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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 788 · 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 median of 35, 22, 2, 23 and 17? (a) 22 (b) 17 (c) 23 (d) 2
  2. 2.What is the median of 11, 28, 39, 14, 37, 23 and 2? (a) 23 (b) 28 (c) 22 (d) 14
  3. 3.The mean of 8 numbers is 12. When the number 48 is added to them, what is the new mean? (a) 12 (b) 17 (c) 30 (d) 16
  4. 4.The mean of 3 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 30 (b) 22 (c) 27 (d) 26
  5. 5.What is the median of 7, 34, 12, 40 and 11? (a) 12 (b) 34 (c) 11 (d) 13
  6. 6.The mean of 3 numbers is 22. When the number 26 is added to them, what is the new mean? (a) 25 (b) 22 (c) 23 (d) 24
  7. 7.What is the median of 30, 10, 12, 33, 29, 15 and 4? (a) 29 (b) 19 (c) 33 (d) 15
  8. 8.What is the median of 4, 5, 25, 11, 28, 17 and 22? (a) 22 (b) 17 (c) 11 (d) 16
  9. 9.What is the median of 28, 23, 2, 20 and 7? (a) 2 (b) 20 (c) 16 (d) 23
  10. 10.What is the median of 4, 13, 29, 38 and 3? (a) 4 (b) 14 (c) 29 (d) 13
  11. 11.What is the mean of 4, 20, 15, 9 and 12? (a) 10 (b) 12 (c) 15 (d) 13
  12. 12.The mean of 7 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 52 (b) 44 (c) 43 (d) 40
  13. 13.What is the mean of 4, 13, 16, 5 and 7? (a) 9 (b) 8 (c) 11 (d) 10
  14. 14.What is the mode of 4, 18, 18, 4, 4, 13 and 8? (a) 13 (b) 4 (c) 18 (d) 8
  15. 15.What is the mode of 12, 14, 8, 16, 16, 16 and 14? (a) 12 (b) 14 (c) 16 (d) 8
  16. 16.What is the median of 34, 14, 32, 11 and 5? (a) 15 (b) 11 (c) 14 (d) 32
  17. 17.The mean of 4 numbers is 30. When the number 10 is added to them, what is the new mean? (a) 26 (b) 30 (c) 27 (d) 20
  18. 18.The mean of 4 numbers is 35. When the number 50 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 35
  19. 19.What is the mean of 17, 16, 7, 7, 13 and 12? (a) 12 (b) 13 (c) 14 (d) 11
  20. 20.What is the mean of 10, 19, 10, 18 and 8? (a) 14 (b) 13 (c) 12 (d) 15
  21. 21.What is the mean of 4, 12, 18, 10 and 11? (a) 10 (b) 12 (c) 13 (d) 11
  22. 22.The mean of 6 numbers is 26. When the number 40 is added to them, what is the new mean? (a) 33 (b) 29 (c) 28 (d) 26
  23. 23.What is the mode of 1, 17, 14, 2, 14, 17 and 14? (a) 14 (b) 17 (c) 2 (d) 1
  24. 24.What is the mean of 5, 3, 16 and 8? (a) 7 (b) 10 (c) 9 (d) 8
  25. 25.What is the mode of 2, 17, 17, 13, 2, 19 and 17? (a) 2 (b) 19 (c) 17 (d) 13
  26. 26.The mean of 8 numbers is 37. When the number 28 is added to them, what is the new mean? (a) 35 (b) 36 (c) 38 (d) 37
  27. 27.What is the mean of 8, 7, 9 and 4? (a) 7 (b) 9 (c) 6 (d) 8
  28. 28.What is the mean of 5, 17, 14, 11, 14 and 5? (a) 13 (b) 10 (c) 12 (d) 11
  29. 29.What is the mode of 6, 1, 8, 1, 1, 6 and 20? (a) 6 (b) 1 (c) 8 (d) 20
  30. 30.What is the mean of 5, 19, 5 and 19? (a) 16 (b) 11 (c) 12 (d) 13
  31. 31.What is the mean of 4, 17, 15, 11, 5 and 8? (a) 9 (b) 12 (c) 10 (d) 11
  32. 32.What is the median of 33, 14, 16, 9 and 10? (a) 15 (b) 10 (c) 14 (d) 16
  33. 33.What is the median of 3, 15, 1, 2, 23, 31 and 39? (a) 15 (b) 2 (c) 23 (d) 3
  34. 34.What is the mean of 12, 16, 12, 18, 4 and 16? (a) 15 (b) 14 (c) 13 (d) 12
  35. 35.The mean of 7 numbers is 25. When the number 57 is added to them, what is the new mean? (a) 30 (b) 41 (c) 25 (d) 29
  36. 36.What is the mean of 7, 13, 17, 20 and 18? (a) 17 (b) 14 (c) 15 (d) 16
  37. 37.What is the median of 23, 7, 27, 15, 12, 29 and 16? (a) 23 (b) 17 (c) 15 (d) 16
  38. 38.What is the mean of 14, 4, 4 and 6? (a) 8 (b) 9 (c) 6 (d) 7
  39. 39.What is the mean of 14, 11, 12 and 7? (a) 10 (b) 13 (c) 12 (d) 11
  40. 40.What is the mean of 3, 12, 20, 17 and 13? (a) 13 (b) 12 (c) 14 (d) 15

Answer key

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

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