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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 824 · 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 25, 33, 39, 13, 37, 22 and 6? (a) 13 (b) 33 (c) 22 (d) 25
  2. 2.What is the mean of 17, 16, 5, 15 and 7? (a) 12 (b) 15 (c) 13 (d) 10
  3. 3.What is the mean of 6, 4, 9 and 5? (a) 8 (b) 5 (c) 7 (d) 6
  4. 4.What is the median of 40, 8, 29, 10, 21, 1 and 38? (a) 29 (b) 21 (c) 22 (d) 10
  5. 5.What is the median of 38, 4, 3, 34 and 21? (a) 21 (b) 34 (c) 3 (d) 20
  6. 6.What is the median of 3, 21, 34, 24, 28, 8 and 17? (a) 17 (b) 22 (c) 21 (d) 24
  7. 7.What is the median of 25, 13, 11, 32, 2, 39 and 27? (a) 27 (b) 25 (c) 13 (d) 32
  8. 8.What is the median of 20, 10, 34, 11, 7, 5 and 21? (a) 10 (b) 12 (c) 11 (d) 20
  9. 9.What is the median of 34, 31, 10, 15, 24, 14 and 4? (a) 14 (b) 15 (c) 24 (d) 16
  10. 10.What is the mode of 3, 3, 5, 16, 16, 6 and 16? (a) 16 (b) 6 (c) 3 (d) 5
  11. 11.What is the median of 15, 14, 19, 34 and 35? (a) 15 (b) 34 (c) 20 (d) 19
  12. 12.What is the mode of 20, 17, 20, 17, 8, 17 and 16? (a) 20 (b) 16 (c) 17 (d) 8
  13. 13.What is the median of 31, 9, 3, 8 and 23? (a) 9 (b) 8 (c) 23 (d) 3
  14. 14.The mean of 8 numbers is 33. When the number 42 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 33
  15. 15.The mean of 7 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 18 (b) 17 (c) 11 (d) 19
  16. 16.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 31 (b) 32 (c) 35 (d) 29
  17. 17.The mean of 7 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 31 (b) 33 (c) 29 (d) 32
  18. 18.What is the mode of 9, 9, 16, 8, 8, 6 and 8? (a) 8 (b) 9 (c) 6 (d) 16
  19. 19.What is the mode of 15, 1, 1, 9, 1, 3 and 9? (a) 15 (b) 1 (c) 9 (d) 3
  20. 20.What is the mode of 19, 19, 8, 11, 13, 19 and 13? (a) 11 (b) 8 (c) 13 (d) 19
  21. 21.What is the mean of 4, 19, 4, 17 and 11? (a) 13 (b) 12 (c) 10 (d) 11
  22. 22.What is the mean of 10, 10, 5 and 3? (a) 7 (b) 6 (c) 9 (d) 8
  23. 23.What is the median of 4, 6, 3, 36, 8, 29 and 30? (a) 36 (b) 6 (c) 8 (d) 29
  24. 24.What is the mode of 12, 13, 8, 1, 13, 1 and 13? (a) 8 (b) 1 (c) 13 (d) 12
  25. 25.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 12 (b) 17 (c) 13 (d) 14
  26. 26.What is the mode of 8, 6, 6, 8, 12, 8 and 13? (a) 6 (b) 13 (c) 12 (d) 8
  27. 27.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 24 (b) 21 (c) 26 (d) 25
  28. 28.What is the mode of 15, 15, 15, 8, 8, 1 and 2? (a) 15 (b) 1 (c) 2 (d) 8
  29. 29.What is the mode of 9, 9, 2, 13, 13, 12 and 9? (a) 2 (b) 12 (c) 13 (d) 9
  30. 30.What is the median of 35, 6, 26, 7, 40, 16 and 32? (a) 26 (b) 7 (c) 16 (d) 32
  31. 31.What is the mean of 4, 12, 12, 9 and 23? (a) 15 (b) 12 (c) 10 (d) 13
  32. 32.What is the mean of 18, 16, 13, 5 and 3? (a) 13 (b) 11 (c) 12 (d) 10
  33. 33.What is the mode of 6, 4, 4, 13, 6, 5 and 6? (a) 4 (b) 13 (c) 5 (d) 6
  34. 34.What is the median of 23, 10, 7, 12, 40, 38 and 37? (a) 37 (b) 12 (c) 23 (d) 24
  35. 35.What is the median of 21, 40, 18, 14 and 27? (a) 18 (b) 21 (c) 24 (d) 27
  36. 36.What is the mode of 15, 19, 7, 15, 10, 19 and 19? (a) 7 (b) 10 (c) 15 (d) 19
  37. 37.The mean of 6 numbers is 19. When the number 47 is added to them, what is the new mean? (a) 23 (b) 24 (c) 33 (d) 19
  38. 38.What is the median of 3, 27, 28, 24 and 5? (a) 27 (b) 5 (c) 28 (d) 24
  39. 39.The mean of 5 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 36 (b) 43 (c) 35 (d) 31
  40. 40.What is the median of 17, 4, 3, 19, 13, 35 and 26? (a) 18 (b) 13 (c) 17 (d) 19

Answer key

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

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