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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 764 · 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 median of 29, 11, 26, 12 and 1? (a) 12 (b) 11 (c) 26 (d) 13
  2. 2.What is the median of 23, 19, 37, 21 and 16? (a) 37 (b) 19 (c) 21 (d) 23
  3. 3.What is the mean of 13, 4, 9, 4, 15 and 21? (a) 11 (b) 10 (c) 13 (d) 12
  4. 4.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 26 (b) 23 (c) 27 (d) 25
  5. 5.What is the mean of 3, 9, 10, 9, 10 and 19? (a) 11 (b) 10 (c) 12 (d) 9
  6. 6.The mean of 8 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 28 (b) 25 (c) 34 (d) 27
  7. 7.What is the mean of 3, 2, 15 and 20? (a) 8 (b) 10 (c) 9 (d) 11
  8. 8.What is the mode of 3, 5, 9, 2, 3, 5 and 5? (a) 3 (b) 5 (c) 2 (d) 9
  9. 9.What is the median of 25, 11, 28, 20, 5, 36 and 15? (a) 25 (b) 15 (c) 21 (d) 20
  10. 10.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 24 (b) 27 (c) 28 (d) 39
  11. 11.What is the median of 39, 4, 34, 28, 7, 38 and 3? (a) 34 (b) 28 (c) 7 (d) 29
  12. 12.What is the mode of 4, 3, 15, 4, 4, 15 and 16? (a) 15 (b) 4 (c) 3 (d) 16
  13. 13.What is the median of 33, 7, 29, 13, 24, 21 and 34? (a) 13 (b) 29 (c) 23 (d) 24
  14. 14.What is the mean of 19, 13, 18, 19 and 6? (a) 17 (b) 16 (c) 15 (d) 14
  15. 15.What is the median of 31, 38, 7, 12 and 39? (a) 7 (b) 31 (c) 38 (d) 12
  16. 16.The mean of 3 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 28
  17. 17.What is the mode of 8, 10, 17, 20, 17, 10 and 10? (a) 20 (b) 8 (c) 17 (d) 10
  18. 18.What is the median of 12, 35, 13, 29 and 27? (a) 29 (b) 13 (c) 28 (d) 27
  19. 19.What is the mean of 2, 9, 16 and 21? (a) 11 (b) 16 (c) 13 (d) 12
  20. 20.What is the median of 38, 24, 31, 9, 29, 12 and 36? (a) 29 (b) 9 (c) 24 (d) 31
  21. 21.What is the mode of 2, 2, 5, 6, 15, 6 and 6? (a) 2 (b) 15 (c) 5 (d) 6
  22. 22.The mean of 8 numbers is 38. When the number 47 is added to them, what is the new mean? (a) 39 (b) 40 (c) 41 (d) 38
  23. 23.What is the median of 5, 15, 7, 10 and 1? (a) 10 (b) 7 (c) 8 (d) 5
  24. 24.What is the median of 10, 16, 33, 24 and 21? (a) 24 (b) 21 (c) 33 (d) 16
  25. 25.What is the median of 32, 20, 35, 29 and 15? (a) 29 (b) 35 (c) 20 (d) 32
  26. 26.The mean of 6 numbers is 28. When the number 14 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 21
  27. 27.What is the median of 33, 32, 2, 21, 6, 9 and 40? (a) 32 (b) 22 (c) 9 (d) 21
  28. 28.What is the median of 1, 10, 34, 30 and 28? (a) 34 (b) 10 (c) 28 (d) 30
  29. 29.What is the mode of 8, 10, 6, 14, 14, 14 and 10? (a) 8 (b) 6 (c) 10 (d) 14
  30. 30.What is the mean of 8, 3, 11, 11, 3 and 18? (a) 9 (b) 10 (c) 8 (d) 11
  31. 31.The mean of 5 numbers is 13. When the number 37 is added to them, what is the new mean? (a) 18 (b) 25 (c) 13 (d) 17
  32. 32.What is the mode of 5, 7, 2, 4, 4, 7 and 4? (a) 4 (b) 2 (c) 7 (d) 5
  33. 33.What is the mode of 1, 2, 18, 8, 18, 18 and 1? (a) 1 (b) 18 (c) 2 (d) 8
  34. 34.The mean of 8 numbers is 26. When the number 17 is added to them, what is the new mean? (a) 24 (b) 26 (c) 27 (d) 25
  35. 35.The mean of 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 19 (b) 20 (c) 16 (d) 18
  36. 36.What is the mode of 5, 12, 11, 13, 12, 13 and 12? (a) 13 (b) 5 (c) 11 (d) 12
  37. 37.What is the mean of 3, 16, 3 and 18? (a) 11 (b) 9 (c) 10 (d) 8
  38. 38.What is the mean of 9, 14, 11 and 18? (a) 15 (b) 12 (c) 14 (d) 13
  39. 39.What is the mean of 18, 15, 2 and 9? (a) 12 (b) 10 (c) 11 (d) 13
  40. 40.What is the mode of 20, 20, 5, 3, 20, 13 and 5? (a) 3 (b) 13 (c) 5 (d) 20

Answer key

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

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