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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 96 · 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 mode of 8, 17, 2, 2, 20, 2 and 8? (a) 17 (b) 20 (c) 8 (d) 2
  2. 2.What is the mean of 10, 12, 11 and 7? (a) 9 (b) 8 (c) 11 (d) 10
  3. 3.What is the mode of 9, 16, 16, 11, 16, 15 and 15? (a) 16 (b) 11 (c) 9 (d) 15
  4. 4.What is the mean of 14, 19, 8, 7, 6 and 6? (a) 11 (b) 12 (c) 10 (d) 9
  5. 5.The mean of 3 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 47 (b) 39 (c) 44 (d) 43
  6. 6.What is the mode of 13, 13, 2, 6, 1, 2 and 2? (a) 6 (b) 13 (c) 2 (d) 1
  7. 7.What is the mean of 16, 11, 12 and 17? (a) 13 (b) 14 (c) 16 (d) 15
  8. 8.What is the median of 26, 3, 18, 6, 12, 29 and 7? (a) 7 (b) 6 (c) 18 (d) 12
  9. 9.What is the mean of 8, 17, 19 and 16? (a) 12 (b) 15 (c) 16 (d) 20
  10. 10.What is the mode of 20, 12, 20, 12, 7, 14 and 12? (a) 7 (b) 20 (c) 14 (d) 12
  11. 11.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 18 (b) 23 (c) 20 (d) 21
  12. 12.What is the median of 14, 9, 8, 13 and 23? (a) 9 (b) 8 (c) 13 (d) 14
  13. 13.The mean of 3 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 32 (b) 36 (c) 37 (d) 40
  14. 14.The mean of 8 numbers is 15. When the number 51 is added to them, what is the new mean? (a) 33 (b) 19 (c) 15 (d) 20
  15. 15.What is the mean of 18, 19, 15, 4, 2 and 8? (a) 13 (b) 10 (c) 12 (d) 11
  16. 16.The mean of 4 numbers is 19. When the number 14 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 20
  17. 17.What is the mode of 20, 5, 20, 20, 5, 2 and 6? (a) 2 (b) 5 (c) 6 (d) 20
  18. 18.What is the mean of 9, 6, 7 and 10? (a) 8 (b) 9 (c) 7 (d) 10
  19. 19.What is the median of 19, 13, 34, 12, 27, 18 and 10? (a) 13 (b) 19 (c) 12 (d) 18
  20. 20.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 39 (b) 28 (c) 27 (d) 24
  21. 21.What is the median of 14, 15, 27, 1 and 16? (a) 15 (b) 14 (c) 27 (d) 16
  22. 22.The mean of 7 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 27 (b) 21 (c) 22 (d) 19
  23. 23.What is the median of 1, 17, 9, 35, 13, 2 and 26? (a) 9 (b) 13 (c) 35 (d) 17
  24. 24.What is the mode of 7, 13, 19, 7, 7, 9 and 9? (a) 13 (b) 19 (c) 9 (d) 7
  25. 25.The mean of 6 numbers is 34. When the number 48 is added to them, what is the new mean? (a) 41 (b) 37 (c) 34 (d) 36
  26. 26.What is the mean of 16, 15, 14 and 23? (a) 18 (b) 19 (c) 16 (d) 17
  27. 27.What is the mean of 18, 8, 7, 15, 19 and 5? (a) 13 (b) 12 (c) 14 (d) 11
  28. 28.What is the mode of 3, 17, 4, 19, 17, 3 and 17? (a) 19 (b) 17 (c) 4 (d) 3
  29. 29.What is the mean of 4, 5, 7 and 20? (a) 9 (b) 8 (c) 12 (d) 10
  30. 30.What is the mean of 17, 2, 13, 8 and 10? (a) 12 (b) 10 (c) 11 (d) 9
  31. 31.The mean of 4 numbers is 28. When the number 13 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 28
  32. 32.What is the mean of 20, 3, 3, 3, 9 and 16? (a) 10 (b) 11 (c) 8 (d) 9
  33. 33.What is the mean of 19, 11, 5, 15, 4 and 18? (a) 12 (b) 13 (c) 14 (d) 11
  34. 34.What is the mean of 9, 7, 10 and 18? (a) 13 (b) 12 (c) 11 (d) 10
  35. 35.The mean of 4 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 32 (b) 30 (c) 27 (d) 31
  36. 36.What is the mode of 12, 19, 11, 12, 19, 14 and 12? (a) 11 (b) 12 (c) 19 (d) 14
  37. 37.The mean of 5 numbers is 32. When the number 26 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 32
  38. 38.What is the mean of 15, 14, 13 and 18? (a) 16 (b) 20 (c) 15 (d) 12
  39. 39.What is the mode of 11, 6, 17, 11, 4, 11 and 17? (a) 17 (b) 6 (c) 4 (d) 11
  40. 40.The mean of 6 numbers is 28. When the number 21 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 29

Answer key

  1. 2
  2. 10
  3. 16
  4. 10
  5. 43
  6. 2
  7. 14
  8. 12
  9. 15
  10. 12
  11. 20
  12. 13
  13. 36
  14. 19
  15. 11
  16. 18
  17. 20
  18. 8
  19. 18
  20. 27
  21. 15
  22. 21
  23. 13
  24. 7
  25. 36
  26. 17
  27. 12
  28. 17
  29. 9
  30. 10
  31. 25
  32. 9
  33. 12
  34. 11
  35. 30
  36. 12
  37. 31
  38. 15
  39. 11
  40. 27

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