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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 846 · 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 16, 20, 12, 16, 15 and 23? (a) 17 (b) 16 (c) 19 (d) 18
  2. 2.What is the mean of 15, 3, 8, 8 and 16? (a) 9 (b) 12 (c) 11 (d) 10
  3. 3.What is the mode of 2, 2, 9, 18, 16, 2 and 18? (a) 16 (b) 9 (c) 2 (d) 18
  4. 4.The mean of 9 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 34 (b) 33 (c) 30 (d) 35
  5. 5.The mean of 5 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 42 (b) 40 (c) 46 (d) 43
  6. 6.What is the mode of 2, 2, 5, 3, 6, 3 and 3? (a) 2 (b) 6 (c) 3 (d) 5
  7. 7.The mean of 6 numbers is 39. When the number 67 is added to them, what is the new mean? (a) 44 (b) 39 (c) 43 (d) 53
  8. 8.The mean of 5 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 30 (b) 27 (c) 33 (d) 29
  9. 9.What is the median of 29, 40, 27, 17 and 32? (a) 29 (b) 32 (c) 27 (d) 30
  10. 10.The mean of 3 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 24 (b) 22 (c) 26 (d) 25
  11. 11.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 17 (b) 18 (c) 15 (d) 20
  12. 12.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 15
  13. 13.What is the mode of 13, 14, 3, 14, 3, 14 and 19? (a) 13 (b) 14 (c) 19 (d) 3
  14. 14.What is the median of 17, 24, 28, 36, 20, 29 and 9? (a) 36 (b) 28 (c) 20 (d) 24
  15. 15.What is the mode of 2, 15, 8, 7, 15, 8 and 15? (a) 2 (b) 7 (c) 15 (d) 8
  16. 16.The mean of 6 numbers is 36. When the number 50 is added to them, what is the new mean? (a) 43 (b) 38 (c) 39 (d) 36
  17. 17.What is the median of 24, 38, 9, 12 and 35? (a) 24 (b) 9 (c) 12 (d) 35
  18. 18.What is the mode of 9, 16, 16, 16, 17, 9 and 11? (a) 9 (b) 16 (c) 17 (d) 11
  19. 19.What is the mean of 17, 13, 16, 19 and 5? (a) 13 (b) 15 (c) 16 (d) 14
  20. 20.What is the mode of 16, 13, 11, 10, 13, 10 and 13? (a) 16 (b) 11 (c) 10 (d) 13
  21. 21.What is the mode of 2, 9, 10, 16, 10, 2 and 2? (a) 2 (b) 9 (c) 10 (d) 16
  22. 22.What is the median of 6, 2, 19, 5, 22, 16 and 1? (a) 6 (b) 16 (c) 7 (d) 5
  23. 23.The mean of 3 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 12 (b) 16 (c) 18 (d) 15
  24. 24.The mean of 6 numbers is 11. When the number 32 is added to them, what is the new mean? (a) 15 (b) 14 (c) 11 (d) 13
  25. 25.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 36 (b) 35 (c) 38 (d) 37
  26. 26.What is the median of 30, 17, 7, 10 and 36? (a) 7 (b) 30 (c) 17 (d) 20
  27. 27.What is the mean of 6, 14, 19, 2 and 4? (a) 9 (b) 11 (c) 10 (d) 8
  28. 28.What is the mode of 18, 1, 10, 1, 18, 16 and 18? (a) 10 (b) 1 (c) 18 (d) 16
  29. 29.What is the median of 7, 15, 20, 25 and 29? (a) 20 (b) 15 (c) 21 (d) 25
  30. 30.The mean of 5 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 42 (b) 39 (c) 43 (d) 48
  31. 31.What is the median of 23, 35, 10, 8 and 19? (a) 23 (b) 10 (c) 19 (d) 20
  32. 32.What is the mode of 2, 2, 12, 2, 17, 6 and 6? (a) 17 (b) 12 (c) 2 (d) 6
  33. 33.What is the mean of 2, 7, 2 and 9? (a) 6 (b) 7 (c) 4 (d) 5
  34. 34.What is the mode of 7, 4, 5, 4, 12, 12 and 12? (a) 4 (b) 12 (c) 5 (d) 7
  35. 35.What is the mean of 13, 9, 6, 20 and 12? (a) 13 (b) 12 (c) 10 (d) 15
  36. 36.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 16 (b) 23 (c) 24 (d) 25
  37. 37.What is the mode of 5, 5, 19, 6, 5, 4 and 19? (a) 5 (b) 19 (c) 6 (d) 4
  38. 38.The mean of 7 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 16 (b) 20 (c) 18 (d) 19
  39. 39.What is the median of 10, 1, 32, 16 and 7? (a) 7 (b) 16 (c) 32 (d) 10
  40. 40.What is the median of 1, 28, 13, 29, 23, 27 and 36? (a) 29 (b) 27 (c) 28 (d) 23

Answer key

  1. 17
  2. 10
  3. 2
  4. 34
  5. 42
  6. 3
  7. 43
  8. 29
  9. 29
  10. 24
  11. 17
  12. 15
  13. 14
  14. 24
  15. 15
  16. 38
  17. 24
  18. 16
  19. 14
  20. 13
  21. 2
  22. 6
  23. 15
  24. 14
  25. 36
  26. 17
  27. 9
  28. 18
  29. 20
  30. 42
  31. 19
  32. 2
  33. 5
  34. 12
  35. 12
  36. 23
  37. 5
  38. 19
  39. 10
  40. 27

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