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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 100 · 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 7, 14, 14, 2 and 13? (a) 9 (b) 11 (c) 12 (d) 10
  2. 2.The mean of 6 numbers is 28. When the number 35 is added to them, what is the new mean? (a) 29 (b) 28 (c) 30 (d) 31
  3. 3.The mean of 7 numbers is 38. When the number 30 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 34
  4. 4.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 37 (b) 36 (c) 39 (d) 30
  5. 5.What is the median of 24, 15, 35, 39, 12, 25 and 16? (a) 25 (b) 16 (c) 24 (d) 39
  6. 6.What is the mean of 16, 17, 18 and 13? (a) 15 (b) 18 (c) 17 (d) 16
  7. 7.What is the median of 10, 39, 31, 24 and 6? (a) 24 (b) 22 (c) 10 (d) 31
  8. 8.What is the mode of 4, 4, 4, 11, 8, 9 and 11? (a) 8 (b) 11 (c) 4 (d) 9
  9. 9.What is the median of 13, 30, 39, 22, 10, 28 and 5? (a) 28 (b) 21 (c) 22 (d) 13
  10. 10.What is the median of 3, 10, 13, 26 and 25? (a) 10 (b) 25 (c) 14 (d) 13
  11. 11.What is the mean of 12, 16, 11 and 21? (a) 20 (b) 12 (c) 15 (d) 16
  12. 12.What is the mean of 9, 15, 19, 15 and 12? (a) 14 (b) 16 (c) 13 (d) 15
  13. 13.What is the mean of 11, 17, 7, 2 and 13? (a) 11 (b) 12 (c) 10 (d) 9
  14. 14.The mean of 4 numbers is 36. When the number 31 is added to them, what is the new mean? (a) 37 (b) 34 (c) 35 (d) 36
  15. 15.What is the median of 35, 24, 18, 26 and 7? (a) 26 (b) 22 (c) 18 (d) 24
  16. 16.The mean of 7 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 28 (b) 34 (c) 36 (d) 35
  17. 17.The mean of 7 numbers is 24. When the number 40 is added to them, what is the new mean? (a) 32 (b) 26 (c) 27 (d) 24
  18. 18.What is the mean of 9, 8, 3 and 4? (a) 5 (b) 8 (c) 7 (d) 6
  19. 19.What is the mean of 12, 3, 17 and 12? (a) 12 (b) 13 (c) 10 (d) 11
  20. 20.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 28
  21. 21.The mean of 3 numbers is 29. When the number 33 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 32
  22. 22.The mean of 7 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 28 (b) 26 (c) 34 (d) 29
  23. 23.What is the mean of 14, 15, 2, 10, 4 and 3? (a) 7 (b) 10 (c) 8 (d) 9
  24. 24.What is the mode of 7, 7, 17, 11, 7, 10 and 17? (a) 11 (b) 7 (c) 10 (d) 17
  25. 25.What is the mode of 7, 4, 11, 7, 11, 7 and 10? (a) 7 (b) 4 (c) 11 (d) 10
  26. 26.What is the median of 33, 40, 3, 37 and 30? (a) 3 (b) 33 (c) 37 (d) 30
  27. 27.What is the mode of 13, 13, 4, 10, 4, 5 and 4? (a) 10 (b) 13 (c) 5 (d) 4
  28. 28.The mean of 9 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 21 (b) 25 (c) 22 (d) 20
  29. 29.What is the mode of 16, 9, 1, 16, 12, 9 and 9? (a) 16 (b) 1 (c) 9 (d) 12
  30. 30.What is the mode of 12, 12, 14, 4, 4, 11 and 4? (a) 14 (b) 11 (c) 4 (d) 12
  31. 31.What is the median of 32, 5, 19, 33 and 24? (a) 32 (b) 24 (c) 25 (d) 19
  32. 32.What is the median of 16, 7, 8, 37, 1, 34 and 13? (a) 16 (b) 8 (c) 13 (d) 37
  33. 33.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 20 (b) 23 (c) 21 (d) 22
  34. 34.What is the mean of 14, 17, 2 and 7? (a) 8 (b) 9 (c) 11 (d) 10
  35. 35.What is the mean of 10, 13, 6, 11 and 10? (a) 10 (b) 11 (c) 9 (d) 12
  36. 36.The mean of 4 numbers is 29. When the number 49 is added to them, what is the new mean? (a) 29 (b) 34 (c) 33 (d) 39
  37. 37.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 29 (b) 27 (c) 26 (d) 28
  38. 38.What is the median of 39, 8, 13, 18 and 38? (a) 19 (b) 38 (c) 18 (d) 13
  39. 39.What is the mean of 11, 8, 8 and 5? (a) 10 (b) 7 (c) 9 (d) 8
  40. 40.What is the mean of 3, 15, 19, 10 and 8? (a) 12 (b) 13 (c) 11 (d) 10

Answer key

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

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