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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 111 · 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 27. When the number 19 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 23
  2. 2.What is the mode of 20, 6, 7, 6, 6, 11 and 7? (a) 20 (b) 6 (c) 11 (d) 7
  3. 3.What is the mean of 20, 16, 4, 6, 12 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  4. 4.The mean of 3 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 24 (b) 27 (c) 28 (d) 26
  5. 5.What is the median of 16, 20, 18, 10 and 11? (a) 16 (b) 11 (c) 15 (d) 18
  6. 6.What is the mode of 4, 4, 17, 17, 4, 12 and 2? (a) 2 (b) 12 (c) 17 (d) 4
  7. 7.The mean of 5 numbers is 27. When the number 33 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 29
  8. 8.What is the mean of 18, 19, 13, 3 and 22? (a) 15 (b) 17 (c) 16 (d) 14
  9. 9.What is the median of 20, 30, 2, 27 and 14? (a) 2 (b) 14 (c) 27 (d) 20
  10. 10.What is the mode of 15, 3, 15, 14, 14, 11 and 15? (a) 11 (b) 15 (c) 14 (d) 3
  11. 11.What is the mode of 10, 12, 3, 6, 3, 6 and 6? (a) 3 (b) 10 (c) 12 (d) 6
  12. 12.What is the median of 35, 9, 12, 38, 5, 39 and 23? (a) 12 (b) 38 (c) 35 (d) 23
  13. 13.What is the mean of 3, 4, 16, 11 and 16? (a) 11 (b) 12 (c) 10 (d) 9
  14. 14.What is the mean of 3, 2, 6, 15, 6 and 10? (a) 8 (b) 9 (c) 6 (d) 7
  15. 15.What is the mode of 15, 13, 2, 15, 2, 9 and 2? (a) 9 (b) 15 (c) 13 (d) 2
  16. 16.What is the mean of 2, 8, 15 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  17. 17.What is the median of 1, 8, 17, 13 and 11? (a) 10 (b) 13 (c) 11 (d) 17
  18. 18.The mean of 6 numbers is 23. When the number 51 is added to them, what is the new mean? (a) 28 (b) 37 (c) 27 (d) 23
  19. 19.What is the mean of 3, 4, 11 and 18? (a) 10 (b) 9 (c) 12 (d) 8
  20. 20.What is the mode of 19, 15, 19, 2, 19, 7 and 15? (a) 2 (b) 19 (c) 7 (d) 15
  21. 21.What is the mean of 4, 7, 19, 4, 15 and 5? (a) 8 (b) 10 (c) 11 (d) 9
  22. 22.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 33 (b) 34 (c) 36 (d) 32
  23. 23.What is the median of 10, 27, 6, 25, 9, 39 and 35? (a) 10 (b) 27 (c) 26 (d) 25
  24. 24.What is the mean of 19, 15, 9, 12, 15 and 20? (a) 18 (b) 16 (c) 15 (d) 14
  25. 25.What is the mean of 8, 13, 16 and 15? (a) 12 (b) 13 (c) 14 (d) 15
  26. 26.What is the mode of 19, 19, 14, 14, 3, 19 and 7? (a) 19 (b) 3 (c) 7 (d) 14
  27. 27.The mean of 3 numbers is 38. When the number 30 is added to them, what is the new mean? (a) 36 (b) 34 (c) 37 (d) 38
  28. 28.The mean of 4 numbers is 32. When the number 27 is added to them, what is the new mean? (a) 33 (b) 32 (c) 31 (d) 30
  29. 29.The mean of 4 numbers is 17. When the number 32 is added to them, what is the new mean? (a) 20 (b) 17 (c) 19 (d) 21
  30. 30.What is the mean of 15, 7, 17, 15 and 21? (a) 17 (b) 15 (c) 16 (d) 14
  31. 31.What is the mode of 8, 8, 10, 10, 15, 12 and 10? (a) 10 (b) 12 (c) 8 (d) 15
  32. 32.What is the mean of 3, 2, 19 and 12? (a) 8 (b) 10 (c) 9 (d) 12
  33. 33.What is the mode of 13, 11, 11, 4, 11, 13 and 15? (a) 11 (b) 4 (c) 13 (d) 15
  34. 34.The mean of 9 numbers is 34. When the number 44 is added to them, what is the new mean? (a) 36 (b) 39 (c) 34 (d) 35
  35. 35.What is the mode of 14, 9, 14, 9, 19, 2 and 9? (a) 2 (b) 14 (c) 9 (d) 19
  36. 36.What is the mean of 7, 2, 7, 17 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  37. 37.What is the mean of 19, 17, 6, 2 and 11? (a) 10 (b) 13 (c) 11 (d) 12
  38. 38.The mean of 4 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 17 (b) 14 (c) 15 (d) 12
  39. 39.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 17 (b) 21 (c) 22 (d) 20
  40. 40.What is the mean of 13, 7, 19, 4 and 7? (a) 9 (b) 12 (c) 11 (d) 10

Answer key

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

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