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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 169 · 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 37, 8, 7, 4 and 10? (a) 7 (b) 8 (c) 10 (d) 9
  2. 2.What is the median of 33, 20, 1, 36, 29, 23 and 15? (a) 23 (b) 20 (c) 29 (d) 36
  3. 3.What is the median of 1, 15, 25, 11 and 19? (a) 25 (b) 15 (c) 11 (d) 19
  4. 4.The mean of 8 numbers is 39. When the number 48 is added to them, what is the new mean? (a) 41 (b) 42 (c) 40 (d) 39
  5. 5.What is the median of 40, 5, 32, 18 and 33? (a) 32 (b) 31 (c) 33 (d) 18
  6. 6.What is the mean of 12, 12, 12 and 8? (a) 11 (b) 13 (c) 12 (d) 10
  7. 7.What is the median of 18, 2, 3, 5 and 23? (a) 6 (b) 5 (c) 3 (d) 18
  8. 8.What is the median of 18, 19, 35, 33 and 38? (a) 19 (b) 34 (c) 35 (d) 33
  9. 9.What is the mean of 4, 18, 16 and 14? (a) 12 (b) 15 (c) 14 (d) 13
  10. 10.What is the mode of 6, 12, 18, 20, 12, 20 and 12? (a) 6 (b) 20 (c) 12 (d) 18
  11. 11.What is the median of 28, 30, 39, 29 and 2? (a) 30 (b) 39 (c) 29 (d) 28
  12. 12.The mean of 9 numbers is 40. When the number 10 is added to them, what is the new mean? (a) 37 (b) 40 (c) 38 (d) 25
  13. 13.What is the mean of 6, 5, 15, 14 and 10? (a) 11 (b) 12 (c) 10 (d) 9
  14. 14.What is the mean of 19, 14, 19 and 20? (a) 17 (b) 19 (c) 18 (d) 24
  15. 15.What is the median of 35, 4, 29, 13 and 31? (a) 30 (b) 13 (c) 29 (d) 31
  16. 16.What is the mode of 11, 7, 11, 11, 5, 5 and 4? (a) 5 (b) 7 (c) 4 (d) 11
  17. 17.The mean of 4 numbers is 36. When the number 41 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 36
  18. 18.What is the mode of 4, 10, 4, 10, 17, 10 and 9? (a) 4 (b) 17 (c) 9 (d) 10
  19. 19.The mean of 5 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 49 (b) 37 (c) 42 (d) 41
  20. 20.What is the median of 25, 28, 13, 31 and 35? (a) 31 (b) 25 (c) 13 (d) 28
  21. 21.What is the median of 2, 8, 4, 36, 19, 23 and 34? (a) 36 (b) 18 (c) 19 (d) 23
  22. 22.What is the mean of 4, 4, 3, 18, 10 and 15? (a) 10 (b) 9 (c) 8 (d) 11
  23. 23.What is the mean of 19, 8, 5 and 8? (a) 10 (b) 8 (c) 9 (d) 11
  24. 24.What is the mode of 1, 1, 5, 6, 3, 1 and 3? (a) 6 (b) 1 (c) 5 (d) 3
  25. 25.What is the mean of 17, 9, 15 and 7? (a) 16 (b) 12 (c) 13 (d) 11
  26. 26.What is the mean of 4, 15, 3 and 2? (a) 6 (b) 5 (c) 7 (d) 8
  27. 27.The mean of 5 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 13 (b) 12 (c) 8 (d) 14
  28. 28.What is the median of 23, 12, 35, 40, 27, 6 and 38? (a) 27 (b) 35 (c) 23 (d) 40
  29. 29.What is the mean of 5, 19, 19, 6, 18 and 11? (a) 12 (b) 13 (c) 15 (d) 14
  30. 30.What is the mode of 3, 3, 18, 2, 3, 12 and 2? (a) 18 (b) 2 (c) 3 (d) 12
  31. 31.What is the median of 1, 25, 37, 32 and 39? (a) 33 (b) 37 (c) 32 (d) 25
  32. 32.What is the median of 11, 35, 19, 13 and 28? (a) 20 (b) 19 (c) 13 (d) 28
  33. 33.The mean of 9 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 28 (b) 36 (c) 37 (d) 38
  34. 34.What is the median of 6, 20, 15, 36 and 23? (a) 15 (b) 20 (c) 21 (d) 23
  35. 35.What is the median of 14, 13, 6, 8, 38, 22 and 16? (a) 8 (b) 16 (c) 14 (d) 13
  36. 36.What is the median of 9, 4, 35, 7 and 27? (a) 35 (b) 27 (c) 7 (d) 9
  37. 37.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 13
  38. 38.What is the mean of 7, 14, 9, 20, 13 and 15? (a) 12 (b) 14 (c) 15 (d) 13
  39. 39.What is the median of 12, 32, 7, 20 and 26? (a) 26 (b) 7 (c) 20 (d) 12
  40. 40.What is the mean of 8, 4, 18, 4, 18 and 20? (a) 12 (b) 14 (c) 11 (d) 13

Answer key

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

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