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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 237 · 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 22. When the number 17 is added to them, what is the new mean? (a) 23 (b) 20 (c) 21 (d) 22
  2. 2.The mean of 7 numbers is 36. When the number 4 is added to them, what is the new mean? (a) 20 (b) 32 (c) 36 (d) 33
  3. 3.What is the median of 20, 32, 39, 13 and 21? (a) 32 (b) 39 (c) 21 (d) 25
  4. 4.What is the mode of 2, 2, 12, 12, 2, 9 and 14? (a) 2 (b) 12 (c) 14 (d) 9
  5. 5.What is the mean of 10, 18, 18, 16 and 13? (a) 16 (b) 17 (c) 14 (d) 15
  6. 6.What is the mode of 13, 6, 13, 13, 19, 20 and 19? (a) 6 (b) 13 (c) 20 (d) 19
  7. 7.The mean of 5 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 21 (b) 16 (c) 20 (d) 22
  8. 8.What is the median of 1, 23, 26, 10, 18, 30 and 5? (a) 23 (b) 18 (c) 19 (d) 10
  9. 9.What is the median of 26, 29, 7, 8, 23, 9 and 20? (a) 8 (b) 23 (c) 9 (d) 20
  10. 10.What is the mode of 18, 3, 7, 4, 3, 3 and 18? (a) 4 (b) 7 (c) 18 (d) 3
  11. 11.What is the median of 39, 23, 1, 27 and 34? (a) 1 (b) 34 (c) 27 (d) 23
  12. 12.What is the median of 31, 15, 36, 5, 4, 6 and 1? (a) 14 (b) 5 (c) 6 (d) 15
  13. 13.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 36 (b) 32 (c) 33 (d) 34
  14. 14.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 18 (b) 20 (c) 17 (d) 19
  15. 15.What is the mode of 15, 15, 15, 13, 8, 19 and 19? (a) 13 (b) 8 (c) 19 (d) 15
  16. 16.What is the mode of 16, 16, 7, 10, 10, 16 and 14? (a) 16 (b) 14 (c) 7 (d) 10
  17. 17.What is the mean of 11, 9, 19, 17, 15 and 7? (a) 12 (b) 15 (c) 13 (d) 14
  18. 18.What is the mean of 2, 8, 11 and 19? (a) 10 (b) 9 (c) 8 (d) 11
  19. 19.What is the mean of 13, 10, 7 and 18? (a) 16 (b) 13 (c) 11 (d) 12
  20. 20.What is the mean of 13, 16, 2, 6, 17 and 18? (a) 11 (b) 13 (c) 12 (d) 14
  21. 21.What is the median of 2, 20, 6, 30 and 1? (a) 2 (b) 7 (c) 20 (d) 6
  22. 22.What is the mean of 18, 20, 3 and 3? (a) 10 (b) 12 (c) 13 (d) 11
  23. 23.The mean of 6 numbers is 23. When the number 2 is added to them, what is the new mean? (a) 21 (b) 19 (c) 23 (d) 20
  24. 24.What is the median of 12, 33, 36, 4, 29, 24 and 21? (a) 24 (b) 4 (c) 29 (d) 21
  25. 25.What is the mean of 3, 5, 17, 6 and 19? (a) 11 (b) 12 (c) 9 (d) 10
  26. 26.What is the mean of 16, 15, 13, 8 and 8? (a) 12 (b) 13 (c) 15 (d) 10
  27. 27.The mean of 5 numbers is 38. When the number 62 is added to them, what is the new mean? (a) 43 (b) 42 (c) 38 (d) 50
  28. 28.What is the mean of 17, 17, 13, 3, 12 and 10? (a) 13 (b) 14 (c) 11 (d) 12
  29. 29.What is the mean of 13, 5, 17 and 13? (a) 13 (b) 12 (c) 11 (d) 16
  30. 30.What is the mode of 19, 19, 4, 5, 5, 19 and 3? (a) 4 (b) 5 (c) 3 (d) 19
  31. 31.What is the mean of 17, 7, 9 and 15? (a) 12 (b) 13 (c) 11 (d) 16
  32. 32.The mean of 6 numbers is 33. When the number 40 is added to them, what is the new mean? (a) 34 (b) 36 (c) 33 (d) 35
  33. 33.The mean of 8 numbers is 36. When the number 9 is added to them, what is the new mean? (a) 33 (b) 34 (c) 36 (d) 32
  34. 34.What is the mode of 20, 13, 13, 8, 9, 8 and 13? (a) 13 (b) 9 (c) 20 (d) 8
  35. 35.What is the median of 6, 16, 14, 17, 2, 12 and 29? (a) 14 (b) 17 (c) 12 (d) 16
  36. 36.What is the mode of 19, 6, 6, 19, 6, 8 and 11? (a) 8 (b) 6 (c) 11 (d) 19
  37. 37.What is the median of 37, 20, 22, 40 and 6? (a) 20 (b) 22 (c) 37 (d) 25
  38. 38.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 26 (b) 21 (c) 25 (d) 29
  39. 39.What is the mean of 10, 7, 12, 8 and 18? (a) 10 (b) 11 (c) 13 (d) 12
  40. 40.What is the mean of 20, 18, 5, 5 and 22? (a) 13 (b) 16 (c) 15 (d) 14

Answer key

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

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