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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 534 · 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 18, 7, 6, 3, 17 and 15? (a) 12 (b) 11 (c) 13 (d) 10
  2. 2.What is the mode of 11, 20, 6, 7, 7, 11 and 11? (a) 20 (b) 7 (c) 6 (d) 11
  3. 3.What is the mean of 2, 4, 3, 12 and 19? (a) 9 (b) 7 (c) 10 (d) 8
  4. 4.The mean of 7 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 33 (b) 31 (c) 35 (d) 32
  5. 5.What is the median of 29, 5, 8, 7 and 30? (a) 29 (b) 7 (c) 9 (d) 8
  6. 6.The mean of 7 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 33 (b) 36 (c) 41 (d) 35
  7. 7.What is the mean of 16, 17, 14, 20 and 13? (a) 15 (b) 20 (c) 16 (d) 17
  8. 8.What is the median of 5, 11, 35, 12 and 40? (a) 13 (b) 11 (c) 35 (d) 12
  9. 9.What is the mean of 4, 5, 6 and 5? (a) 4 (b) 6 (c) 7 (d) 5
  10. 10.What is the mean of 16, 6, 17 and 9? (a) 16 (b) 11 (c) 12 (d) 13
  11. 11.What is the mode of 10, 6, 9, 9, 1, 10 and 10? (a) 6 (b) 9 (c) 10 (d) 1
  12. 12.What is the mean of 12, 3, 15 and 14? (a) 12 (b) 13 (c) 10 (d) 11
  13. 13.The mean of 8 numbers is 19. When the number 10 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 20
  14. 14.What is the median of 27, 5, 9, 20, 22, 35 and 6? (a) 21 (b) 20 (c) 9 (d) 22
  15. 15.What is the mean of 12, 17, 2, 15, 2 and 24? (a) 14 (b) 13 (c) 11 (d) 12
  16. 16.What is the mode of 20, 14, 14, 10, 16, 16 and 16? (a) 16 (b) 20 (c) 10 (d) 14
  17. 17.What is the mode of 10, 17, 2, 17, 5, 10 and 10? (a) 10 (b) 2 (c) 5 (d) 17
  18. 18.The mean of 9 numbers is 10. When the number 50 is added to them, what is the new mean? (a) 14 (b) 15 (c) 30 (d) 10
  19. 19.What is the mean of 4, 5, 5, 6, 16 and 6? (a) 8 (b) 9 (c) 6 (d) 7
  20. 20.What is the median of 25, 36, 38, 18, 15, 3 and 1? (a) 19 (b) 18 (c) 25 (d) 15
  21. 21.What is the mode of 7, 12, 14, 8, 8, 14 and 8? (a) 7 (b) 12 (c) 8 (d) 14
  22. 22.What is the mode of 13, 6, 6, 8, 8, 4 and 8? (a) 8 (b) 6 (c) 4 (d) 13
  23. 23.What is the mean of 7, 8, 13, 6 and 6? (a) 10 (b) 9 (c) 7 (d) 8
  24. 24.What is the mode of 17, 5, 1, 8, 1, 17 and 17? (a) 17 (b) 1 (c) 8 (d) 5
  25. 25.The mean of 9 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 23 (b) 24 (c) 21 (d) 31
  26. 26.What is the mean of 11, 17, 5 and 3? (a) 9 (b) 8 (c) 12 (d) 10
  27. 27.What is the mean of 12, 17, 8, 19 and 9? (a) 14 (b) 12 (c) 13 (d) 15
  28. 28.What is the mean of 20, 7, 10, 18, 12 and 5? (a) 11 (b) 13 (c) 12 (d) 14
  29. 29.The mean of 4 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 26 (b) 28 (c) 25 (d) 23
  30. 30.What is the mode of 4, 8, 4, 8, 4, 6 and 15? (a) 6 (b) 15 (c) 4 (d) 8
  31. 31.What is the median of 36, 28, 29, 31, 19, 22 and 14? (a) 29 (b) 28 (c) 31 (d) 22
  32. 32.What is the mean of 16, 8, 16, 15, 8 and 9? (a) 11 (b) 13 (c) 14 (d) 12
  33. 33.What is the median of 32, 35, 12, 13 and 3? (a) 19 (b) 12 (c) 32 (d) 13
  34. 34.What is the mean of 2, 18, 13, 14 and 8? (a) 12 (b) 13 (c) 10 (d) 11
  35. 35.What is the mean of 15, 13, 8, 13 and 11? (a) 12 (b) 15 (c) 13 (d) 10
  36. 36.What is the median of 9, 21, 35, 22 and 4? (a) 35 (b) 22 (c) 9 (d) 21
  37. 37.What is the mode of 16, 2, 2, 4, 13, 2 and 13? (a) 16 (b) 2 (c) 4 (d) 13
  38. 38.What is the median of 8, 12, 25, 5, 34, 38 and 17? (a) 25 (b) 17 (c) 12 (d) 5
  39. 39.What is the mean of 16, 12, 16, 20, 13 and 7? (a) 13 (b) 12 (c) 14 (d) 15
  40. 40.What is the mean of 16, 6, 9, 5 and 19? (a) 11 (b) 13 (c) 12 (d) 10

Answer key

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

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