7, 3, 3, 7, 5 and 11? (a) 3 (b) 7 (c) 5 (d) 11
  30. 30.What is the mean of 13, 16, 5, 5, 3 and 12? (a) 9 (b) 8 (c) 10 (d) 11
  31. 31.What is the mode of 2, 17, 19, 19, 14, 14 and 14? (a) 17 (b) 2 (c) 14 (d) 19
  32. 32.The mean of 7 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 19 (b) 23 (c) 20 (d) 21
  33. 33.What is the mean of 4, 10, 12 and 22? (a) 12 (b) 16 (c) 13 (d) 11
  34. 34.What is the mode of 11, 6, 6, 16, 18, 16 and 16? (a) 11 (b) 6 (c) 16 (d) 18
  35. 35.What is the mode of 10, 10, 3, 1, 1, 14 and 10? (a) 3 (b) 1 (c) 14 (d) 10
  36. 36.What is the mean of 15, 2, 16, 8, 7 and 18? (a) 12 (b) 11 (c) 10 (d) 13
  37. 37.What is the mean of 16, 10, 11, 7, 11 and 11? (a) 12 (b) 10 (c) 11 (d) 13
  38. 38.What is the mode of 17, 12, 8, 6, 6, 8 and 8? (a) 6 (b) 8 (c) 12 (d) 17
  39. 39.What is the median of 22, 34, 7, 16, 13, 9 and 20? (a) 17 (b) 16 (c) 20 (d) 13
  40. 40.What is the median of 11, 29, 34, 9, 7, 36 and 28? (a) 22 (b) 9 (c) 28 (d) 29

Answer key

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

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