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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 27 · 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 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 23 (b) 16 (c) 25 (d) 24
  2. 2.What is the mean of 11, 2, 16, 19 and 2? (a) 9 (b) 12 (c) 11 (d) 10
  3. 3.The mean of 5 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 41 (b) 37 (c) 46 (d) 40
  4. 4.What is the mode of 19, 9, 16, 9, 7, 16 and 16? (a) 19 (b) 16 (c) 7 (d) 9
  5. 5.What is the mode of 18, 15, 5, 18, 10, 18 and 15? (a) 10 (b) 15 (c) 18 (d) 5
  6. 6.What is the median of 13, 4, 12, 37, 27, 19 and 30? (a) 19 (b) 27 (c) 13 (d) 37
  7. 7.The mean of 8 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 14
  8. 8.What is the mode of 18, 13, 3, 6, 13, 6 and 6? (a) 3 (b) 18 (c) 6 (d) 13
  9. 9.What is the mode of 16, 2, 17, 2, 16, 2 and 15? (a) 2 (b) 15 (c) 17 (d) 16
  10. 10.What is the median of 22, 21, 20, 33, 18, 16 and 10? (a) 20 (b) 33 (c) 21 (d) 18
  11. 11.What is the mean of 2, 2, 18 and 10? (a) 10 (b) 7 (c) 9 (d) 8
  12. 12.The mean of 8 numbers is 38. When the number 11 is added to them, what is the new mean? (a) 38 (b) 35 (c) 34 (d) 36
  13. 13.What is the median of 21, 26, 4, 13 and 2? (a) 13 (b) 4 (c) 21 (d) 14
  14. 14.What is the mean of 3, 20, 6, 10, 4 and 23? (a) 11 (b) 12 (c) 10 (d) 13
  15. 15.The mean of 3 numbers is 22. When the number 18 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 21
  16. 16.What is the mode of 12, 10, 9, 18, 10, 12 and 10? (a) 12 (b) 10 (c) 18 (d) 9
  17. 17.What is the mean of 19, 16, 17 and 8? (a) 12 (b) 20 (c) 16 (d) 15
  18. 18.What is the median of 15, 1, 23, 27, 21, 36 and 11? (a) 23 (b) 21 (c) 27 (d) 15
  19. 19.What is the mode of 1, 8, 18, 8, 3, 3 and 3? (a) 1 (b) 18 (c) 8 (d) 3
  20. 20.What is the mean of 2, 20, 3, 10 and 20? (a) 10 (b) 12 (c) 11 (d) 13
  21. 21.The mean of 5 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 38 (b) 43 (c) 34 (d) 37
  22. 22.What is the median of 17, 39, 1, 11, 29, 2 and 33? (a) 11 (b) 18 (c) 29 (d) 17
  23. 23.The mean of 4 numbers is 33. When the number 48 is added to them, what is the new mean? (a) 35 (b) 36 (c) 37 (d) 33
  24. 24.What is the median of 7, 38, 24, 11 and 18? (a) 18 (b) 19 (c) 24 (d) 11
  25. 25.What is the mean of 17, 16, 12, 14 and 6? (a) 12 (b) 15 (c) 14 (d) 13
  26. 26.What is the median of 32, 19, 8, 1 and 34? (a) 8 (b) 19 (c) 32 (d) 20
  27. 27.What is the mode of 1, 8, 1, 5, 8, 8 and 11? (a) 8 (b) 11 (c) 1 (d) 5
  28. 28.What is the mean of 3, 3, 2, 5 and 2? (a) 2 (b) 5 (c) 3 (d) 4
  29. 29.What is the median of 38, 33, 20, 1 and 8? (a) 33 (b) 8 (c) 20 (d) 21
  30. 30.What is the mode of 20, 20, 11, 11, 20, 10 and 2? (a) 2 (b) 11 (c) 10 (d) 20
  31. 31.What is the mean of 8, 7, 6, 20 and 9? (a) 9 (b) 11 (c) 12 (d) 10
  32. 32.What is the mean of 19, 7, 16, 17, 7 and 12? (a) 12 (b) 14 (c) 15 (d) 13
  33. 33.What is the mean of 10, 9, 8, 16 and 17? (a) 15 (b) 13 (c) 12 (d) 10
  34. 34.What is the mean of 4, 20, 18, 20 and 8? (a) 14 (b) 15 (c) 16 (d) 13
  35. 35.What is the mean of 2, 16, 14 and 20? (a) 13 (b) 15 (c) 12 (d) 14
  36. 36.What is the mean of 4, 4, 19, 12, 10 and 23? (a) 14 (b) 12 (c) 13 (d) 11
  37. 37.What is the mean of 14, 5, 18 and 11? (a) 16 (b) 12 (c) 13 (d) 11
  38. 38.What is the mode of 7, 7, 19, 19, 5, 12 and 19? (a) 5 (b) 19 (c) 7 (d) 12
  39. 39.What is the mode of 17, 2, 11, 17, 10, 17 and 10? (a) 2 (b) 17 (c) 10 (d) 11
  40. 40.What is the median of 35, 33, 6, 24, 40, 32 and 3? (a) 31 (b) 24 (c) 32 (d) 33

Answer key

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

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