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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 627 · 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 12, 16, 6 and 18? (a) 14 (b) 13 (c) 12 (d) 15
  2. 2.The mean of 3 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 19 (b) 16 (c) 22 (d) 20
  3. 3.What is the mean of 17, 8, 18 and 5? (a) 13 (b) 11 (c) 16 (d) 12
  4. 4.What is the mean of 8, 12, 10, 10 and 15? (a) 10 (b) 13 (c) 12 (d) 11
  5. 5.What is the mean of 2, 6, 4, 17 and 6? (a) 6 (b) 9 (c) 8 (d) 7
  6. 6.What is the median of 26, 17, 34, 19 and 21? (a) 26 (b) 34 (c) 21 (d) 19
  7. 7.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 34 (b) 26 (c) 24 (d) 27
  8. 8.What is the mean of 11, 20, 12, 8 and 19? (a) 14 (b) 15 (c) 16 (d) 13
  9. 9.What is the mode of 14, 14, 4, 8, 4, 20 and 14? (a) 8 (b) 20 (c) 4 (d) 14
  10. 10.What is the mode of 8, 12, 20, 10, 10, 8 and 8? (a) 10 (b) 8 (c) 20 (d) 12
  11. 11.The mean of 5 numbers is 28. When the number 52 is added to them, what is the new mean? (a) 40 (b) 32 (c) 28 (d) 33
  12. 12.What is the median of 12, 19, 34, 9 and 17? (a) 19 (b) 34 (c) 12 (d) 17
  13. 13.What is the median of 2, 26, 1, 14, 37, 18 and 21? (a) 21 (b) 14 (c) 18 (d) 17
  14. 14.What is the median of 16, 40, 21, 25 and 19? (a) 19 (b) 22 (c) 21 (d) 25
  15. 15.What is the median of 39, 32, 28, 10, 23, 20 and 9? (a) 20 (b) 23 (c) 28 (d) 10
  16. 16.What is the median of 31, 26, 17, 24 and 12? (a) 22 (b) 24 (c) 17 (d) 26
  17. 17.What is the mean of 20, 20, 16, 20 and 9? (a) 16 (b) 19 (c) 17 (d) 18
  18. 18.What is the median of 17, 4, 35, 16 and 20? (a) 20 (b) 17 (c) 16 (d) 35
  19. 19.What is the mode of 2, 4, 18, 2, 18, 16 and 2? (a) 2 (b) 18 (c) 16 (d) 4
  20. 20.The mean of 7 numbers is 31. When the number 47 is added to them, what is the new mean? (a) 34 (b) 39 (c) 31 (d) 33
  21. 21.What is the median of 27, 38, 5, 16 and 3? (a) 5 (b) 27 (c) 17 (d) 16
  22. 22.What is the mode of 12, 12, 10, 10, 10, 9 and 18? (a) 10 (b) 9 (c) 18 (d) 12
  23. 23.What is the mode of 4, 15, 19, 4, 15, 4 and 1? (a) 1 (b) 4 (c) 15 (d) 19
  24. 24.The mean of 8 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 39 (b) 38 (c) 36 (d) 45
  25. 25.What is the mean of 13, 8, 6 and 9? (a) 8 (b) 10 (c) 12 (d) 9
  26. 26.What is the mean of 5, 9, 12 and 14? (a) 9 (b) 10 (c) 11 (d) 8
  27. 27.What is the median of 11, 35, 24, 26, 13, 20 and 16? (a) 16 (b) 24 (c) 20 (d) 26
  28. 28.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 16 (b) 15 (c) 11 (d) 21
  29. 29.What is the median of 13, 36, 3, 1 and 14? (a) 13 (b) 12 (c) 14 (d) 3
  30. 30.The mean of 7 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 31 (b) 34 (c) 43 (d) 35
  31. 31.The mean of 8 numbers is 18. When the number 45 is added to them, what is the new mean? (a) 20 (b) 18 (c) 22 (d) 21
  32. 32.What is the mode of 17, 11, 17, 8, 8, 14 and 17? (a) 17 (b) 8 (c) 14 (d) 11
  33. 33.What is the mean of 20, 4, 3 and 5? (a) 7 (b) 10 (c) 9 (d) 8
  34. 34.The mean of 3 numbers is 11. When the number 23 is added to them, what is the new mean? (a) 17 (b) 15 (c) 14 (d) 11
  35. 35.What is the median of 40, 28, 32, 36, 19, 22 and 5? (a) 36 (b) 26 (c) 28 (d) 32
  36. 36.What is the mode of 10, 17, 10, 17, 5, 17 and 2? (a) 10 (b) 5 (c) 2 (d) 17
  37. 37.What is the mode of 13, 3, 13, 17, 13, 15 and 15? (a) 15 (b) 17 (c) 3 (d) 13
  38. 38.What is the mode of 13, 20, 17, 17, 13, 17 and 12? (a) 13 (b) 17 (c) 12 (d) 20
  39. 39.What is the mode of 19, 19, 10, 19, 9, 9 and 1? (a) 9 (b) 1 (c) 10 (d) 19
  40. 40.What is the median of 11, 30, 36, 3, 2, 32 and 26? (a) 26 (b) 30 (c) 3 (d) 20

Answer key

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

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