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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 646 · 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 mode of 4, 12, 1, 1, 13, 12 and 12? (a) 4 (b) 13 (c) 12 (d) 1
  2. 2.What is the mode of 17, 6, 10, 8, 6, 8 and 8? (a) 10 (b) 8 (c) 6 (d) 17
  3. 3.The mean of 5 numbers is 24. When the number 36 is added to them, what is the new mean? (a) 26 (b) 24 (c) 27 (d) 30
  4. 4.What is the mean of 5, 4, 10 and 5? (a) 7 (b) 5 (c) 6 (d) 8
  5. 5.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 39 (b) 35 (c) 36 (d) 37
  6. 6.What is the mean of 15, 9, 13 and 7? (a) 11 (b) 13 (c) 12 (d) 10
  7. 7.What is the mode of 4, 11, 14, 19, 11, 14 and 14? (a) 19 (b) 4 (c) 14 (d) 11
  8. 8.The mean of 5 numbers is 22. When the number 4 is added to them, what is the new mean? (a) 22 (b) 19 (c) 13 (d) 20
  9. 9.What is the median of 25, 34, 4, 32, 33, 36 and 27? (a) 31 (b) 32 (c) 27 (d) 33
  10. 10.What is the mean of 4, 16, 8 and 20? (a) 13 (b) 16 (c) 11 (d) 12
  11. 11.What is the mean of 4, 13, 6 and 17? (a) 9 (b) 11 (c) 10 (d) 8
  12. 12.What is the mode of 10, 7, 13, 7, 7, 13 and 9? (a) 7 (b) 9 (c) 13 (d) 10
  13. 13.What is the mean of 15, 4, 10 and 7? (a) 12 (b) 8 (c) 9 (d) 10
  14. 14.The mean of 7 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 25 (b) 24 (c) 18 (d) 26
  15. 15.What is the mean of 18, 3, 4, 15, 7 and 7? (a) 11 (b) 10 (c) 8 (d) 9
  16. 16.What is the mode of 11, 2, 14, 2, 2, 18 and 18? (a) 14 (b) 18 (c) 2 (d) 11
  17. 17.What is the mode of 14, 9, 5, 9, 8, 14 and 9? (a) 8 (b) 5 (c) 14 (d) 9
  18. 18.What is the median of 6, 7, 13, 21, 39, 20 and 8? (a) 20 (b) 8 (c) 21 (d) 13
  19. 19.What is the mean of 20, 12, 11, 8 and 9? (a) 15 (b) 12 (c) 13 (d) 10
  20. 20.What is the median of 25, 5, 12, 6, 30, 21 and 14? (a) 6 (b) 12 (c) 14 (d) 21
  21. 21.What is the mean of 17, 14, 12 and 9? (a) 12 (b) 14 (c) 15 (d) 13
  22. 22.The mean of 6 numbers is 23. When the number 9 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 16
  23. 23.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 26 (b) 28 (c) 30 (d) 27
  24. 24.What is the mode of 12, 16, 16, 12, 12, 15 and 20? (a) 16 (b) 15 (c) 12 (d) 20
  25. 25.What is the median of 1, 10, 17, 14 and 11? (a) 11 (b) 10 (c) 14 (d) 17
  26. 26.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 16
  27. 27.What is the mean of 12, 13, 3, 12 and 20? (a) 10 (b) 13 (c) 12 (d) 15
  28. 28.What is the mode of 4, 8, 15, 15, 5, 5 and 5? (a) 8 (b) 15 (c) 4 (d) 5
  29. 29.The mean of 5 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 34
  30. 30.What is the median of 21, 20, 5, 8 and 19? (a) 5 (b) 8 (c) 19 (d) 20
  31. 31.What is the mode of 19, 6, 14, 19, 1, 19 and 6? (a) 14 (b) 6 (c) 19 (d) 1
  32. 32.The mean of 6 numbers is 13. When the number 34 is added to them, what is the new mean? (a) 17 (b) 15 (c) 13 (d) 16
  33. 33.The mean of 8 numbers is 40. When the number 67 is added to them, what is the new mean? (a) 40 (b) 43 (c) 44 (d) 42
  34. 34.What is the median of 26, 10, 22, 15, 28, 25 and 13? (a) 23 (b) 22 (c) 15 (d) 25
  35. 35.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 14
  36. 36.What is the median of 6, 18, 5, 36 and 3? (a) 7 (b) 5 (c) 6 (d) 18
  37. 37.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 16 (b) 20 (c) 30 (d) 21
  38. 38.What is the mean of 6, 9, 17, 19 and 4? (a) 13 (b) 11 (c) 12 (d) 10
  39. 39.What is the mean of 4, 4, 4, 17 and 6? (a) 6 (b) 8 (c) 9 (d) 7
  40. 40.What is the mode of 8, 12, 5, 8, 13, 8 and 5? (a) 5 (b) 12 (c) 13 (d) 8

Answer key

  1. 12
  2. 8
  3. 26
  4. 6
  5. 36
  6. 11
  7. 14
  8. 19
  9. 32
  10. 12
  11. 10
  12. 7
  13. 9
  14. 24
  15. 9
  16. 2
  17. 9
  18. 13
  19. 12
  20. 14
  21. 13
  22. 21
  23. 27
  24. 12
  25. 11
  26. 16
  27. 12
  28. 5
  29. 38
  30. 19
  31. 19
  32. 16
  33. 43
  34. 22
  35. 16
  36. 6
  37. 20
  38. 11
  39. 7
  40. 8

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