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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 437 · 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 30, 11, 1, 33, 9, 28 and 5? (a) 9 (b) 28 (c) 33 (d) 11
  2. 2.What is the mean of 16, 20, 18 and 14? (a) 18 (b) 16 (c) 17 (d) 19
  3. 3.The mean of 9 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 18 (b) 20 (c) 15 (d) 19
  4. 4.What is the mean of 4, 5, 4, 2, 20 and 19? (a) 9 (b) 11 (c) 10 (d) 8
  5. 5.What is the mean of 16, 12, 19 and 17? (a) 17 (b) 15 (c) 16 (d) 18
  6. 6.What is the mode of 7, 17, 17, 2, 11, 2 and 17? (a) 2 (b) 7 (c) 11 (d) 17
  7. 7.What is the mode of 6, 15, 15, 6, 6, 13 and 9? (a) 6 (b) 13 (c) 9 (d) 15
  8. 8.What is the mode of 7, 4, 11, 7, 4, 3 and 4? (a) 3 (b) 7 (c) 11 (d) 4
  9. 9.The mean of 9 numbers is 10. When the number 40 is added to them, what is the new mean? (a) 25 (b) 13 (c) 10 (d) 14
  10. 10.The mean of 5 numbers is 36. When the number 42 is added to them, what is the new mean? (a) 36 (b) 38 (c) 39 (d) 37
  11. 11.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 16
  12. 12.What is the median of 18, 19, 6, 31, 36, 14 and 10? (a) 14 (b) 18 (c) 31 (d) 19
  13. 13.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 15
  14. 14.The mean of 6 numbers is 26. When the number 40 is added to them, what is the new mean? (a) 33 (b) 29 (c) 26 (d) 28
  15. 15.What is the mode of 17, 5, 5, 5, 14, 19 and 19? (a) 17 (b) 19 (c) 5 (d) 14
  16. 16.What is the mode of 3, 8, 3, 10, 7, 3 and 10? (a) 3 (b) 10 (c) 8 (d) 7
  17. 17.What is the mean of 19, 2, 10, 10, 15 and 10? (a) 12 (b) 13 (c) 10 (d) 11
  18. 18.What is the mode of 3, 3, 1, 10, 11, 3 and 11? (a) 10 (b) 1 (c) 11 (d) 3
  19. 19.What is the median of 20, 40, 21, 32, 35, 27 and 26? (a) 32 (b) 28 (c) 27 (d) 26
  20. 20.What is the mode of 4, 3, 8, 3, 3, 1 and 8? (a) 3 (b) 1 (c) 4 (d) 8
  21. 21.What is the median of 39, 27, 12, 3 and 16? (a) 27 (b) 12 (c) 17 (d) 16
  22. 22.What is the mode of 13, 13, 19, 13, 5, 19 and 9? (a) 13 (b) 5 (c) 19 (d) 9
  23. 23.What is the mode of 5, 18, 18, 19, 20, 18 and 20? (a) 18 (b) 5 (c) 19 (d) 20
  24. 24.What is the mode of 7, 9, 3, 7, 15, 9 and 9? (a) 9 (b) 15 (c) 7 (d) 3
  25. 25.What is the mean of 17, 20, 13, 2 and 8? (a) 13 (b) 10 (c) 12 (d) 15
  26. 26.The mean of 5 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 24 (b) 30 (c) 29 (d) 28
  27. 27.The mean of 3 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 24
  28. 28.What is the median of 18, 27, 40, 16, 3, 34 and 36? (a) 16 (b) 34 (c) 18 (d) 27
  29. 29.What is the mean of 7, 10, 5 and 6? (a) 9 (b) 6 (c) 8 (d) 7
  30. 30.What is the mean of 2, 5, 11, 18 and 24? (a) 10 (b) 13 (c) 15 (d) 12
  31. 31.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 33 (b) 36 (c) 37 (d) 35
  32. 32.What is the median of 2, 8, 3, 4 and 35? (a) 3 (b) 8 (c) 4 (d) 5
  33. 33.What is the mean of 18, 5, 8, 4, 3 and 22? (a) 10 (b) 12 (c) 11 (d) 9
  34. 34.What is the mean of 17, 11, 10, 3 and 4? (a) 8 (b) 11 (c) 10 (d) 9
  35. 35.The mean of 5 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 32 (b) 23 (c) 31 (d) 35
  36. 36.What is the mode of 10, 14, 4, 10, 6, 10 and 6? (a) 6 (b) 14 (c) 4 (d) 10
  37. 37.What is the median of 22, 38, 33, 16, 2, 8 and 20? (a) 22 (b) 16 (c) 21 (d) 20
  38. 38.The mean of 4 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 35 (b) 32 (c) 34 (d) 37
  39. 39.What is the median of 26, 40, 17, 1 and 32? (a) 26 (b) 17 (c) 27 (d) 32
  40. 40.What is the mode of 18, 3, 5, 18, 3, 18 and 20? (a) 20 (b) 5 (c) 3 (d) 18

Answer key

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

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