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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 545 · 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 25. When the number 18 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 23
  2. 2.What is the mean of 5, 20, 20, 9, 8 and 4? (a) 10 (b) 13 (c) 11 (d) 12
  3. 3.What is the median of 3, 15, 28, 7, 34, 22 and 38? (a) 22 (b) 7 (c) 28 (d) 21
  4. 4.What is the mean of 18, 14, 10, 3 and 10? (a) 10 (b) 11 (c) 12 (d) 13
  5. 5.The mean of 5 numbers is 25. When the number 37 is added to them, what is the new mean? (a) 28 (b) 31 (c) 27 (d) 25
  6. 6.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 20 (b) 19 (c) 18 (d) 17
  7. 7.What is the mode of 15, 15, 2, 3, 15, 3 and 17? (a) 15 (b) 3 (c) 2 (d) 17
  8. 8.What is the mode of 6, 6, 11, 6, 10, 10 and 2? (a) 11 (b) 2 (c) 10 (d) 6
  9. 9.What is the mode of 8, 11, 15, 18, 8, 8 and 11? (a) 18 (b) 11 (c) 8 (d) 15
  10. 10.What is the median of 12, 25, 35, 15, 23, 33 and 1? (a) 24 (b) 15 (c) 23 (d) 25
  11. 11.What is the mean of 10, 11, 4 and 11? (a) 12 (b) 10 (c) 9 (d) 8
  12. 12.The mean of 7 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 36 (b) 40 (c) 38 (d) 39
  13. 13.The mean of 9 numbers is 33. When the number 63 is added to them, what is the new mean? (a) 33 (b) 36 (c) 48 (d) 37
  14. 14.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 16 (b) 15 (c) 17 (d) 18
  15. 15.What is the mean of 5, 3, 2, 11, 4 and 5? (a) 5 (b) 4 (c) 6 (d) 7
  16. 16.The mean of 6 numbers is 32. When the number 4 is added to them, what is the new mean? (a) 32 (b) 18 (c) 28 (d) 29
  17. 17.What is the median of 28, 27, 7, 9, 20, 30 and 39? (a) 9 (b) 28 (c) 27 (d) 20
  18. 18.What is the median of 7, 10, 29, 27 and 13? (a) 13 (b) 29 (c) 27 (d) 10
  19. 19.What is the mode of 18, 18, 14, 14, 7, 5 and 18? (a) 18 (b) 7 (c) 5 (d) 14
  20. 20.What is the mode of 15, 20, 5, 7, 15, 20 and 20? (a) 7 (b) 5 (c) 20 (d) 15
  21. 21.What is the mean of 14, 17, 2, 12 and 5? (a) 9 (b) 12 (c) 11 (d) 10
  22. 22.What is the mode of 5, 9, 5, 9, 18, 11 and 9? (a) 5 (b) 18 (c) 9 (d) 11
  23. 23.What is the mean of 11, 17, 9 and 19? (a) 14 (b) 13 (c) 15 (d) 16
  24. 24.What is the mean of 12, 10, 4, 3 and 16? (a) 8 (b) 9 (c) 11 (d) 10
  25. 25.The mean of 7 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 21 (b) 17 (c) 20 (d) 29
  26. 26.What is the median of 38, 22, 3, 31, 27, 5 and 7? (a) 31 (b) 27 (c) 19 (d) 22
  27. 27.What is the mean of 11, 6, 16, 6 and 11? (a) 12 (b) 11 (c) 9 (d) 10
  28. 28.What is the mean of 10, 9, 11, 9 and 11? (a) 12 (b) 11 (c) 9 (d) 10
  29. 29.What is the mean of 14, 11, 5, 8 and 12? (a) 9 (b) 10 (c) 11 (d) 12
  30. 30.What is the mean of 4, 19, 18, 17 and 22? (a) 20 (b) 15 (c) 16 (d) 17
  31. 31.What is the mean of 2, 9, 5, 11 and 23? (a) 9 (b) 11 (c) 12 (d) 10
  32. 32.What is the mode of 8, 9, 9, 12, 5, 8 and 8? (a) 9 (b) 8 (c) 5 (d) 12
  33. 33.What is the median of 17, 20, 31, 9 and 14? (a) 14 (b) 20 (c) 17 (d) 31
  34. 34.What is the mode of 4, 11, 11, 20, 11, 19 and 19? (a) 19 (b) 4 (c) 20 (d) 11
  35. 35.What is the mean of 11, 20, 15, 2 and 17? (a) 14 (b) 12 (c) 15 (d) 13
  36. 36.The mean of 3 numbers is 39. When the number 43 is added to them, what is the new mean? (a) 40 (b) 42 (c) 41 (d) 39
  37. 37.The mean of 3 numbers is 30. When the number 46 is added to them, what is the new mean? (a) 38 (b) 35 (c) 34 (d) 30
  38. 38.What is the median of 38, 32, 29, 11 and 27? (a) 32 (b) 29 (c) 30 (d) 27
  39. 39.What is the mean of 6, 15, 7, 5, 3 and 18? (a) 9 (b) 8 (c) 11 (d) 10
  40. 40.What is the median of 1, 26, 35, 29 and 34? (a) 35 (b) 34 (c) 29 (d) 25

Answer key

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

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