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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 459 · 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, 36, 8, 28 and 16? (a) 36 (b) 28 (c) 25 (d) 8
  2. 2.What is the mode of 6, 1, 6, 1, 1, 8 and 12? (a) 12 (b) 6 (c) 8 (d) 1
  3. 3.What is the mode of 8, 13, 8, 12, 12, 8 and 5? (a) 8 (b) 5 (c) 13 (d) 12
  4. 4.What is the mode of 14, 14, 10, 3, 14, 2 and 3? (a) 10 (b) 3 (c) 14 (d) 2
  5. 5.What is the mean of 13, 3, 6 and 6? (a) 8 (b) 6 (c) 9 (d) 7
  6. 6.What is the mean of 12, 5, 4, 11, 12 and 22? (a) 12 (b) 13 (c) 11 (d) 10
  7. 7.The mean of 5 numbers is 26. When the number 14 is added to them, what is the new mean? (a) 24 (b) 25 (c) 20 (d) 26
  8. 8.The mean of 8 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 39 (b) 38 (c) 37 (d) 30
  9. 9.What is the mean of 3, 12, 4, 15, 20 and 24? (a) 13 (b) 15 (c) 14 (d) 12
  10. 10.What is the mode of 15, 19, 19, 15, 15, 2 and 10? (a) 19 (b) 15 (c) 2 (d) 10
  11. 11.What is the median of 25, 4, 20, 24 and 36? (a) 20 (b) 25 (c) 23 (d) 24
  12. 12.What is the mean of 19, 16, 11 and 6? (a) 13 (b) 14 (c) 15 (d) 12
  13. 13.What is the mode of 18, 12, 17, 16, 12, 12 and 16? (a) 16 (b) 12 (c) 17 (d) 18
  14. 14.What is the median of 8, 12, 30, 6, 13, 19 and 37? (a) 12 (b) 6 (c) 13 (d) 19
  15. 15.What is the mean of 5, 2, 2, 15 and 6? (a) 5 (b) 6 (c) 7 (d) 8
  16. 16.What is the mean of 13, 9, 2, 4 and 7? (a) 9 (b) 6 (c) 7 (d) 8
  17. 17.What is the mean of 11, 12, 18, 7, 6 and 18? (a) 13 (b) 14 (c) 12 (d) 11
  18. 18.The mean of 8 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 43 (b) 37 (c) 36 (d) 34
  19. 19.The mean of 3 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 29 (b) 28 (c) 25 (d) 27
  20. 20.The mean of 3 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 46 (b) 44 (c) 43 (d) 40
  21. 21.What is the mode of 16, 16, 16, 4, 2, 5 and 4? (a) 2 (b) 4 (c) 5 (d) 16
  22. 22.What is the mode of 5, 5, 15, 15, 20, 1 and 5? (a) 15 (b) 20 (c) 1 (d) 5
  23. 23.What is the mode of 1, 1, 3, 10, 3, 1 and 18? (a) 1 (b) 10 (c) 18 (d) 3
  24. 24.What is the mode of 5, 5, 13, 5, 10, 3 and 10? (a) 10 (b) 3 (c) 13 (d) 5
  25. 25.What is the mode of 9, 8, 14, 10, 8, 14 and 14? (a) 10 (b) 8 (c) 9 (d) 14
  26. 26.The mean of 7 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 40 (b) 38 (c) 46 (d) 41
  27. 27.What is the mode of 8, 19, 19, 19, 13, 13 and 11? (a) 11 (b) 19 (c) 8 (d) 13
  28. 28.What is the mode of 12, 8, 8, 17, 17, 13 and 17? (a) 12 (b) 13 (c) 8 (d) 17
  29. 29.The mean of 5 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 28 (b) 16 (c) 25 (d) 24
  30. 30.What is the median of 16, 33, 12, 28, 17, 6 and 27? (a) 16 (b) 17 (c) 28 (d) 27
  31. 31.What is the mean of 3, 11, 20 and 18? (a) 12 (b) 15 (c) 13 (d) 14
  32. 32.The mean of 3 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 35 (b) 37 (c) 38 (d) 39
  33. 33.The mean of 5 numbers is 26. When the number 32 is added to them, what is the new mean? (a) 28 (b) 27 (c) 26 (d) 29
  34. 34.What is the mode of 19, 16, 16, 15, 19, 16 and 17? (a) 19 (b) 15 (c) 16 (d) 17
  35. 35.What is the mode of 19, 3, 20, 19, 6, 19 and 3? (a) 3 (b) 20 (c) 19 (d) 6
  36. 36.What is the median of 24, 30, 21, 13 and 17? (a) 17 (b) 24 (c) 22 (d) 21
  37. 37.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 13
  38. 38.The mean of 9 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 40 (b) 33 (c) 32 (d) 30
  39. 39.What is the median of 20, 32, 7, 18 and 31? (a) 31 (b) 18 (c) 20 (d) 7
  40. 40.The mean of 7 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 36 (b) 44 (c) 39 (d) 38

Answer key

  1. 28
  2. 1
  3. 8
  4. 14
  5. 7
  6. 11
  7. 24
  8. 37
  9. 13
  10. 15
  11. 24
  12. 13
  13. 12
  14. 13
  15. 6
  16. 7
  17. 12
  18. 36
  19. 27
  20. 43
  21. 16
  22. 5
  23. 1
  24. 5
  25. 14
  26. 40
  27. 19
  28. 17
  29. 24
  30. 17
  31. 13
  32. 37
  33. 27
  34. 16
  35. 19
  36. 21
  37. 11
  38. 32
  39. 20
  40. 38

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