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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 643 · 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 12, 6, 39, 28 and 21? (a) 28 (b) 39 (c) 12 (d) 21
  2. 2.What is the mode of 17, 17, 19, 7, 17, 15 and 15? (a) 19 (b) 7 (c) 17 (d) 15
  3. 3.The mean of 4 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 38 (b) 43 (c) 37 (d) 33
  4. 4.The mean of 7 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 26
  5. 5.What is the mean of 14, 6, 10, 5 and 5? (a) 10 (b) 7 (c) 9 (d) 8
  6. 6.The mean of 5 numbers is 21. When the number 39 is added to them, what is the new mean? (a) 30 (b) 21 (c) 24 (d) 25
  7. 7.What is the mean of 8, 15, 16, 4 and 12? (a) 12 (b) 10 (c) 13 (d) 11
  8. 8.What is the median of 8, 36, 3, 2 and 15? (a) 15 (b) 3 (c) 8 (d) 9
  9. 9.The mean of 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 16
  10. 10.What is the mean of 8, 16, 15, 17, 10 and 6? (a) 11 (b) 14 (c) 13 (d) 12
  11. 11.What is the mean of 2, 3, 10 and 17? (a) 7 (b) 9 (c) 8 (d) 10
  12. 12.What is the mode of 5, 5, 4, 20, 5, 9 and 4? (a) 5 (b) 9 (c) 4 (d) 20
  13. 13.What is the median of 22, 18, 38, 5 and 33? (a) 18 (b) 38 (c) 22 (d) 33
  14. 14.The mean of 5 numbers is 27. When the number 45 is added to them, what is the new mean? (a) 31 (b) 30 (c) 36 (d) 27
  15. 15.What is the mean of 13, 11, 5, 3, 3 and 13? (a) 7 (b) 8 (c) 10 (d) 9
  16. 16.The mean of 9 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 30 (b) 35 (c) 32 (d) 31
  17. 17.The mean of 6 numbers is 21. When the number 14 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 22
  18. 18.What is the mean of 4, 13, 9, 9, 8 and 11? (a) 11 (b) 10 (c) 8 (d) 9
  19. 19.What is the mean of 13, 3, 11, 4, 2 and 15? (a) 9 (b) 8 (c) 10 (d) 7
  20. 20.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 21
  21. 21.What is the mean of 13, 7, 6, 18 and 6? (a) 9 (b) 11 (c) 12 (d) 10
  22. 22.What is the mean of 8, 2, 8, 20 and 12? (a) 11 (b) 10 (c) 12 (d) 9
  23. 23.The mean of 7 numbers is 19. When the number 43 is added to them, what is the new mean? (a) 31 (b) 22 (c) 23 (d) 19
  24. 24.What is the mean of 12, 9, 8, 10 and 16? (a) 10 (b) 12 (c) 11 (d) 13
  25. 25.What is the mean of 20, 7, 19 and 14? (a) 12 (b) 16 (c) 15 (d) 20
  26. 26.What is the median of 25, 7, 28, 3, 37, 40 and 33? (a) 28 (b) 33 (c) 3 (d) 25
  27. 27.What is the mean of 6, 16, 19, 3 and 11? (a) 12 (b) 13 (c) 11 (d) 10
  28. 28.What is the mode of 3, 4, 11, 4, 15, 4 and 11? (a) 3 (b) 4 (c) 15 (d) 11
  29. 29.What is the median of 16, 22, 31, 39 and 14? (a) 22 (b) 23 (c) 31 (d) 16
  30. 30.The mean of 7 numbers is 32. When the number 16 is added to them, what is the new mean? (a) 24 (b) 32 (c) 31 (d) 30
  31. 31.The mean of 3 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 28 (b) 25 (c) 27 (d) 29
  32. 32.What is the median of 12, 8, 5, 28, 7, 22 and 9? (a) 12 (b) 13 (c) 9 (d) 28
  33. 33.What is the mean of 17, 12, 5 and 18? (a) 13 (b) 12 (c) 15 (d) 14
  34. 34.What is the mode of 5, 20, 5, 3, 20, 5 and 4? (a) 20 (b) 4 (c) 5 (d) 3
  35. 35.What is the mode of 6, 6, 6, 13, 8, 5 and 13? (a) 6 (b) 13 (c) 8 (d) 5
  36. 36.The mean of 3 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 28 (b) 30 (c) 29 (d) 26
  37. 37.What is the mean of 4, 3, 13, 20, 2 and 24? (a) 11 (b) 10 (c) 13 (d) 12
  38. 38.What is the mean of 4, 6, 12 and 6? (a) 8 (b) 7 (c) 6 (d) 9
  39. 39.What is the median of 32, 21, 12, 11 and 38? (a) 32 (b) 12 (c) 22 (d) 21
  40. 40.What is the median of 10, 6, 24, 1, 12, 11 and 28? (a) 10 (b) 12 (c) 11 (d) 1

Answer key

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

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