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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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