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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 212 · 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 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 21 (b) 15 (c) 22 (d) 24
  2. 2.What is the mean of 8, 18, 4, 12 and 13? (a) 11 (b) 13 (c) 12 (d) 10
  3. 3.What is the mean of 16, 12, 4 and 16? (a) 13 (b) 12 (c) 11 (d) 16
  4. 4.What is the median of 8, 32, 40, 9, 5, 7 and 2? (a) 9 (b) 7 (c) 10 (d) 8
  5. 5.The mean of 3 numbers is 26. When the number 14 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 20
  6. 6.The mean of 3 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 31 (b) 35 (c) 27 (d) 32
  7. 7.What is the mode of 6, 6, 4, 7, 6, 2 and 7? (a) 4 (b) 7 (c) 6 (d) 2
  8. 8.The mean of 4 numbers is 20. When the number 35 is added to them, what is the new mean? (a) 20 (b) 24 (c) 22 (d) 23
  9. 9.What is the mean of 2, 10, 5, 11, 18 and 8? (a) 8 (b) 11 (c) 9 (d) 10
  10. 10.What is the mean of 11, 2, 15, 9 and 18? (a) 11 (b) 12 (c) 13 (d) 10
  11. 11.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 18
  12. 12.What is the mean of 8, 6, 16, 5 and 20? (a) 13 (b) 11 (c) 10 (d) 12
  13. 13.What is the median of 8, 2, 17, 3 and 38? (a) 3 (b) 17 (c) 9 (d) 8
  14. 14.What is the mode of 4, 3, 19, 4, 8, 4 and 3? (a) 3 (b) 19 (c) 8 (d) 4
  15. 15.What is the mode of 10, 12, 20, 15, 15, 15 and 12? (a) 20 (b) 10 (c) 15 (d) 12
  16. 16.What is the mean of 16, 6, 4 and 10? (a) 12 (b) 9 (c) 8 (d) 10
  17. 17.What is the mode of 5, 11, 5, 7, 7, 12 and 7? (a) 7 (b) 11 (c) 5 (d) 12
  18. 18.What is the median of 8, 11, 36, 5 and 2? (a) 36 (b) 5 (c) 11 (d) 8
  19. 19.What is the mode of 16, 1, 1, 16, 17, 16 and 7? (a) 1 (b) 17 (c) 7 (d) 16
  20. 20.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 17 (b) 14 (c) 18 (d) 16
  21. 21.What is the mode of 8, 2, 19, 2, 18, 19 and 19? (a) 8 (b) 18 (c) 2 (d) 19
  22. 22.What is the mean of 3, 6, 8, 5 and 13? (a) 8 (b) 9 (c) 6 (d) 7
  23. 23.What is the median of 9, 7, 18, 33 and 35? (a) 9 (b) 33 (c) 19 (d) 18
  24. 24.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 17 (b) 15 (c) 13 (d) 14
  25. 25.What is the mean of 11, 15, 14 and 12? (a) 15 (b) 14 (c) 12 (d) 13
  26. 26.What is the mean of 19, 8, 7, 2, 3 and 9? (a) 10 (b) 8 (c) 7 (d) 9
  27. 27.The mean of 4 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 24 (b) 29 (c) 28 (d) 27
  28. 28.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 42 (b) 47 (c) 43 (d) 40
  29. 29.What is the mean of 4, 20, 10 and 6? (a) 9 (b) 10 (c) 8 (d) 11
  30. 30.What is the mean of 11, 4, 14, 19 and 7? (a) 13 (b) 11 (c) 10 (d) 12
  31. 31.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 24 (b) 23 (c) 21 (d) 29
  32. 32.The mean of 7 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 23 (b) 20 (c) 19 (d) 21
  33. 33.What is the mode of 2, 15, 4, 18, 2, 2 and 4? (a) 15 (b) 18 (c) 2 (d) 4
  34. 34.What is the mean of 15, 10, 3, 12, 10 and 4? (a) 10 (b) 11 (c) 8 (d) 9
  35. 35.What is the mean of 13, 4, 13 and 10? (a) 11 (b) 9 (c) 8 (d) 10
  36. 36.The mean of 9 numbers is 17. When the number 57 is added to them, what is the new mean? (a) 22 (b) 37 (c) 17 (d) 21
  37. 37.The mean of 6 numbers is 12. When the number 26 is added to them, what is the new mean? (a) 12 (b) 15 (c) 14 (d) 19
  38. 38.What is the median of 24, 32, 38, 27, 4, 36 and 11? (a) 28 (b) 27 (c) 32 (d) 24
  39. 39.What is the mean of 2, 2, 5 and 3? (a) 3 (b) 5 (c) 2 (d) 4
  40. 40.What is the median of 33, 25, 38, 36, 14, 13 and 35? (a) 25 (b) 35 (c) 36 (d) 33

Answer key

  1. 21
  2. 11
  3. 12
  4. 8
  5. 23
  6. 31
  7. 6
  8. 23
  9. 9
  10. 11
  11. 16
  12. 11
  13. 8
  14. 4
  15. 15
  16. 9
  17. 7
  18. 8
  19. 16
  20. 16
  21. 19
  22. 7
  23. 18
  24. 14
  25. 13
  26. 8
  27. 27
  28. 42
  29. 10
  30. 11
  31. 23
  32. 20
  33. 2
  34. 9
  35. 10
  36. 21
  37. 14
  38. 27
  39. 3
  40. 33

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