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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 106 · 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 20, 23, 39, 24 and 31? (a) 23 (b) 24 (c) 31 (d) 39
  2. 2.The mean of 6 numbers is 25. When the number 39 is added to them, what is the new mean? (a) 32 (b) 25 (c) 28 (d) 27
  3. 3.What is the mean of 10, 8, 4, 16 and 12? (a) 11 (b) 10 (c) 12 (d) 9
  4. 4.What is the mean of 19, 16, 12 and 13? (a) 15 (b) 16 (c) 12 (d) 20
  5. 5.What is the median of 33, 21, 34, 18, 2, 15 and 5? (a) 21 (b) 18 (c) 19 (d) 15
  6. 6.What is the median of 5, 9, 26, 20 and 8? (a) 26 (b) 9 (c) 8 (d) 20
  7. 7.What is the mode of 2, 2, 16, 5, 16, 18 and 2? (a) 18 (b) 2 (c) 16 (d) 5
  8. 8.What is the mode of 1, 15, 13, 13, 5, 1 and 13? (a) 1 (b) 5 (c) 13 (d) 15
  9. 9.What is the mode of 13, 3, 13, 2, 13, 15 and 15? (a) 3 (b) 2 (c) 13 (d) 15
  10. 10.What is the median of 39, 8, 34, 13, 5, 20 and 10? (a) 13 (b) 10 (c) 14 (d) 20
  11. 11.What is the mean of 13, 3, 4 and 16? (a) 10 (b) 9 (c) 8 (d) 12
  12. 12.What is the mean of 6, 2, 15 and 21? (a) 13 (b) 11 (c) 10 (d) 12
  13. 13.What is the median of 3, 37, 29, 1, 31, 12 and 39? (a) 1 (b) 12 (c) 31 (d) 29
  14. 14.The mean of 6 numbers is 37. When the number 58 is added to them, what is the new mean? (a) 41 (b) 39 (c) 40 (d) 37
  15. 15.What is the median of 7, 32, 39, 35, 19, 34 and 37? (a) 29 (b) 35 (c) 34 (d) 32
  16. 16.What is the mode of 12, 8, 8, 3, 12, 12 and 16? (a) 12 (b) 8 (c) 3 (d) 16
  17. 17.What is the mean of 12, 16, 9, 2 and 6? (a) 11 (b) 8 (c) 9 (d) 10
  18. 18.What is the median of 14, 13, 9, 7 and 19? (a) 9 (b) 14 (c) 13 (d) 12
  19. 19.What is the median of 2, 4, 11, 39 and 3? (a) 5 (b) 3 (c) 11 (d) 4
  20. 20.What is the mode of 12, 17, 18, 15, 15, 15 and 17? (a) 15 (b) 12 (c) 17 (d) 18
  21. 21.What is the mode of 2, 4, 8, 1, 4, 8 and 4? (a) 2 (b) 8 (c) 1 (d) 4
  22. 22.What is the mean of 12, 8, 4 and 8? (a) 7 (b) 9 (c) 8 (d) 10
  23. 23.What is the median of 15, 25, 16, 12, 33, 39 and 11? (a) 15 (b) 25 (c) 12 (d) 16
  24. 24.What is the mode of 3, 14, 15, 14, 4, 14 and 4? (a) 3 (b) 14 (c) 4 (d) 15
  25. 25.The mean of 3 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 21 (b) 25 (c) 24 (d) 23
  26. 26.What is the median of 15, 6, 4, 30 and 31? (a) 30 (b) 4 (c) 15 (d) 6
  27. 27.What is the median of 10, 26, 21, 24 and 15? (a) 21 (b) 22 (c) 15 (d) 24
  28. 28.What is the median of 27, 21, 10, 24, 31, 35 and 4? (a) 25 (b) 27 (c) 21 (d) 24
  29. 29.What is the mode of 3, 16, 3, 17, 17, 3 and 15? (a) 15 (b) 17 (c) 16 (d) 3
  30. 30.What is the mode of 8, 1, 5, 5, 8, 5 and 4? (a) 8 (b) 4 (c) 1 (d) 5
  31. 31.What is the mode of 10, 10, 17, 17, 19, 10 and 8? (a) 17 (b) 8 (c) 19 (d) 10
  32. 32.The mean of 3 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 36 (b) 30 (c) 33 (d) 34
  33. 33.What is the mode of 20, 20, 13, 16, 16, 7 and 16? (a) 16 (b) 7 (c) 13 (d) 20
  34. 34.What is the mode of 5, 1, 1, 4, 5, 2 and 5? (a) 2 (b) 4 (c) 1 (d) 5
  35. 35.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 20 (b) 16 (c) 21 (d) 24
  36. 36.What is the mode of 5, 1, 5, 10, 10, 2 and 10? (a) 1 (b) 10 (c) 2 (d) 5
  37. 37.What is the mode of 4, 4, 4, 1, 2, 11 and 11? (a) 2 (b) 4 (c) 11 (d) 1
  38. 38.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 18 (b) 16 (c) 20 (d) 19
  39. 39.What is the mean of 3, 11, 7 and 23? (a) 12 (b) 13 (c) 10 (d) 11
  40. 40.What is the median of 34, 7, 11, 32 and 36? (a) 34 (b) 11 (c) 32 (d) 24

Answer key

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

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