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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 793 · 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 26, 8, 34, 37 and 11? (a) 11 (b) 27 (c) 26 (d) 34
  2. 2.The mean of 8 numbers is 26. When the number 62 is added to them, what is the new mean? (a) 44 (b) 30 (c) 26 (d) 31
  3. 3.The mean of 4 numbers is 30. When the number 25 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 31
  4. 4.What is the mean of 20, 3, 2, 2 and 13? (a) 10 (b) 7 (c) 8 (d) 9
  5. 5.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 16 (b) 17 (c) 14 (d) 19
  6. 6.What is the mean of 11, 8, 13 and 4? (a) 10 (b) 9 (c) 8 (d) 12
  7. 7.What is the mode of 15, 4, 15, 17, 4, 15 and 13? (a) 13 (b) 15 (c) 4 (d) 17
  8. 8.What is the mode of 12, 20, 12, 1, 20, 3 and 20? (a) 20 (b) 1 (c) 3 (d) 12
  9. 9.The mean of 4 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 32 (b) 31 (c) 27 (d) 30
  10. 10.What is the mode of 20, 3, 18, 18, 6, 20 and 20? (a) 20 (b) 3 (c) 6 (d) 18
  11. 11.The mean of 3 numbers is 40. When the number 36 is added to them, what is the new mean? (a) 38 (b) 41 (c) 39 (d) 40
  12. 12.The mean of 7 numbers is 34. When the number 66 is added to them, what is the new mean? (a) 39 (b) 34 (c) 50 (d) 38
  13. 13.What is the mean of 5, 16, 19 and 16? (a) 13 (b) 16 (c) 15 (d) 14
  14. 14.What is the mean of 10, 9, 12, 13, 8 and 20? (a) 13 (b) 14 (c) 11 (d) 12
  15. 15.What is the mode of 16, 6, 5, 6, 4, 4 and 4? (a) 4 (b) 16 (c) 6 (d) 5
  16. 16.The mean of 4 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 38 (b) 28 (c) 34 (d) 35
  17. 17.What is the mode of 2, 16, 2, 3, 20, 2 and 20? (a) 20 (b) 3 (c) 2 (d) 16
  18. 18.What is the median of 29, 5, 21, 28 and 14? (a) 22 (b) 28 (c) 21 (d) 14
  19. 19.What is the mode of 2, 4, 15, 2, 15, 15 and 5? (a) 2 (b) 4 (c) 5 (d) 15
  20. 20.What is the median of 10, 7, 14, 4 and 38? (a) 14 (b) 10 (c) 7 (d) 11
  21. 21.The mean of 3 numbers is 24. When the number 28 is added to them, what is the new mean? (a) 27 (b) 26 (c) 24 (d) 25
  22. 22.What is the mean of 6, 6, 16, 5, 6 and 21? (a) 9 (b) 12 (c) 11 (d) 10
  23. 23.The mean of 5 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 38 (b) 36 (c) 29 (d) 35
  24. 24.The mean of 5 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 32 (b) 30 (c) 26 (d) 31
  25. 25.What is the mode of 16, 16, 7, 4, 4, 16 and 13? (a) 7 (b) 4 (c) 16 (d) 13
  26. 26.What is the median of 3, 4, 31, 32, 16, 2 and 1? (a) 4 (b) 16 (c) 3 (d) 32
  27. 27.What is the mode of 4, 17, 19, 1, 1, 4 and 1? (a) 17 (b) 1 (c) 4 (d) 19
  28. 28.What is the median of 17, 40, 9, 27 and 10? (a) 10 (b) 17 (c) 9 (d) 27
  29. 29.The mean of 4 numbers is 31. When the number 46 is added to them, what is the new mean? (a) 35 (b) 31 (c) 34 (d) 33
  30. 30.What is the median of 33, 13, 14, 11 and 32? (a) 32 (b) 14 (c) 13 (d) 15
  31. 31.What is the mean of 16, 6, 19, 16 and 18? (a) 14 (b) 16 (c) 17 (d) 15
  32. 32.What is the mean of 6, 16, 10, 6 and 7? (a) 10 (b) 11 (c) 9 (d) 8
  33. 33.The mean of 9 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 20 (b) 15 (c) 19 (d) 18
  34. 34.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 29 (b) 33 (c) 30 (d) 31
  35. 35.What is the median of 25, 13, 27, 30 and 6? (a) 13 (b) 26 (c) 27 (d) 25
  36. 36.What is the mean of 12, 14, 10, 9 and 15? (a) 10 (b) 15 (c) 12 (d) 13
  37. 37.What is the mean of 3, 2, 18, 4 and 8? (a) 9 (b) 7 (c) 8 (d) 6
  38. 38.What is the median of 19, 24, 39, 30, 38, 4 and 1? (a) 19 (b) 30 (c) 24 (d) 25
  39. 39.What is the mode of 2, 6, 14, 11, 14, 14 and 2? (a) 2 (b) 14 (c) 11 (d) 6
  40. 40.What is the mode of 9, 12, 12, 10, 3, 3 and 12? (a) 10 (b) 3 (c) 12 (d) 9

Answer key

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

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