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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 105 · 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 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 20 (b) 15 (c) 17 (d) 18
  2. 2.What is the median of 33, 5, 36, 9 and 22? (a) 33 (b) 21 (c) 22 (d) 36
  3. 3.What is the mode of 2, 16, 16, 18, 15, 18 and 18? (a) 2 (b) 15 (c) 16 (d) 18
  4. 4.What is the mean of 17, 13, 3, 10 and 22? (a) 13 (b) 15 (c) 12 (d) 14
  5. 5.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 17
  6. 6.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 35 (b) 34 (c) 32 (d) 36
  7. 7.What is the mode of 20, 2, 18, 20, 17, 18 and 20? (a) 17 (b) 2 (c) 20 (d) 18
  8. 8.What is the mean of 18, 15, 19, 4 and 14? (a) 13 (b) 15 (c) 16 (d) 14
  9. 9.What is the median of 37, 33, 21, 2, 29, 11 and 16? (a) 29 (b) 2 (c) 16 (d) 21
  10. 10.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) 12 (d) 13
  11. 11.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 19
  12. 12.The mean of 9 numbers is 19. When the number 59 is added to them, what is the new mean? (a) 23 (b) 19 (c) 39 (d) 24
  13. 13.What is the mean of 3, 15, 7 and 19? (a) 10 (b) 11 (c) 13 (d) 12
  14. 14.What is the mean of 12, 16, 6, 17 and 9? (a) 12 (b) 13 (c) 15 (d) 10
  15. 15.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 14 (b) 12 (c) 11 (d) 8
  16. 16.What is the mean of 12, 14, 11, 12 and 21? (a) 13 (b) 15 (c) 14 (d) 16
  17. 17.The mean of 6 numbers is 18. When the number 4 is added to them, what is the new mean? (a) 11 (b) 18 (c) 17 (d) 16
  18. 18.What is the median of 34, 24, 40, 10 and 36? (a) 40 (b) 24 (c) 34 (d) 36
  19. 19.What is the mean of 4, 12, 2 and 18? (a) 12 (b) 9 (c) 8 (d) 10
  20. 20.What is the median of 25, 36, 3, 4 and 1? (a) 25 (b) 5 (c) 4 (d) 3
  21. 21.What is the mode of 6, 11, 6, 15, 11, 4 and 11? (a) 6 (b) 4 (c) 15 (d) 11
  22. 22.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 37 (b) 36 (c) 35 (d) 34
  23. 23.What is the median of 4, 9, 38, 21, 22, 40 and 10? (a) 20 (b) 21 (c) 22 (d) 10
  24. 24.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 21 (b) 20 (c) 30 (d) 16
  25. 25.What is the mean of 7, 13, 3, 10, 8 and 13? (a) 8 (b) 11 (c) 9 (d) 10
  26. 26.What is the median of 36, 3, 32, 34 and 13? (a) 13 (b) 32 (c) 34 (d) 33
  27. 27.What is the mode of 9, 6, 20, 20, 9, 20 and 14? (a) 14 (b) 20 (c) 6 (d) 9
  28. 28.What is the mode of 8, 8, 9, 14, 8, 1 and 9? (a) 9 (b) 1 (c) 14 (d) 8
  29. 29.What is the median of 14, 33, 6, 31, 10, 28 and 7? (a) 31 (b) 14 (c) 10 (d) 28
  30. 30.What is the median of 39, 24, 12, 4, 26, 11 and 34? (a) 26 (b) 24 (c) 12 (d) 4
  31. 31.What is the mode of 5, 11, 5, 20, 13, 13 and 5? (a) 5 (b) 20 (c) 13 (d) 11
  32. 32.What is the mean of 3, 9, 15, 18, 14 and 13? (a) 13 (b) 12 (c) 14 (d) 11
  33. 33.What is the mean of 20, 3, 7, 3 and 7? (a) 8 (b) 7 (c) 10 (d) 9
  34. 34.What is the median of 28, 23, 40, 20, 5, 30 and 9? (a) 28 (b) 20 (c) 23 (d) 24
  35. 35.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 24 (b) 16 (c) 23 (d) 25
  36. 36.What is the median of 7, 14, 8, 38 and 25? (a) 14 (b) 25 (c) 8 (d) 15
  37. 37.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 14 (b) 12 (c) 13 (d) 11
  38. 38.What is the mean of 15, 2, 15, 15, 16 and 9? (a) 12 (b) 14 (c) 11 (d) 13
  39. 39.What is the mean of 14, 7, 20 and 7? (a) 16 (b) 11 (c) 12 (d) 13
  40. 40.The mean of 7 numbers is 29. When the number 13 is added to them, what is the new mean? (a) 29 (b) 28 (c) 21 (d) 27

Answer key

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

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