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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 57 · 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 9, 6, 15 and 22? (a) 15 (b) 12 (c) 13 (d) 14
  2. 2.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 16 (b) 19 (c) 17 (d) 14
  3. 3.What is the mode of 16, 10, 8, 8, 13, 8 and 10? (a) 16 (b) 13 (c) 10 (d) 8
  4. 4.The mean of 9 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 42 (b) 43 (c) 40 (d) 50
  5. 5.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 37
  6. 6.What is the mean of 3, 14, 20 and 19? (a) 15 (b) 14 (c) 13 (d) 16
  7. 7.What is the median of 24, 16, 33, 7 and 28? (a) 33 (b) 16 (c) 24 (d) 28
  8. 8.What is the median of 15, 12, 22, 17 and 1? (a) 15 (b) 12 (c) 17 (d) 22
  9. 9.What is the mean of 3, 3, 16, 7, 17 and 14? (a) 12 (b) 10 (c) 11 (d) 9
  10. 10.The mean of 3 numbers is 31. When the number 23 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 27
  11. 11.What is the median of 8, 7, 18, 37 and 19? (a) 18 (b) 8 (c) 17 (d) 19
  12. 12.What is the median of 35, 34, 15, 23, 9, 33 and 6? (a) 33 (b) 24 (c) 23 (d) 15
  13. 13.What is the median of 13, 18, 11, 9 and 2? (a) 12 (b) 11 (c) 13 (d) 9
  14. 14.What is the mean of 13, 13, 16, 16 and 7? (a) 13 (b) 12 (c) 15 (d) 14
  15. 15.What is the mean of 3, 3, 13 and 9? (a) 8 (b) 7 (c) 6 (d) 9
  16. 16.What is the median of 13, 1, 5, 21 and 38? (a) 14 (b) 5 (c) 21 (d) 13
  17. 17.What is the mean of 20, 16, 16, 3 and 10? (a) 14 (b) 13 (c) 15 (d) 12
  18. 18.What is the median of 29, 16, 2, 21 and 38? (a) 16 (b) 21 (c) 29 (d) 2
  19. 19.What is the mode of 12, 6, 12, 9, 20, 6 and 12? (a) 20 (b) 12 (c) 9 (d) 6
  20. 20.What is the mean of 20, 2, 7, 3 and 3? (a) 8 (b) 6 (c) 9 (d) 7
  21. 21.What is the median of 1, 16, 17, 38, 10, 29 and 36? (a) 29 (b) 21 (c) 17 (d) 38
  22. 22.What is the median of 16, 25, 32, 9 and 24? (a) 32 (b) 24 (c) 25 (d) 16
  23. 23.What is the mean of 19, 8, 19, 19 and 20? (a) 18 (b) 19 (c) 17 (d) 16
  24. 24.The mean of 5 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 10 (b) 22 (c) 15 (d) 14
  25. 25.What is the mode of 7, 1, 4, 7, 4, 4 and 2? (a) 4 (b) 2 (c) 7 (d) 1
  26. 26.What is the mode of 19, 19, 16, 9, 16, 14 and 19? (a) 16 (b) 19 (c) 14 (d) 9
  27. 27.What is the median of 35, 6, 18, 7, 21, 2 and 8? (a) 7 (b) 9 (c) 8 (d) 18
  28. 28.The mean of 8 numbers is 37. When the number 64 is added to them, what is the new mean? (a) 41 (b) 40 (c) 39 (d) 37
  29. 29.What is the mode of 19, 18, 13, 15, 15, 15 and 19? (a) 18 (b) 15 (c) 19 (d) 13
  30. 30.What is the mode of 1, 1, 4, 16, 16, 16 and 6? (a) 1 (b) 6 (c) 4 (d) 16
  31. 31.What is the median of 25, 24, 9, 5 and 4? (a) 5 (b) 9 (c) 10 (d) 24
  32. 32.What is the median of 30, 40, 5, 28, 29, 25 and 17? (a) 25 (b) 28 (c) 27 (d) 29
  33. 33.What is the mean of 17, 5, 20, 16, 20 and 12? (a) 18 (b) 16 (c) 15 (d) 14
  34. 34.What is the median of 28, 27, 8, 15, 2, 3 and 6? (a) 15 (b) 6 (c) 9 (d) 8
  35. 35.What is the median of 16, 20, 17, 11 and 4? (a) 17 (b) 11 (c) 16 (d) 15
  36. 36.What is the mean of 18, 4, 10, 16 and 22? (a) 15 (b) 14 (c) 16 (d) 13
  37. 37.The mean of 5 numbers is 32. When the number 26 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 32
  38. 38.What is the median of 31, 12, 4, 28, 7, 34 and 11? (a) 12 (b) 11 (c) 13 (d) 28
  39. 39.What is the mode of 3, 7, 9, 4, 3, 9 and 9? (a) 7 (b) 3 (c) 4 (d) 9
  40. 40.What is the mode of 6, 12, 18, 6, 12, 10 and 6? (a) 10 (b) 6 (c) 12 (d) 18

Answer key

  1. 13
  2. 16
  3. 8
  4. 42
  5. 38
  6. 14
  7. 24
  8. 15
  9. 10
  10. 29
  11. 18
  12. 23
  13. 11
  14. 13
  15. 7
  16. 13
  17. 13
  18. 21
  19. 12
  20. 7
  21. 17
  22. 24
  23. 17
  24. 14
  25. 4
  26. 19
  27. 8
  28. 40
  29. 15
  30. 16
  31. 9
  32. 28
  33. 15
  34. 8
  35. 16
  36. 14
  37. 31
  38. 12
  39. 9
  40. 6

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