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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 61 · 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 mean of 15, 19, 15 and 15? (a) 17 (b) 16 (c) 15 (d) 18
  2. 2.The mean of 9 numbers is 36. When the number 6 is added to them, what is the new mean? (a) 36 (b) 34 (c) 21 (d) 33
  3. 3.What is the mean of 15, 13, 5 and 15? (a) 16 (b) 11 (c) 12 (d) 13
  4. 4.What is the median of 2, 14, 25, 10 and 28? (a) 14 (b) 15 (c) 10 (d) 25
  5. 5.What is the mode of 20, 17, 2, 2, 7, 17 and 17? (a) 2 (b) 20 (c) 7 (d) 17
  6. 6.What is the median of 21, 8, 19, 27 and 11? (a) 21 (b) 11 (c) 19 (d) 20
  7. 7.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 10 (b) 8 (c) 9 (d) 11
  8. 8.What is the mode of 17, 20, 20, 9, 9, 6 and 20? (a) 20 (b) 17 (c) 6 (d) 9
  9. 9.What is the mean of 17, 19, 16, 14, 7 and 17? (a) 14 (b) 18 (c) 15 (d) 16
  10. 10.What is the mean of 5, 12, 15 and 4? (a) 8 (b) 10 (c) 12 (d) 9
  11. 11.What is the mode of 6, 9, 8, 9, 5, 8 and 8? (a) 5 (b) 6 (c) 8 (d) 9
  12. 12.What is the median of 6, 35, 33, 4, 26, 14 and 3? (a) 6 (b) 14 (c) 4 (d) 26
  13. 13.What is the mean of 15, 16, 6, 11 and 12? (a) 15 (b) 12 (c) 13 (d) 10
  14. 14.What is the median of 17, 16, 10, 18 and 29? (a) 18 (b) 10 (c) 17 (d) 16
  15. 15.What is the median of 1, 7, 32, 2, 8, 36 and 22? (a) 2 (b) 22 (c) 8 (d) 7
  16. 16.The mean of 9 numbers is 13. When the number 43 is added to them, what is the new mean? (a) 13 (b) 17 (c) 16 (d) 28
  17. 17.What is the median of 7, 18, 29, 31, 6, 24 and 39? (a) 31 (b) 24 (c) 29 (d) 22
  18. 18.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 39 (b) 41 (c) 45 (d) 42
  19. 19.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 21 (b) 25 (c) 29 (d) 26
  20. 20.What is the mean of 4, 4, 2, 8, 12 and 6? (a) 8 (b) 6 (c) 7 (d) 5
  21. 21.What is the mode of 10, 4, 12, 12, 10, 12 and 11? (a) 4 (b) 11 (c) 10 (d) 12
  22. 22.What is the median of 21, 18, 6, 9 and 20? (a) 6 (b) 20 (c) 9 (d) 18
  23. 23.What is the mean of 14, 6, 20 and 16? (a) 15 (b) 13 (c) 14 (d) 16
  24. 24.The mean of 5 numbers is 22. When the number 28 is added to them, what is the new mean? (a) 23 (b) 24 (c) 22 (d) 25
  25. 25.The mean of 8 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 35 (b) 34 (c) 26 (d) 33
  26. 26.What is the median of 2, 18, 38, 35, 7, 15 and 20? (a) 15 (b) 35 (c) 20 (d) 18
  27. 27.What is the mode of 2, 4, 2, 5, 7, 2 and 4? (a) 4 (b) 2 (c) 7 (d) 5
  28. 28.What is the mode of 1, 12, 6, 10, 10, 10 and 1? (a) 12 (b) 6 (c) 10 (d) 1
  29. 29.What is the median of 6, 14, 18, 22, 8, 16 and 10? (a) 10 (b) 22 (c) 16 (d) 14
  30. 30.What is the mode of 4, 3, 1, 3, 3, 10 and 10? (a) 3 (b) 1 (c) 4 (d) 10
  31. 31.The mean of 7 numbers is 36. When the number 44 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 40
  32. 32.What is the median of 19, 2, 22, 35 and 9? (a) 9 (b) 20 (c) 19 (d) 22
  33. 33.What is the mean of 8, 10, 13, 11 and 18? (a) 12 (b) 10 (c) 15 (d) 13
  34. 34.What is the median of 26, 31, 34, 11 and 39? (a) 32 (b) 26 (c) 31 (d) 34
  35. 35.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 27 (b) 34 (c) 37 (d) 33
  36. 36.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 21 (b) 24 (c) 20 (d) 16
  37. 37.What is the mode of 13, 3, 13, 12, 2, 12 and 12? (a) 2 (b) 13 (c) 3 (d) 12
  38. 38.What is the median of 4, 19, 15, 25 and 32? (a) 15 (b) 20 (c) 25 (d) 19
  39. 39.The mean of 8 numbers is 38. When the number 29 is added to them, what is the new mean? (a) 38 (b) 36 (c) 39 (d) 37
  40. 40.What is the mean of 4, 3, 4, 5, 9 and 23? (a) 9 (b) 8 (c) 7 (d) 10

Answer key

  1. 16
  2. 33
  3. 12
  4. 14
  5. 17
  6. 19
  7. 9
  8. 20
  9. 15
  10. 9
  11. 8
  12. 14
  13. 12
  14. 17
  15. 8
  16. 16
  17. 24
  18. 41
  19. 25
  20. 6
  21. 12
  22. 18
  23. 14
  24. 23
  25. 33
  26. 18
  27. 2
  28. 10
  29. 14
  30. 3
  31. 37
  32. 19
  33. 12
  34. 31
  35. 33
  36. 20
  37. 12
  38. 19
  39. 37
  40. 8

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