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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 736 · 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 11, 3, 12, 6 and 13? (a) 10 (b) 8 (c) 11 (d) 9
  2. 2.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 8 (b) 14 (c) 12 (d) 11
  3. 3.What is the mean of 7, 9, 20 and 4? (a) 9 (b) 11 (c) 10 (d) 8
  4. 4.The mean of 6 numbers is 21. When the number 35 is added to them, what is the new mean? (a) 28 (b) 24 (c) 21 (d) 23
  5. 5.What is the median of 19, 30, 9, 3 and 35? (a) 9 (b) 19 (c) 20 (d) 30
  6. 6.The mean of 5 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 39 (b) 36 (c) 40 (d) 45
  7. 7.What is the median of 9, 14, 5, 3, 20, 36 and 37? (a) 9 (b) 14 (c) 20 (d) 3
  8. 8.What is the mode of 17, 16, 10, 16, 10, 8 and 16? (a) 16 (b) 10 (c) 17 (d) 8
  9. 9.What is the median of 34, 37, 38, 17, 16, 4 and 35? (a) 33 (b) 34 (c) 35 (d) 17
  10. 10.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 12 (b) 9 (c) 13 (d) 14
  11. 11.What is the mode of 8, 4, 7, 7, 4, 4 and 6? (a) 4 (b) 8 (c) 7 (d) 6
  12. 12.What is the mean of 15, 17, 6 and 22? (a) 15 (b) 12 (c) 20 (d) 16
  13. 13.The mean of 8 numbers is 28. When the number 55 is added to them, what is the new mean? (a) 30 (b) 31 (c) 32 (d) 28
  14. 14.What is the median of 24, 29, 5, 26 and 9? (a) 24 (b) 5 (c) 26 (d) 9
  15. 15.What is the mode of 13, 10, 15, 10, 16, 13 and 10? (a) 10 (b) 16 (c) 13 (d) 15
  16. 16.What is the mode of 8, 12, 17, 13, 12, 17 and 17? (a) 17 (b) 13 (c) 8 (d) 12
  17. 17.What is the mode of 20, 10, 20, 13, 7, 7 and 7? (a) 10 (b) 13 (c) 20 (d) 7
  18. 18.What is the mean of 14, 20, 16, 7 and 8? (a) 12 (b) 13 (c) 15 (d) 14
  19. 19.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 19
  20. 20.What is the mode of 12, 19, 11, 12, 20, 11 and 12? (a) 20 (b) 12 (c) 11 (d) 19
  21. 21.What is the median of 31, 22, 23, 1 and 30? (a) 23 (b) 30 (c) 22 (d) 24
  22. 22.What is the mode of 9, 15, 11, 2, 2, 11 and 11? (a) 9 (b) 2 (c) 15 (d) 11
  23. 23.What is the mode of 2, 1, 19, 19, 4, 19 and 2? (a) 19 (b) 1 (c) 4 (d) 2
  24. 24.What is the mode of 1, 17, 17, 1, 6, 20 and 1? (a) 20 (b) 1 (c) 17 (d) 6
  25. 25.The mean of 3 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 40 (b) 39 (c) 37 (d) 41
  26. 26.What is the mean of 6, 20, 13 and 17? (a) 13 (b) 15 (c) 16 (d) 14
  27. 27.What is the mode of 12, 2, 18, 12, 12, 5 and 5? (a) 2 (b) 5 (c) 18 (d) 12
  28. 28.What is the median of 16, 29, 23, 19, 35, 30 and 24? (a) 19 (b) 23 (c) 29 (d) 24
  29. 29.What is the mode of 17, 17, 17, 9, 9, 4 and 13? (a) 13 (b) 4 (c) 17 (d) 9
  30. 30.What is the mode of 2, 11, 11, 9, 14, 11 and 14? (a) 14 (b) 9 (c) 11 (d) 2
  31. 31.What is the median of 32, 30, 20, 33 and 31? (a) 31 (b) 20 (c) 30 (d) 32
  32. 32.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 21 (b) 19 (c) 14 (d) 20
  33. 33.What is the median of 27, 26, 2, 31 and 36? (a) 31 (b) 2 (c) 27 (d) 26
  34. 34.What is the mean of 7, 2, 18, 5, 15 and 7? (a) 8 (b) 9 (c) 10 (d) 11
  35. 35.The mean of 8 numbers is 27. When the number 9 is added to them, what is the new mean? (a) 25 (b) 18 (c) 26 (d) 27
  36. 36.What is the median of 28, 22, 5, 19, 18, 12 and 30? (a) 22 (b) 20 (c) 18 (d) 19
  37. 37.What is the mean of 11, 8, 18, 19 and 19? (a) 16 (b) 17 (c) 15 (d) 14
  38. 38.What is the mean of 11, 8, 8 and 17? (a) 10 (b) 13 (c) 11 (d) 12
  39. 39.What is the mode of 1, 19, 1, 8, 1, 8 and 9? (a) 1 (b) 19 (c) 8 (d) 9
  40. 40.What is the mean of 13, 12, 9, 13, 4 and 21? (a) 13 (b) 12 (c) 11 (d) 14

Answer key

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

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