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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 633 · 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 10, 2, 6, 10, 9, 2 and 2? (a) 10 (b) 2 (c) 9 (d) 6
  2. 2.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 28 (b) 23 (c) 19 (d) 22
  3. 3.What is the mean of 20, 18, 8 and 14? (a) 16 (b) 15 (c) 12 (d) 20
  4. 4.What is the mode of 10, 18, 2, 10, 13, 10 and 13? (a) 13 (b) 2 (c) 10 (d) 18
  5. 5.What is the mean of 4, 9, 10, 9 and 8? (a) 9 (b) 7 (c) 8 (d) 10
  6. 6.What is the median of 36, 23, 39, 5 and 2? (a) 21 (b) 39 (c) 23 (d) 36
  7. 7.What is the median of 23, 13, 30, 12, 15, 20 and 22? (a) 22 (b) 12 (c) 20 (d) 15
  8. 8.What is the mean of 17, 8, 14, 7, 13 and 7? (a) 11 (b) 13 (c) 12 (d) 10
  9. 9.What is the mean of 18, 3, 3 and 8? (a) 10 (b) 7 (c) 9 (d) 8
  10. 10.What is the median of 35, 18, 21, 3 and 26? (a) 26 (b) 21 (c) 18 (d) 22
  11. 11.The mean of 3 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 27 (b) 28 (c) 25 (d) 29
  12. 12.The mean of 7 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 35 (b) 31 (c) 43 (d) 34
  13. 13.The mean of 9 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 8
  14. 14.What is the mode of 6, 7, 11, 11, 5, 11 and 6? (a) 11 (b) 6 (c) 5 (d) 7
  15. 15.What is the mode of 12, 19, 16, 18, 12, 19 and 19? (a) 16 (b) 18 (c) 19 (d) 12
  16. 16.What is the median of 4, 12, 36, 14 and 10? (a) 10 (b) 14 (c) 36 (d) 12
  17. 17.What is the mode of 16, 7, 16, 2, 16, 10 and 7? (a) 16 (b) 2 (c) 10 (d) 7
  18. 18.What is the mode of 6, 9, 9, 6, 9, 19 and 17? (a) 17 (b) 6 (c) 19 (d) 9
  19. 19.What is the mode of 16, 8, 16, 8, 8, 4 and 18? (a) 16 (b) 8 (c) 4 (d) 18
  20. 20.What is the mode of 2, 12, 12, 6, 13, 6 and 6? (a) 2 (b) 6 (c) 13 (d) 12
  21. 21.What is the median of 14, 32, 26, 5, 21, 13 and 2? (a) 5 (b) 13 (c) 14 (d) 21
  22. 22.What is the mean of 11, 10, 6 and 5? (a) 7 (b) 9 (c) 10 (d) 8
  23. 23.What is the median of 36, 31, 21, 11 and 16? (a) 23 (b) 16 (c) 31 (d) 21
  24. 24.What is the mean of 3, 12, 18, 16 and 6? (a) 12 (b) 13 (c) 11 (d) 10
  25. 25.What is the mean of 20, 12, 5, 6, 15 and 8? (a) 12 (b) 11 (c) 10 (d) 13
  26. 26.What is the mean of 4, 19, 3, 2 and 7? (a) 8 (b) 7 (c) 9 (d) 6
  27. 27.What is the mean of 9, 2, 13, 11, 18 and 13? (a) 13 (b) 10 (c) 12 (d) 11
  28. 28.The mean of 4 numbers is 24. When the number 29 is added to them, what is the new mean? (a) 25 (b) 26 (c) 27 (d) 24
  29. 29.What is the mean of 6, 2, 7 and 13? (a) 8 (b) 7 (c) 6 (d) 9
  30. 30.What is the median of 6, 38, 28, 22, 9, 29 and 1? (a) 22 (b) 28 (c) 19 (d) 9
  31. 31.What is the mean of 7, 10, 3 and 20? (a) 11 (b) 10 (c) 9 (d) 8
  32. 32.What is the mean of 14, 5, 16 and 9? (a) 12 (b) 10 (c) 13 (d) 11
  33. 33.What is the mode of 5, 10, 5, 5, 10, 4 and 6? (a) 6 (b) 10 (c) 5 (d) 4
  34. 34.What is the mode of 14, 4, 14, 13, 13, 6 and 14? (a) 13 (b) 6 (c) 4 (d) 14
  35. 35.What is the mean of 3, 7, 12 and 14? (a) 10 (b) 12 (c) 8 (d) 9
  36. 36.What is the mean of 16, 9, 4 and 19? (a) 11 (b) 12 (c) 16 (d) 13
  37. 37.The mean of 7 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 12
  38. 38.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 15 (b) 16 (c) 18 (d) 17
  39. 39.What is the mean of 18, 8, 10, 5, 15 and 4? (a) 11 (b) 9 (c) 12 (d) 10
  40. 40.What is the median of 7, 6, 11, 29, 15, 17 and 3? (a) 15 (b) 11 (c) 7 (d) 29

Answer key

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

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