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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 577 · 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 mode of 10, 15, 15, 10, 10, 6 and 9? (a) 6 (b) 15 (c) 10 (d) 9
  2. 2.What is the median of 33, 39, 25, 17 and 24? (a) 33 (b) 24 (c) 26 (d) 25
  3. 3.What is the mode of 18, 11, 3, 16, 11, 18 and 11? (a) 3 (b) 16 (c) 11 (d) 18
  4. 4.The mean of 6 numbers is 26. When the number 5 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 26
  5. 5.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 31 (b) 30 (c) 33 (d) 28
  6. 6.The mean of 9 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 39 (b) 37 (c) 42 (d) 38
  7. 7.What is the mode of 4, 16, 12, 3, 12, 12 and 4? (a) 3 (b) 16 (c) 12 (d) 4
  8. 8.What is the mean of 11, 19, 8, 19 and 13? (a) 15 (b) 14 (c) 16 (d) 13
  9. 9.What is the mode of 1, 14, 1, 12, 12, 16 and 12? (a) 12 (b) 16 (c) 1 (d) 14
  10. 10.The mean of 5 numbers is 37. When the number 31 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 34
  11. 11.What is the mode of 8, 8, 14, 8, 10, 12 and 10? (a) 10 (b) 14 (c) 8 (d) 12
  12. 12.The mean of 5 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 35 (b) 38 (c) 34 (d) 26
  13. 13.What is the mode of 9, 2, 9, 2, 19, 9 and 14? (a) 2 (b) 9 (c) 19 (d) 14
  14. 14.What is the mode of 9, 8, 9, 7, 9, 8 and 6? (a) 7 (b) 9 (c) 6 (d) 8
  15. 15.What is the mean of 19, 12, 9, 19, 17 and 20? (a) 16 (b) 18 (c) 17 (d) 15
  16. 16.What is the mode of 19, 4, 20, 19, 20, 14 and 19? (a) 14 (b) 20 (c) 4 (d) 19
  17. 17.What is the mean of 20, 17, 11, 11, 5 and 20? (a) 13 (b) 15 (c) 12 (d) 14
  18. 18.What is the mode of 4, 3, 3, 4, 7, 11 and 3? (a) 4 (b) 3 (c) 7 (d) 11
  19. 19.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 37 (b) 34 (c) 40 (d) 38
  20. 20.The mean of 8 numbers is 29. When the number 56 is added to them, what is the new mean? (a) 31 (b) 29 (c) 32 (d) 33
  21. 21.What is the mean of 15, 9, 10 and 6? (a) 11 (b) 10 (c) 9 (d) 8
  22. 22.What is the mean of 8, 12, 9 and 11? (a) 9 (b) 11 (c) 8 (d) 10
  23. 23.What is the median of 28, 38, 6, 7 and 8? (a) 7 (b) 28 (c) 8 (d) 6
  24. 24.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 13 (b) 14 (c) 16 (d) 12
  25. 25.What is the mean of 20, 12, 3, 20, 2 and 3? (a) 10 (b) 11 (c) 9 (d) 12
  26. 26.What is the mean of 17, 20, 12 and 11? (a) 16 (b) 15 (c) 12 (d) 20
  27. 27.What is the mean of 15, 9, 6 and 6? (a) 12 (b) 10 (c) 9 (d) 8
  28. 28.What is the median of 25, 4, 18, 8, 23, 35 and 21? (a) 23 (b) 8 (c) 18 (d) 21
  29. 29.The mean of 5 numbers is 24. When the number 30 is added to them, what is the new mean? (a) 27 (b) 24 (c) 26 (d) 25
  30. 30.What is the mean of 15, 4, 10, 18 and 13? (a) 12 (b) 10 (c) 13 (d) 15
  31. 31.The mean of 7 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 44 (b) 52 (c) 40 (d) 43
  32. 32.What is the mode of 13, 13, 18, 13, 4, 15 and 4? (a) 4 (b) 18 (c) 13 (d) 15
  33. 33.The mean of 8 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 33 (b) 39 (c) 32 (d) 30
  34. 34.What is the mode of 10, 10, 11, 10, 19, 8 and 8? (a) 8 (b) 11 (c) 10 (d) 19
  35. 35.What is the median of 30, 10, 11, 18, 33, 1 and 6? (a) 11 (b) 18 (c) 12 (d) 10
  36. 36.What is the median of 3, 7, 29, 39 and 18? (a) 29 (b) 19 (c) 7 (d) 18
  37. 37.What is the median of 17, 8, 39, 40 and 27? (a) 27 (b) 28 (c) 39 (d) 17
  38. 38.What is the median of 30, 21, 16, 22, 3, 6 and 37? (a) 22 (b) 20 (c) 21 (d) 16
  39. 39.What is the mean of 4, 13, 4, 7, 2 and 6? (a) 8 (b) 6 (c) 7 (d) 5
  40. 40.What is the median of 30, 9, 7, 12 and 5? (a) 9 (b) 12 (c) 10 (d) 7

Answer key

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

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