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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 311 · 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 19, 36, 10, 24 and 17? (a) 17 (b) 10 (c) 19 (d) 24
  2. 2.What is the mean of 5, 9, 16 and 10? (a) 8 (b) 11 (c) 9 (d) 10
  3. 3.What is the mean of 15, 9, 12, 4 and 15? (a) 10 (b) 12 (c) 11 (d) 13
  4. 4.What is the median of 21, 34, 18, 36 and 28? (a) 34 (b) 21 (c) 28 (d) 18
  5. 5.What is the median of 38, 32, 39, 20 and 4? (a) 20 (b) 32 (c) 39 (d) 38
  6. 6.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 19 (b) 18 (c) 20 (d) 17
  7. 7.What is the mode of 2, 20, 7, 2, 1, 20 and 20? (a) 1 (b) 2 (c) 7 (d) 20
  8. 8.What is the mode of 4, 4, 20, 13, 4, 7 and 7? (a) 4 (b) 7 (c) 13 (d) 20
  9. 9.The mean of 5 numbers is 24. When the number 48 is added to them, what is the new mean? (a) 29 (b) 36 (c) 28 (d) 24
  10. 10.What is the mode of 3, 12, 3, 12, 18, 16 and 3? (a) 12 (b) 3 (c) 16 (d) 18
  11. 11.What is the mode of 11, 20, 20, 20, 11, 16 and 4? (a) 4 (b) 16 (c) 20 (d) 11
  12. 12.What is the median of 36, 6, 37, 1 and 10? (a) 18 (b) 10 (c) 36 (d) 37
  13. 13.What is the mean of 4, 14, 15, 11, 10 and 6? (a) 9 (b) 10 (c) 11 (d) 12
  14. 14.What is the mean of 5, 13, 10, 10, 19 and 9? (a) 13 (b) 12 (c) 11 (d) 10
  15. 15.What is the mean of 8, 7, 16 and 9? (a) 8 (b) 10 (c) 11 (d) 9
  16. 16.What is the mode of 1, 8, 5, 14, 5, 5 and 8? (a) 8 (b) 1 (c) 5 (d) 14
  17. 17.What is the mode of 6, 15, 3, 15, 13, 3 and 3? (a) 3 (b) 6 (c) 13 (d) 15
  18. 18.What is the mean of 3, 20, 3, 12 and 17? (a) 12 (b) 11 (c) 10 (d) 13
  19. 19.The mean of 7 numbers is 40. When the number 72 is added to them, what is the new mean? (a) 45 (b) 40 (c) 44 (d) 56
  20. 20.What is the median of 2, 10, 7, 36 and 22? (a) 11 (b) 10 (c) 22 (d) 7
  21. 21.The mean of 4 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 34 (b) 35 (c) 30 (d) 40
  22. 22.What is the mean of 16, 7, 17, 15, 12 and 23? (a) 18 (b) 16 (c) 15 (d) 14
  23. 23.What is the median of 32, 8, 29, 36 and 38? (a) 36 (b) 29 (c) 32 (d) 33
  24. 24.What is the mean of 8, 15, 12, 10, 14 and 19? (a) 12 (b) 14 (c) 15 (d) 13
  25. 25.What is the mode of 6, 9, 9, 18, 6, 6 and 4? (a) 9 (b) 18 (c) 4 (d) 6
  26. 26.What is the mode of 20, 3, 3, 17, 1, 17 and 3? (a) 3 (b) 20 (c) 17 (d) 1
  27. 27.What is the mode of 9, 18, 2, 1, 9, 1 and 9? (a) 1 (b) 2 (c) 18 (d) 9
  28. 28.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 23
  29. 29.What is the mean of 2, 17, 10, 20 and 16? (a) 12 (b) 15 (c) 13 (d) 14
  30. 30.What is the mean of 16, 18, 11 and 11? (a) 15 (b) 13 (c) 16 (d) 14
  31. 31.What is the mean of 19, 16, 3, 11, 15 and 8? (a) 14 (b) 12 (c) 13 (d) 11
  32. 32.The mean of 9 numbers is 11. When the number 41 is added to them, what is the new mean? (a) 26 (b) 15 (c) 14 (d) 11
  33. 33.What is the median of 7, 28, 12, 14, 25, 9 and 31? (a) 14 (b) 18 (c) 12 (d) 25
  34. 34.What is the mode of 5, 1, 5, 10, 10, 18 and 10? (a) 5 (b) 1 (c) 18 (d) 10
  35. 35.What is the mode of 8, 8, 15, 8, 15, 4 and 7? (a) 4 (b) 7 (c) 15 (d) 8
  36. 36.The mean of 6 numbers is 34. When the number 13 is added to them, what is the new mean? (a) 30 (b) 32 (c) 34 (d) 31
  37. 37.What is the mode of 6, 6, 1, 2, 1, 9 and 1? (a) 6 (b) 1 (c) 9 (d) 2
  38. 38.What is the mean of 13, 18, 7, 2 and 15? (a) 11 (b) 12 (c) 10 (d) 13
  39. 39.What is the mode of 9, 12, 18, 9, 4, 9 and 4? (a) 9 (b) 12 (c) 4 (d) 18
  40. 40.What is the median of 22, 30, 9, 8, 24, 20 and 2? (a) 9 (b) 22 (c) 20 (d) 8

Answer key

  1. 19
  2. 10
  3. 11
  4. 28
  5. 32
  6. 18
  7. 20
  8. 4
  9. 28
  10. 3
  11. 20
  12. 10
  13. 10
  14. 11
  15. 10
  16. 5
  17. 3
  18. 11
  19. 44
  20. 10
  21. 34
  22. 15
  23. 32
  24. 13
  25. 6
  26. 3
  27. 9
  28. 24
  29. 13
  30. 14
  31. 12
  32. 14
  33. 14
  34. 10
  35. 8
  36. 31
  37. 1
  38. 11
  39. 9
  40. 20

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