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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 565 · 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 mean of 10, 2, 2, 3, 15 and 22? (a) 8 (b) 11 (c) 9 (d) 10
  2. 2.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 13
  3. 3.What is the mean of 4, 5, 16, 15 and 10? (a) 12 (b) 10 (c) 11 (d) 9
  4. 4.The mean of 4 numbers is 12. When the number 27 is added to them, what is the new mean? (a) 12 (b) 16 (c) 14 (d) 15
  5. 5.What is the mean of 16, 5, 2, 12 and 10? (a) 8 (b) 11 (c) 9 (d) 10
  6. 6.What is the mean of 7, 16, 17 and 4? (a) 12 (b) 13 (c) 10 (d) 11
  7. 7.What is the median of 9, 26, 35, 14 and 20? (a) 20 (b) 26 (c) 35 (d) 14
  8. 8.What is the mean of 5, 4, 6, 5 and 20? (a) 7 (b) 9 (c) 8 (d) 10
  9. 9.What is the mode of 10, 12, 12, 16, 16, 14 and 16? (a) 14 (b) 12 (c) 10 (d) 16
  10. 10.What is the mean of 20, 16, 8, 6 and 10? (a) 10 (b) 13 (c) 12 (d) 15
  11. 11.What is the mean of 11, 6, 13 and 2? (a) 9 (b) 7 (c) 10 (d) 8
  12. 12.What is the median of 37, 35, 33, 8 and 21? (a) 35 (b) 33 (c) 21 (d) 34
  13. 13.What is the mean of 8, 6, 6, 7 and 18? (a) 11 (b) 10 (c) 9 (d) 8
  14. 14.What is the median of 6, 18, 14, 23 and 29? (a) 19 (b) 23 (c) 18 (d) 14
  15. 15.The mean of 6 numbers is 22. When the number 29 is added to them, what is the new mean? (a) 22 (b) 25 (c) 24 (d) 23
  16. 16.What is the mean of 4, 6, 7 and 7? (a) 5 (b) 8 (c) 6 (d) 7
  17. 17.What is the median of 39, 22, 3, 23, 33, 13 and 34? (a) 23 (b) 22 (c) 24 (d) 33
  18. 18.What is the median of 9, 36, 17, 26 and 35? (a) 35 (b) 17 (c) 26 (d) 27
  19. 19.What is the mode of 19, 7, 18, 9, 9, 9 and 19? (a) 19 (b) 7 (c) 18 (d) 9
  20. 20.The mean of 4 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 36 (b) 26 (c) 32 (d) 33
  21. 21.What is the mean of 2, 13, 18, 6 and 11? (a) 9 (b) 11 (c) 12 (d) 10
  22. 22.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
  23. 23.The mean of 8 numbers is 29. When the number 2 is added to them, what is the new mean? (a) 25 (b) 29 (c) 26 (d) 27
  24. 24.What is the mean of 19, 2, 10, 16, 16 and 9? (a) 11 (b) 14 (c) 12 (d) 13
  25. 25.What is the median of 24, 31, 17, 8 and 29? (a) 25 (b) 24 (c) 17 (d) 29
  26. 26.What is the median of 26, 40, 6, 27 and 2? (a) 27 (b) 6 (c) 25 (d) 26
  27. 27.What is the median of 6, 39, 8, 1, 7, 40 and 2? (a) 8 (b) 6 (c) 7 (d) 1
  28. 28.What is the mean of 18, 4, 6 and 8? (a) 8 (b) 12 (c) 10 (d) 9
  29. 29.What is the mode of 1, 13, 20, 11, 13, 20 and 20? (a) 11 (b) 20 (c) 1 (d) 13
  30. 30.What is the median of 1, 39, 2, 20, 7, 8 and 37? (a) 9 (b) 7 (c) 20 (d) 8
  31. 31.What is the median of 14, 9, 36, 39 and 11? (a) 36 (b) 15 (c) 11 (d) 14
  32. 32.The mean of 5 numbers is 21. When the number 33 is added to them, what is the new mean? (a) 23 (b) 27 (c) 24 (d) 21
  33. 33.What is the median of 26, 14, 9, 30 and 32? (a) 30 (b) 9 (c) 26 (d) 14
  34. 34.What is the mode of 20, 10, 3, 20, 3, 12 and 20? (a) 20 (b) 10 (c) 12 (d) 3
  35. 35.What is the mode of 7, 7, 4, 5, 1, 5 and 5? (a) 5 (b) 7 (c) 1 (d) 4
  36. 36.What is the mode of 3, 13, 1, 13, 3, 3 and 14? (a) 14 (b) 1 (c) 13 (d) 3
  37. 37.What is the median of 2, 5, 19, 25 and 39? (a) 18 (b) 25 (c) 5 (d) 19
  38. 38.What is the mode of 17, 17, 2, 18, 12, 18 and 17? (a) 18 (b) 12 (c) 2 (d) 17
  39. 39.The mean of 6 numbers is 35. When the number 28 is added to them, what is the new mean? (a) 35 (b) 33 (c) 36 (d) 34
  40. 40.What is the mean of 5, 2, 5, 12, 7 and 11? (a) 8 (b) 9 (c) 7 (d) 6

Answer key

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

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