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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 343 · 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.What is the mean of 10, 4, 15 and 7? (a) 10 (b) 9 (c) 12 (d) 8
  2. 2.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 17
  3. 3.What is the mode of 12, 15, 7, 7, 1, 12 and 12? (a) 15 (b) 12 (c) 1 (d) 7
  4. 4.What is the median of 35, 11, 33, 9, 24, 6 and 21? (a) 11 (b) 24 (c) 21 (d) 9
  5. 5.What is the mode of 1, 12, 1, 1, 5, 5 and 2? (a) 1 (b) 12 (c) 5 (d) 2
  6. 6.What is the mean of 2, 14, 14 and 10? (a) 8 (b) 9 (c) 11 (d) 10
  7. 7.The mean of 3 numbers is 20. When the number 24 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 21
  8. 8.What is the mean of 16, 12, 18 and 18? (a) 18 (b) 15 (c) 16 (d) 17
  9. 9.The mean of 8 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 19 (b) 21 (c) 22 (d) 28
  10. 10.The mean of 5 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 17 (b) 21 (c) 29 (d) 22
  11. 11.What is the mean of 3, 5, 13, 15 and 4? (a) 10 (b) 9 (c) 7 (d) 8
  12. 12.What is the median of 4, 39, 26, 21, 20, 18 and 23? (a) 23 (b) 20 (c) 22 (d) 21
  13. 13.What is the median of 8, 35, 16, 12 and 13? (a) 12 (b) 14 (c) 13 (d) 16
  14. 14.What is the mean of 13, 2, 18 and 19? (a) 14 (b) 15 (c) 13 (d) 12
  15. 15.What is the median of 8, 14, 13, 11 and 2? (a) 13 (b) 11 (c) 12 (d) 8
  16. 16.What is the mean of 20, 4, 16 and 20? (a) 20 (b) 15 (c) 16 (d) 12
  17. 17.What is the mean of 12, 8, 12 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  18. 18.What is the mode of 11, 20, 10, 12, 20, 11 and 11? (a) 10 (b) 20 (c) 12 (d) 11
  19. 19.What is the mean of 18, 13, 8, 20 and 21? (a) 16 (b) 17 (c) 20 (d) 15
  20. 20.What is the median of 38, 34, 9, 22 and 4? (a) 34 (b) 22 (c) 9 (d) 23
  21. 21.What is the mode of 2, 5, 16, 16, 5, 3 and 5? (a) 3 (b) 5 (c) 16 (d) 2
  22. 22.The mean of 4 numbers is 14. When the number 29 is added to them, what is the new mean? (a) 14 (b) 18 (c) 16 (d) 17
  23. 23.What is the median of 1, 3, 16, 4 and 8? (a) 8 (b) 16 (c) 3 (d) 4
  24. 24.The mean of 3 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 37 (b) 35 (c) 38 (d) 39
  25. 25.What is the mode of 9, 13, 3, 12, 9, 3 and 9? (a) 9 (b) 3 (c) 13 (d) 12
  26. 26.What is the mean of 8, 11, 10, 15 and 11? (a) 12 (b) 13 (c) 11 (d) 10
  27. 27.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 33 (b) 28 (c) 44 (d) 32
  28. 28.What is the mean of 12, 20, 3, 4, 5 and 10? (a) 8 (b) 10 (c) 11 (d) 9
  29. 29.What is the mode of 17, 20, 8, 17, 11, 17 and 8? (a) 17 (b) 11 (c) 8 (d) 20
  30. 30.The mean of 5 numbers is 14. When the number 8 is added to them, what is the new mean? (a) 11 (b) 13 (c) 14 (d) 12
  31. 31.What is the mean of 13, 2, 17, 7 and 11? (a) 10 (b) 12 (c) 11 (d) 9
  32. 32.What is the median of 4, 11, 23, 33 and 25? (a) 25 (b) 23 (c) 11 (d) 24
  33. 33.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 10
  34. 34.What is the mean of 11, 11, 12, 7, 14 and 5? (a) 10 (b) 9 (c) 12 (d) 11
  35. 35.What is the median of 4, 7, 34, 40 and 33? (a) 32 (b) 7 (c) 33 (d) 34
  36. 36.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 27
  37. 37.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 25 (b) 23 (c) 21 (d) 24
  38. 38.What is the mode of 1, 13, 4, 8, 1, 1 and 13? (a) 1 (b) 8 (c) 13 (d) 4
  39. 39.The mean of 5 numbers is 12. When the number 6 is added to them, what is the new mean? (a) 11 (b) 12 (c) 10 (d) 9
  40. 40.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 11 (b) 12 (c) 10 (d) 7

Answer key

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

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