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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 348 · 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 24. When the number 16 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 20
  2. 2.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 20 (b) 25 (c) 30 (d) 24
  3. 3.The mean of 3 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 27 (b) 23 (c) 29 (d) 26
  4. 4.The mean of 3 numbers is 35. When the number 39 is added to them, what is the new mean? (a) 35 (b) 36 (c) 38 (d) 37
  5. 5.What is the mode of 3, 3, 4, 2, 3, 13 and 4? (a) 13 (b) 3 (c) 2 (d) 4
  6. 6.What is the mean of 15, 2, 5, 20 and 3? (a) 11 (b) 10 (c) 8 (d) 9
  7. 7.What is the mean of 5, 20, 17 and 14? (a) 16 (b) 14 (c) 15 (d) 13
  8. 8.The mean of 3 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 20 (b) 23 (c) 19 (d) 15
  9. 9.What is the mean of 20, 18, 11 and 15? (a) 15 (b) 18 (c) 17 (d) 16
  10. 10.What is the mode of 14, 20, 14, 16, 14, 5 and 20? (a) 20 (b) 16 (c) 5 (d) 14
  11. 11.The mean of 9 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 17 (b) 18 (c) 14 (d) 19
  12. 12.The mean of 6 numbers is 36. When the number 64 is added to them, what is the new mean? (a) 50 (b) 41 (c) 36 (d) 40
  13. 13.The mean of 3 numbers is 29. When the number 33 is added to them, what is the new mean? (a) 29 (b) 31 (c) 32 (d) 30
  14. 14.What is the median of 5, 37, 21, 1, 16, 33 and 24? (a) 16 (b) 21 (c) 24 (d) 1
  15. 15.What is the mean of 17, 4, 3, 8, 10 and 6? (a) 7 (b) 9 (c) 8 (d) 10
  16. 16.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 22 (b) 19 (c) 23 (d) 28
  17. 17.What is the mean of 6, 9, 15 and 14? (a) 10 (b) 13 (c) 12 (d) 11
  18. 18.What is the mode of 1, 4, 1, 14, 4, 12 and 4? (a) 4 (b) 12 (c) 14 (d) 1
  19. 19.The mean of 5 numbers is 28. When the number 10 is added to them, what is the new mean? (a) 28 (b) 25 (c) 19 (d) 26
  20. 20.What is the mode of 10, 11, 9, 8, 9, 11 and 11? (a) 9 (b) 8 (c) 10 (d) 11
  21. 21.The mean of 6 numbers is 13. When the number 20 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 13
  22. 22.What is the mode of 12, 3, 3, 10, 3, 12 and 9? (a) 12 (b) 3 (c) 10 (d) 9
  23. 23.What is the median of 10, 20, 19, 16 and 8? (a) 19 (b) 10 (c) 17 (d) 16
  24. 24.What is the median of 9, 30, 2, 21, 20, 29 and 34? (a) 21 (b) 29 (c) 20 (d) 22
  25. 25.What is the mode of 2, 17, 13, 13, 17, 13 and 19? (a) 19 (b) 2 (c) 17 (d) 13
  26. 26.What is the mode of 14, 20, 20, 19, 20, 14 and 11? (a) 19 (b) 20 (c) 11 (d) 14
  27. 27.What is the mean of 20, 14, 3, 4 and 19? (a) 10 (b) 15 (c) 12 (d) 13
  28. 28.What is the median of 5, 12, 19, 15, 40, 25 and 26? (a) 15 (b) 19 (c) 25 (d) 20
  29. 29.What is the median of 30, 10, 34, 33 and 35? (a) 33 (b) 30 (c) 32 (d) 34
  30. 30.The mean of 6 numbers is 26. When the number 5 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 26
  31. 31.The mean of 9 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 25 (b) 26 (c) 16 (d) 24
  32. 32.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 7 (b) 10 (c) 12 (d) 11
  33. 33.What is the mode of 16, 11, 6, 6, 10, 16 and 16? (a) 6 (b) 11 (c) 10 (d) 16
  34. 34.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 19 (b) 18 (c) 20 (d) 17
  35. 35.What is the mode of 5, 5, 12, 12, 5, 14 and 9? (a) 9 (b) 14 (c) 5 (d) 12
  36. 36.What is the median of 2, 37, 3, 17 and 28? (a) 18 (b) 17 (c) 3 (d) 28
  37. 37.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 27 (b) 26 (c) 25 (d) 29
  38. 38.What is the median of 26, 14, 37, 12 and 6? (a) 26 (b) 14 (c) 19 (d) 37
  39. 39.What is the mode of 3, 18, 3, 9, 3, 1 and 18? (a) 18 (b) 9 (c) 3 (d) 1
  40. 40.What is the median of 16, 4, 26, 29 and 34? (a) 27 (b) 29 (c) 16 (d) 26

Answer key

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

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