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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 811 · 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.The mean of 3 numbers is 24. When the number 40 is added to them, what is the new mean? (a) 29 (b) 24 (c) 28 (d) 32
  2. 2.What is the mean of 17, 2, 6, 9 and 16? (a) 10 (b) 9 (c) 11 (d) 12
  3. 3.What is the mean of 16, 8, 4, 16, 9 and 25? (a) 15 (b) 14 (c) 12 (d) 13
  4. 4.What is the median of 9, 33, 40, 39 and 3? (a) 9 (b) 33 (c) 40 (d) 39
  5. 5.The mean of 5 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 37 (b) 36 (c) 32 (d) 38
  6. 6.What is the median of 35, 32, 20, 7 and 15? (a) 32 (b) 21 (c) 20 (d) 15
  7. 7.What is the mode of 9, 18, 9, 9, 18, 15 and 13? (a) 18 (b) 9 (c) 15 (d) 13
  8. 8.What is the mode of 18, 7, 4, 3, 3, 4 and 3? (a) 4 (b) 3 (c) 7 (d) 18
  9. 9.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 30 (b) 31 (c) 33 (d) 28
  10. 10.The mean of 3 numbers is 37. When the number 25 is added to them, what is the new mean? (a) 37 (b) 34 (c) 35 (d) 31
  11. 11.What is the median of 14, 13, 40, 35 and 32? (a) 32 (b) 35 (c) 40 (d) 14
  12. 12.What is the mode of 8, 18, 18, 3, 18, 3 and 13? (a) 18 (b) 13 (c) 3 (d) 8
  13. 13.What is the mean of 17, 2, 5 and 20? (a) 11 (b) 12 (c) 13 (d) 10
  14. 14.What is the mean of 14, 5, 3 and 6? (a) 7 (b) 6 (c) 9 (d) 8
  15. 15.What is the mean of 15, 10, 17, 13, 3 and 20? (a) 14 (b) 12 (c) 13 (d) 15
  16. 16.What is the mean of 6, 3, 7 and 4? (a) 5 (b) 7 (c) 6 (d) 4
  17. 17.The mean of 3 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 43 (b) 39 (c) 42 (d) 45
  18. 18.What is the mode of 20, 14, 20, 20, 16, 14 and 3? (a) 16 (b) 20 (c) 3 (d) 14
  19. 19.What is the mode of 14, 15, 6, 15, 15, 11 and 11? (a) 14 (b) 11 (c) 6 (d) 15
  20. 20.The mean of 8 numbers is 37. When the number 28 is added to them, what is the new mean? (a) 36 (b) 35 (c) 38 (d) 37
  21. 21.What is the mode of 17, 4, 18, 12, 12, 4 and 12? (a) 17 (b) 4 (c) 18 (d) 12
  22. 22.What is the median of 11, 32, 20, 38 and 31? (a) 31 (b) 30 (c) 32 (d) 20
  23. 23.What is the mean of 8, 14, 15 and 7? (a) 10 (b) 11 (c) 12 (d) 13
  24. 24.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 31 (b) 33 (c) 34 (d) 32
  25. 25.The mean of 4 numbers is 18. When the number 3 is added to them, what is the new mean? (a) 15 (b) 16 (c) 18 (d) 14
  26. 26.What is the mean of 17, 8, 6, 17 and 12? (a) 10 (b) 15 (c) 12 (d) 13
  27. 27.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 31 (b) 29 (c) 28 (d) 30
  28. 28.The mean of 3 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 39 (b) 33 (c) 36 (d) 37
  29. 29.What is the median of 3, 34, 22, 10, 32, 19 and 40? (a) 10 (b) 32 (c) 22 (d) 19
  30. 30.What is the median of 21, 30, 6, 24 and 12? (a) 24 (b) 21 (c) 12 (d) 6
  31. 31.What is the mode of 5, 2, 5, 4, 2, 2 and 7? (a) 2 (b) 7 (c) 5 (d) 4
  32. 32.What is the mean of 3, 18, 12 and 7? (a) 9 (b) 11 (c) 10 (d) 8
  33. 33.The mean of 6 numbers is 33. When the number 61 is added to them, what is the new mean? (a) 47 (b) 38 (c) 37 (d) 33
  34. 34.What is the median of 27, 22, 2, 32 and 35? (a) 32 (b) 22 (c) 27 (d) 2
  35. 35.What is the mean of 4, 20, 18, 20 and 18? (a) 20 (b) 17 (c) 15 (d) 16
  36. 36.What is the median of 5, 28, 35, 3 and 10? (a) 5 (b) 28 (c) 10 (d) 35
  37. 37.The mean of 7 numbers is 11. When the number 35 is added to them, what is the new mean? (a) 11 (b) 23 (c) 14 (d) 15
  38. 38.What is the mean of 20, 19, 2, 8 and 16? (a) 14 (b) 12 (c) 15 (d) 13
  39. 39.What is the mean of 16, 13, 19, 10 and 17? (a) 15 (b) 14 (c) 16 (d) 17
  40. 40.What is the median of 40, 10, 27, 33 and 38? (a) 27 (b) 34 (c) 33 (d) 38

Answer key

  1. 28
  2. 10
  3. 13
  4. 33
  5. 36
  6. 20
  7. 9
  8. 3
  9. 30
  10. 34
  11. 32
  12. 18
  13. 11
  14. 7
  15. 13
  16. 5
  17. 42
  18. 20
  19. 15
  20. 36
  21. 12
  22. 31
  23. 11
  24. 32
  25. 15
  26. 12
  27. 29
  28. 36
  29. 22
  30. 21
  31. 2
  32. 10
  33. 37
  34. 27
  35. 16
  36. 10
  37. 14
  38. 13
  39. 15
  40. 33

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