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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 773 · 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.The mean of 5 numbers is 37. When the number 43 is added to them, what is the new mean? (a) 37 (b) 39 (c) 38 (d) 40
  2. 2.What is the median of 30, 19, 33, 31 and 11? (a) 33 (b) 30 (c) 19 (d) 31
  3. 3.The mean of 7 numbers is 29. When the number 61 is added to them, what is the new mean? (a) 34 (b) 45 (c) 29 (d) 33
  4. 4.What is the mean of 10, 9, 19 and 6? (a) 12 (b) 11 (c) 10 (d) 13
  5. 5.What is the mean of 16, 14, 3, 14, 13 and 18? (a) 14 (b) 12 (c) 15 (d) 13
  6. 6.What is the median of 25, 6, 31, 29, 12, 35 and 2? (a) 20 (b) 29 (c) 25 (d) 12
  7. 7.What is the median of 11, 23, 10, 29, 15, 3 and 7? (a) 29 (b) 15 (c) 11 (d) 14
  8. 8.What is the median of 10, 32, 7, 37, 28, 40 and 2? (a) 28 (b) 32 (c) 10 (d) 37
  9. 9.What is the mean of 14, 2, 13 and 11? (a) 10 (b) 9 (c) 11 (d) 8
  10. 10.What is the mode of 20, 15, 18, 19, 18, 20 and 18? (a) 20 (b) 18 (c) 15 (d) 19
  11. 11.What is the mean of 14, 7, 18, 7, 17 and 9? (a) 13 (b) 11 (c) 14 (d) 12
  12. 12.What is the median of 29, 4, 2, 16 and 26? (a) 26 (b) 4 (c) 16 (d) 2
  13. 13.What is the mode of 16, 20, 7, 10, 7, 7 and 16? (a) 20 (b) 10 (c) 7 (d) 16
  14. 14.What is the mean of 4, 7, 2, 15, 16 and 4? (a) 7 (b) 10 (c) 9 (d) 8
  15. 15.What is the mean of 15, 11, 20, 14 and 5? (a) 12 (b) 15 (c) 13 (d) 14
  16. 16.What is the median of 33, 25, 1, 7, 19, 4 and 32? (a) 25 (b) 7 (c) 20 (d) 19
  17. 17.What is the mean of 9, 8, 6 and 9? (a) 8 (b) 7 (c) 10 (d) 9
  18. 18.What is the mean of 3, 20, 4, 17 and 16? (a) 15 (b) 10 (c) 12 (d) 13
  19. 19.The mean of 4 numbers is 31. When the number 26 is added to them, what is the new mean? (a) 29 (b) 30 (c) 32 (d) 31
  20. 20.What is the mode of 3, 17, 10, 16, 3, 10 and 3? (a) 3 (b) 10 (c) 17 (d) 16
  21. 21.What is the median of 20, 23, 35, 11 and 12? (a) 35 (b) 20 (c) 23 (d) 12
  22. 22.What is the mean of 13, 20, 11, 5, 3 and 14? (a) 12 (b) 11 (c) 13 (d) 10
  23. 23.What is the mean of 20, 15, 20, 15 and 5? (a) 16 (b) 17 (c) 14 (d) 15
  24. 24.What is the mode of 14, 17, 17, 4, 14, 17 and 13? (a) 14 (b) 13 (c) 4 (d) 17
  25. 25.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 15 (b) 20 (c) 18 (d) 17
  26. 26.What is the mean of 7, 20, 15, 19 and 19? (a) 20 (b) 16 (c) 17 (d) 15
  27. 27.The mean of 3 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 29 (b) 28 (c) 30 (d) 26
  28. 28.What is the mean of 11, 12, 9, 14, 15 and 5? (a) 11 (b) 10 (c) 13 (d) 12
  29. 29.What is the mode of 16, 11, 16, 4, 11, 11 and 17? (a) 4 (b) 17 (c) 11 (d) 16
  30. 30.The mean of 5 numbers is 27. When the number 45 is added to them, what is the new mean? (a) 27 (b) 31 (c) 30 (d) 36
  31. 31.What is the mode of 3, 19, 19, 13, 7, 13 and 13? (a) 13 (b) 3 (c) 19 (d) 7
  32. 32.What is the mean of 11, 11, 7, 19, 14 and 10? (a) 14 (b) 13 (c) 11 (d) 12
  33. 33.What is the median of 14, 24, 18, 9 and 36? (a) 24 (b) 18 (c) 19 (d) 14
  34. 34.The mean of 6 numbers is 14. When the number 35 is added to them, what is the new mean? (a) 16 (b) 17 (c) 14 (d) 18
  35. 35.What is the median of 30, 23, 7, 38 and 5? (a) 7 (b) 24 (c) 30 (d) 23
  36. 36.What is the mean of 12, 2, 11, 14, 17 and 4? (a) 9 (b) 10 (c) 12 (d) 11
  37. 37.What is the mode of 11, 15, 6, 15, 11, 4 and 15? (a) 4 (b) 11 (c) 15 (d) 6
  38. 38.The mean of 9 numbers is 32. When the number 2 is added to them, what is the new mean? (a) 30 (b) 17 (c) 29 (d) 32
  39. 39.The mean of 9 numbers is 22. When the number 32 is added to them, what is the new mean? (a) 22 (b) 23 (c) 27 (d) 24
  40. 40.What is the mean of 18, 3, 13, 10, 18 and 22? (a) 13 (b) 14 (c) 12 (d) 15

Answer key

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

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