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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 236 · 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 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 34 (b) 35 (c) 37 (d) 36
  2. 2.The mean of 5 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 24 (b) 18 (c) 22 (d) 23
  3. 3.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 13 (b) 21 (c) 18 (d) 17
  4. 4.What is the median of 40, 20, 25, 10, 14, 28 and 27? (a) 10 (b) 27 (c) 20 (d) 25
  5. 5.What is the mean of 9, 12, 20, 7 and 12? (a) 12 (b) 15 (c) 10 (d) 13
  6. 6.What is the mode of 17, 9, 5, 17, 1, 5 and 17? (a) 5 (b) 17 (c) 9 (d) 1
  7. 7.What is the mode of 10, 10, 2, 11, 6, 6 and 6? (a) 10 (b) 11 (c) 6 (d) 2
  8. 8.What is the median of 17, 35, 37, 30 and 21? (a) 35 (b) 28 (c) 37 (d) 30
  9. 9.What is the mean of 8, 10, 2 and 16? (a) 12 (b) 8 (c) 9 (d) 10
  10. 10.What is the mean of 12, 4, 4, 11 and 19? (a) 10 (b) 9 (c) 11 (d) 12
  11. 11.What is the mode of 2, 2, 15, 19, 15, 18 and 2? (a) 19 (b) 15 (c) 18 (d) 2
  12. 12.What is the mode of 8, 8, 11, 11, 6, 8 and 2? (a) 6 (b) 11 (c) 2 (d) 8
  13. 13.What is the mean of 8, 5, 7, 9 and 21? (a) 12 (b) 11 (c) 9 (d) 10
  14. 14.What is the mode of 16, 16, 16, 5, 15, 14 and 15? (a) 16 (b) 5 (c) 15 (d) 14
  15. 15.What is the median of 40, 19, 4, 10 and 39? (a) 39 (b) 10 (c) 19 (d) 4
  16. 16.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 17 (b) 15 (c) 19 (d) 18
  17. 17.What is the mean of 18, 8, 18, 13, 14 and 19? (a) 18 (b) 15 (c) 14 (d) 16
  18. 18.What is the median of 8, 4, 1, 30, 21, 24 and 3? (a) 30 (b) 21 (c) 8 (d) 13
  19. 19.What is the mode of 8, 7, 16, 8, 7, 7 and 19? (a) 7 (b) 16 (c) 19 (d) 8
  20. 20.What is the median of 34, 35, 10, 31 and 5? (a) 31 (b) 34 (c) 10 (d) 23
  21. 21.What is the mean of 19, 8, 15 and 10? (a) 13 (b) 15 (c) 12 (d) 14
  22. 22.What is the median of 21, 18, 31, 7 and 13? (a) 13 (b) 31 (c) 21 (d) 18
  23. 23.What is the median of 6, 3, 14, 1 and 4? (a) 6 (b) 4 (c) 3 (d) 14
  24. 24.What is the mean of 12, 15, 5 and 12? (a) 13 (b) 12 (c) 10 (d) 11
  25. 25.The mean of 4 numbers is 16. When the number 11 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 15
  26. 26.What is the median of 24, 27, 35, 13 and 5? (a) 35 (b) 13 (c) 27 (d) 24
  27. 27.What is the mean of 2, 17, 16 and 13? (a) 11 (b) 13 (c) 16 (d) 12
  28. 28.What is the mode of 7, 7, 9, 9, 1, 19 and 9? (a) 19 (b) 7 (c) 1 (d) 9
  29. 29.What is the mode of 3, 2, 3, 3, 17, 4 and 4? (a) 3 (b) 4 (c) 2 (d) 17
  30. 30.What is the median of 9, 4, 25, 20 and 32? (a) 20 (b) 18 (c) 25 (d) 9
  31. 31.What is the mode of 14, 20, 20, 10, 11, 14 and 20? (a) 20 (b) 14 (c) 10 (d) 11
  32. 32.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 33 (b) 36 (c) 34 (d) 35
  33. 33.What is the mode of 10, 10, 5, 10, 18, 7 and 18? (a) 7 (b) 18 (c) 5 (d) 10
  34. 34.What is the median of 38, 20, 19, 8, 25, 24 and 13? (a) 20 (b) 8 (c) 24 (d) 21
  35. 35.What is the mean of 20, 4, 12, 20 and 9? (a) 12 (b) 13 (c) 15 (d) 14
  36. 36.What is the mode of 2, 17, 2, 6, 17, 2 and 10? (a) 2 (b) 6 (c) 10 (d) 17
  37. 37.What is the median of 12, 16, 11, 7, 9, 4 and 2? (a) 9 (b) 11 (c) 7 (d) 10
  38. 38.What is the mode of 11, 11, 8, 12, 8, 14 and 8? (a) 8 (b) 11 (c) 12 (d) 14
  39. 39.What is the median of 37, 8, 23, 10, 17, 14 and 33? (a) 10 (b) 23 (c) 17 (d) 14
  40. 40.What is the mode of 6, 2, 19, 8, 2, 19 and 2? (a) 6 (b) 19 (c) 2 (d) 8

Answer key

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

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