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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 885 · 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 37, 32, 5, 24, 6, 31 and 28? (a) 31 (b) 28 (c) 29 (d) 24
  2. 2.What is the median of 2, 16, 28, 7 and 20? (a) 16 (b) 7 (c) 20 (d) 28
  3. 3.What is the mean of 18, 9, 3, 2 and 13? (a) 11 (b) 8 (c) 9 (d) 10
  4. 4.What is the median of 7, 21, 39, 5, 1, 10 and 37? (a) 7 (b) 10 (c) 5 (d) 21
  5. 5.What is the median of 24, 17, 2, 18, 34, 40 and 39? (a) 25 (b) 18 (c) 34 (d) 24
  6. 6.What is the mode of 9, 9, 6, 7, 20, 6 and 9? (a) 20 (b) 7 (c) 6 (d) 9
  7. 7.The mean of 5 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 34 (b) 31 (c) 25 (d) 32
  8. 8.The mean of 3 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 27 (b) 28 (c) 25 (d) 29
  9. 9.The mean of 6 numbers is 26. When the number 12 is added to them, what is the new mean? (a) 19 (b) 25 (c) 24 (d) 26
  10. 10.What is the mean of 16, 2, 18, 18, 7 and 17? (a) 15 (b) 14 (c) 13 (d) 12
  11. 11.What is the median of 14, 6, 16, 18, 24, 7 and 36? (a) 17 (b) 16 (c) 14 (d) 18
  12. 12.The mean of 4 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 19 (b) 18 (c) 14 (d) 17
  13. 13.What is the mean of 12, 16, 20, 18, 10 and 8? (a) 15 (b) 12 (c) 14 (d) 13
  14. 14.What is the median of 9, 11, 25, 15, 26, 36 and 3? (a) 11 (b) 16 (c) 25 (d) 15
  15. 15.The mean of 8 numbers is 35. When the number 8 is added to them, what is the new mean? (a) 35 (b) 33 (c) 31 (d) 32
  16. 16.What is the mode of 10, 1, 20, 11, 20, 20 and 1? (a) 10 (b) 11 (c) 20 (d) 1
  17. 17.What is the mean of 12, 13, 13, 9 and 8? (a) 13 (b) 11 (c) 10 (d) 12
  18. 18.What is the mode of 1, 1, 2, 2, 17, 3 and 1? (a) 3 (b) 1 (c) 2 (d) 17
  19. 19.What is the mean of 13, 11, 3, 9, 11 and 7? (a) 9 (b) 8 (c) 11 (d) 10
  20. 20.What is the median of 11, 27, 38, 2, 19, 9 and 13? (a) 19 (b) 17 (c) 2 (d) 13
  21. 21.What is the mode of 15, 15, 7, 20, 15, 16 and 16? (a) 16 (b) 20 (c) 7 (d) 15
  22. 22.What is the mean of 6, 5, 3 and 10? (a) 7 (b) 5 (c) 6 (d) 8
  23. 23.What is the mode of 2, 4, 4, 14, 20, 4 and 2? (a) 14 (b) 20 (c) 4 (d) 2
  24. 24.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 13 (b) 21 (c) 18 (d) 17
  25. 25.What is the median of 38, 3, 37, 39, 24, 31 and 11? (a) 39 (b) 24 (c) 31 (d) 37
  26. 26.What is the mean of 5, 14, 18, 4, 7 and 6? (a) 10 (b) 9 (c) 8 (d) 11
  27. 27.What is the mode of 15, 15, 4, 13, 15, 12 and 12? (a) 15 (b) 12 (c) 13 (d) 4
  28. 28.What is the median of 34, 27, 32, 16 and 24? (a) 32 (b) 27 (c) 24 (d) 28
  29. 29.The mean of 8 numbers is 26. When the number 17 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 27
  30. 30.The mean of 5 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 32
  31. 31.What is the mode of 10, 2, 6, 1, 1, 6 and 1? (a) 6 (b) 10 (c) 2 (d) 1
  32. 32.What is the mode of 7, 20, 19, 7, 19, 19 and 5? (a) 20 (b) 7 (c) 5 (d) 19
  33. 33.The mean of 3 numbers is 24. When the number 20 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 25
  34. 34.What is the mean of 4, 14, 3, 5 and 14? (a) 9 (b) 10 (c) 7 (d) 8
  35. 35.The mean of 9 numbers is 37. When the number 7 is added to them, what is the new mean? (a) 22 (b) 35 (c) 37 (d) 34
  36. 36.What is the mean of 19, 16, 14, 18, 17 and 12? (a) 16 (b) 18 (c) 17 (d) 15
  37. 37.What is the mean of 5, 10, 3, 14 and 13? (a) 8 (b) 10 (c) 11 (d) 9
  38. 38.What is the mode of 8, 12, 15, 2, 2, 2 and 8? (a) 8 (b) 2 (c) 12 (d) 15
  39. 39.What is the mean of 13, 2, 18, 11 and 6? (a) 9 (b) 11 (c) 12 (d) 10
  40. 40.What is the mean of 2, 16, 6 and 8? (a) 7 (b) 9 (c) 10 (d) 8

Answer key

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

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