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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 404 · 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.The mean of 3 numbers is 40. When the number 56 is added to them, what is the new mean? (a) 48 (b) 44 (c) 45 (d) 40
  2. 2.What is the median of 13, 26, 1, 39, 20, 18 and 37? (a) 39 (b) 20 (c) 22 (d) 26
  3. 3.What is the median of 25, 5, 4, 27 and 21? (a) 5 (b) 25 (c) 4 (d) 21
  4. 4.What is the mean of 13, 5, 2, 4, 4 and 14? (a) 8 (b) 7 (c) 9 (d) 6
  5. 5.What is the median of 28, 4, 12, 18, 39, 35 and 38? (a) 18 (b) 28 (c) 35 (d) 29
  6. 6.What is the mean of 2, 2, 2, 5, 9 and 16? (a) 5 (b) 8 (c) 7 (d) 6
  7. 7.What is the mean of 6, 7, 19 and 8? (a) 11 (b) 9 (c) 10 (d) 8
  8. 8.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 20 (b) 24 (c) 21 (d) 19
  9. 9.What is the median of 24, 22, 19, 39, 20, 34 and 30? (a) 22 (b) 30 (c) 24 (d) 39
  10. 10.What is the mode of 4, 4, 5, 7, 16, 5 and 5? (a) 16 (b) 4 (c) 7 (d) 5
  11. 11.What is the median of 28, 4, 16, 5, 18, 8 and 23? (a) 16 (b) 5 (c) 8 (d) 18
  12. 12.What is the mode of 12, 14, 12, 5, 2, 2 and 12? (a) 5 (b) 2 (c) 14 (d) 12
  13. 13.What is the median of 15, 39, 2, 9, 30, 18 and 21? (a) 15 (b) 21 (c) 18 (d) 9
  14. 14.The mean of 7 numbers is 31. When the number 63 is added to them, what is the new mean? (a) 31 (b) 36 (c) 47 (d) 35
  15. 15.What is the mean of 12, 18, 13, 2 and 10? (a) 12 (b) 11 (c) 13 (d) 10
  16. 16.What is the mean of 12, 15, 4, 2 and 22? (a) 13 (b) 12 (c) 10 (d) 11
  17. 17.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 14 (b) 17 (c) 13 (d) 12
  18. 18.What is the median of 10, 8, 33, 34 and 2? (a) 11 (b) 33 (c) 8 (d) 10
  19. 19.What is the mean of 13, 14, 4, 11, 17 and 13? (a) 11 (b) 13 (c) 12 (d) 14
  20. 20.What is the mean of 17, 12, 7, 9 and 15? (a) 13 (b) 15 (c) 12 (d) 10
  21. 21.What is the median of 4, 34, 28, 40, 22, 35 and 1? (a) 22 (b) 34 (c) 40 (d) 28
  22. 22.The mean of 3 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 15 (b) 11 (c) 17 (d) 14
  23. 23.What is the mean of 20, 8, 5 and 7? (a) 8 (b) 11 (c) 9 (d) 10
  24. 24.The mean of 6 numbers is 25. When the number 53 is added to them, what is the new mean? (a) 30 (b) 29 (c) 25 (d) 39
  25. 25.The mean of 3 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 32 (b) 35 (c) 36 (d) 34
  26. 26.What is the mean of 6, 4, 3 and 19? (a) 10 (b) 9 (c) 8 (d) 7
  27. 27.What is the mode of 1, 3, 1, 17, 1, 7 and 3? (a) 17 (b) 7 (c) 1 (d) 3
  28. 28.What is the mean of 16, 3, 7, 8, 3 and 5? (a) 6 (b) 7 (c) 9 (d) 8
  29. 29.What is the median of 23, 35, 11, 14, 16, 40 and 4? (a) 14 (b) 23 (c) 16 (d) 17
  30. 30.What is the mode of 5, 13, 5, 5, 10, 2 and 10? (a) 10 (b) 2 (c) 5 (d) 13
  31. 31.What is the mode of 8, 11, 8, 14, 8, 11 and 1? (a) 8 (b) 14 (c) 11 (d) 1
  32. 32.What is the median of 14, 32, 9, 37 and 1? (a) 15 (b) 14 (c) 32 (d) 9
  33. 33.What is the median of 34, 12, 28, 30 and 38? (a) 28 (b) 30 (c) 34 (d) 31
  34. 34.What is the mean of 10, 6, 16 and 16? (a) 11 (b) 16 (c) 13 (d) 12
  35. 35.What is the median of 32, 29, 13, 20, 12, 24 and 28? (a) 20 (b) 25 (c) 28 (d) 24
  36. 36.What is the mode of 15, 8, 8, 11, 11, 8 and 1? (a) 11 (b) 8 (c) 15 (d) 1
  37. 37.The mean of 8 numbers is 12. When the number 21 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 12
  38. 38.What is the median of 30, 33, 25, 11 and 31? (a) 26 (b) 25 (c) 30 (d) 31
  39. 39.What is the median of 2, 4, 13, 22, 11, 27 and 3? (a) 22 (b) 13 (c) 4 (d) 11
  40. 40.The mean of 7 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 38 (b) 39 (c) 32 (d) 40

Answer key

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

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