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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 326 · 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 6, 31, 10, 18 and 27? (a) 18 (b) 19 (c) 10 (d) 27
  2. 2.The mean of 3 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 11 (b) 19 (c) 16 (d) 15
  3. 3.What is the mean of 18, 3, 11 and 4? (a) 12 (b) 9 (c) 10 (d) 8
  4. 4.What is the median of 33, 17, 38, 39 and 35? (a) 38 (b) 36 (c) 33 (d) 35
  5. 5.What is the mean of 3, 2, 16 and 3? (a) 5 (b) 7 (c) 8 (d) 6
  6. 6.What is the mode of 14, 19, 6, 13, 19, 13 and 19? (a) 19 (b) 6 (c) 13 (d) 14
  7. 7.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 15 (b) 13 (c) 14 (d) 16
  8. 8.The mean of 6 numbers is 17. When the number 24 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 20
  9. 9.What is the median of 15, 10, 14, 2 and 12? (a) 12 (b) 14 (c) 13 (d) 10
  10. 10.What is the median of 24, 22, 23, 5, 28, 4 and 2? (a) 23 (b) 5 (c) 22 (d) 21
  11. 11.The mean of 5 numbers is 24. When the number 48 is added to them, what is the new mean? (a) 28 (b) 24 (c) 36 (d) 29
  12. 12.The mean of 3 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 34 (b) 33 (c) 30 (d) 36
  13. 13.What is the mode of 16, 16, 11, 3, 6, 6 and 6? (a) 3 (b) 6 (c) 16 (d) 11
  14. 14.The mean of 7 numbers is 24. When the number 56 is added to them, what is the new mean? (a) 28 (b) 29 (c) 24 (d) 40
  15. 15.What is the mean of 10, 14, 8 and 4? (a) 10 (b) 8 (c) 9 (d) 12
  16. 16.What is the median of 23, 18, 7, 36, 29, 35 and 6? (a) 36 (b) 22 (c) 23 (d) 29
  17. 17.What is the mode of 11, 10, 16, 1, 10, 11 and 10? (a) 10 (b) 1 (c) 11 (d) 16
  18. 18.What is the mode of 1, 18, 18, 11, 15, 15 and 15? (a) 1 (b) 15 (c) 11 (d) 18
  19. 19.The mean of 3 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 37 (b) 41 (c) 40 (d) 39
  20. 20.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 19
  21. 21.What is the mean of 14, 20, 6, 3, 14 and 21? (a) 15 (b) 14 (c) 13 (d) 12
  22. 22.What is the median of 40, 27, 10, 17 and 23? (a) 27 (b) 23 (c) 17 (d) 10
  23. 23.What is the median of 18, 19, 21, 23 and 35? (a) 22 (b) 19 (c) 23 (d) 21
  24. 24.The mean of 8 numbers is 34. When the number 61 is added to them, what is the new mean? (a) 36 (b) 34 (c) 38 (d) 37
  25. 25.What is the median of 25, 35, 37, 24, 1, 26 and 6? (a) 22 (b) 24 (c) 26 (d) 25
  26. 26.What is the mode of 10, 10, 4, 16, 10, 16 and 3? (a) 4 (b) 16 (c) 3 (d) 10
  27. 27.The mean of 6 numbers is 28. When the number 42 is added to them, what is the new mean? (a) 30 (b) 35 (c) 28 (d) 31
  28. 28.What is the mode of 1, 1, 6, 6, 3, 6 and 14? (a) 1 (b) 6 (c) 14 (d) 3
  29. 29.What is the mean of 16, 6, 10 and 8? (a) 10 (b) 8 (c) 9 (d) 11
  30. 30.What is the mean of 7, 4, 9, 13, 16 and 5? (a) 11 (b) 8 (c) 9 (d) 10
  31. 31.What is the median of 10, 20, 7, 26 and 34? (a) 10 (b) 26 (c) 20 (d) 7
  32. 32.What is the median of 31, 27, 26, 6, 17, 2 and 18? (a) 26 (b) 18 (c) 6 (d) 17
  33. 33.What is the mean of 6, 9, 16, 7, 18 and 4? (a) 10 (b) 11 (c) 9 (d) 12
  34. 34.What is the mode of 13, 1, 13, 6, 1, 12 and 1? (a) 13 (b) 6 (c) 12 (d) 1
  35. 35.What is the mean of 8, 15, 11, 10, 7 and 15? (a) 12 (b) 13 (c) 10 (d) 11
  36. 36.What is the mode of 2, 14, 2, 14, 13, 4 and 2? (a) 4 (b) 13 (c) 2 (d) 14
  37. 37.What is the mode of 4, 9, 4, 9, 16, 17 and 9? (a) 17 (b) 16 (c) 4 (d) 9
  38. 38.What is the mode of 9, 10, 13, 16, 13, 13 and 10? (a) 9 (b) 16 (c) 10 (d) 13
  39. 39.What is the mode of 2, 6, 9, 9, 6, 9 and 7? (a) 6 (b) 2 (c) 9 (d) 7
  40. 40.What is the median of 25, 3, 26, 35, 23, 31 and 21? (a) 35 (b) 26 (c) 23 (d) 25

Answer key

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

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