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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 409 · 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 6 numbers is 15. When the number 43 is added to them, what is the new mean? (a) 15 (b) 29 (c) 19 (d) 20
  2. 2.What is the median of 36, 37, 2, 3 and 9? (a) 3 (b) 36 (c) 9 (d) 2
  3. 3.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 24 (b) 25 (c) 22 (d) 23
  4. 4.The mean of 3 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 37 (b) 41 (c) 40 (d) 39
  5. 5.The mean of 5 numbers is 26. When the number 50 is added to them, what is the new mean? (a) 31 (b) 26 (c) 38 (d) 30
  6. 6.What is the mean of 15, 20, 8, 5 and 7? (a) 13 (b) 10 (c) 12 (d) 11
  7. 7.What is the mean of 3, 20, 15, 5, 10 and 7? (a) 11 (b) 9 (c) 10 (d) 12
  8. 8.What is the mean of 4, 20, 16 and 4? (a) 10 (b) 13 (c) 11 (d) 12
  9. 9.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 23 (b) 24 (c) 22 (d) 25
  10. 10.The mean of 3 numbers is 30. When the number 26 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 28
  11. 11.What is the mode of 18, 18, 5, 11, 11, 4 and 18? (a) 4 (b) 5 (c) 11 (d) 18
  12. 12.What is the mean of 12, 18, 11 and 19? (a) 20 (b) 12 (c) 16 (d) 15
  13. 13.What is the mode of 8, 18, 10, 10, 20, 10 and 18? (a) 18 (b) 20 (c) 8 (d) 10
  14. 14.What is the median of 39, 4, 28, 35, 32, 12 and 26? (a) 35 (b) 28 (c) 32 (d) 26
  15. 15.What is the median of 9, 4, 16, 32, 6, 28 and 20? (a) 20 (b) 32 (c) 9 (d) 16
  16. 16.The mean of 4 numbers is 18. When the number 23 is added to them, what is the new mean? (a) 20 (b) 21 (c) 19 (d) 18
  17. 17.What is the mean of 4, 3, 3, 10 and 5? (a) 7 (b) 4 (c) 5 (d) 6
  18. 18.What is the mean of 15, 18, 16 and 11? (a) 12 (b) 20 (c) 16 (d) 15
  19. 19.What is the median of 15, 12, 1, 17 and 19? (a) 12 (b) 15 (c) 17 (d) 1
  20. 20.What is the median of 36, 31, 21, 25, 27, 24 and 26? (a) 28 (b) 27 (c) 26 (d) 25
  21. 21.What is the mean of 18, 4, 9 and 5? (a) 9 (b) 8 (c) 12 (d) 10
  22. 22.What is the mode of 17, 17, 17, 10, 1, 3 and 1? (a) 1 (b) 3 (c) 10 (d) 17
  23. 23.The mean of 4 numbers is 39. When the number 24 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 39
  24. 24.What is the mean of 3, 6, 17 and 22? (a) 12 (b) 13 (c) 11 (d) 16
  25. 25.The mean of 6 numbers is 23. When the number 51 is added to them, what is the new mean? (a) 23 (b) 27 (c) 28 (d) 37
  26. 26.What is the median of 9, 4, 8, 20, 34, 30 and 6? (a) 8 (b) 9 (c) 10 (d) 20
  27. 27.What is the mean of 7, 9, 5, 8, 14 and 17? (a) 10 (b) 11 (c) 9 (d) 12
  28. 28.What is the mode of 19, 19, 18, 1, 16, 18 and 19? (a) 16 (b) 18 (c) 1 (d) 19
  29. 29.What is the median of 8, 7, 13, 26 and 21? (a) 21 (b) 15 (c) 13 (d) 8
  30. 30.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 27 (b) 37 (c) 34 (d) 33
  31. 31.What is the mode of 4, 9, 4, 9, 7, 12 and 4? (a) 9 (b) 7 (c) 12 (d) 4
  32. 32.The mean of 4 numbers is 29. When the number 24 is added to them, what is the new mean? (a) 27 (b) 28 (c) 30 (d) 29
  33. 33.What is the mode of 13, 4, 19, 10, 4, 13 and 13? (a) 19 (b) 13 (c) 4 (d) 10
  34. 34.What is the mean of 6, 8, 19, 16, 20 and 15? (a) 15 (b) 12 (c) 13 (d) 14
  35. 35.What is the mean of 2, 15, 20 and 15? (a) 15 (b) 12 (c) 14 (d) 13
  36. 36.What is the mode of 14, 12, 8, 14, 14, 20 and 8? (a) 14 (b) 12 (c) 20 (d) 8
  37. 37.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 24
  38. 38.What is the mode of 9, 7, 12, 7, 1, 1 and 1? (a) 1 (b) 7 (c) 12 (d) 9
  39. 39.What is the mean of 7, 8, 15 and 22? (a) 14 (b) 12 (c) 15 (d) 13
  40. 40.What is the mean of 5, 15, 9 and 7? (a) 9 (b) 10 (c) 8 (d) 12

Answer key

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

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