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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 553 · 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 9 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 12 (b) 22 (c) 21 (d) 20
  2. 2.What is the mode of 7, 8, 3, 7, 6, 3 and 3? (a) 7 (b) 8 (c) 6 (d) 3
  3. 3.The mean of 9 numbers is 25. When the number 15 is added to them, what is the new mean? (a) 24 (b) 23 (c) 20 (d) 25
  4. 4.What is the mode of 12, 14, 4, 19, 12, 19 and 19? (a) 14 (b) 19 (c) 4 (d) 12
  5. 5.What is the mean of 20, 11, 12, 8, 18 and 15? (a) 13 (b) 12 (c) 14 (d) 15
  6. 6.What is the mean of 15, 20, 18 and 19? (a) 24 (b) 17 (c) 18 (d) 19
  7. 7.What is the median of 17, 2, 11, 36 and 26? (a) 26 (b) 11 (c) 17 (d) 18
  8. 8.What is the median of 33, 35, 23, 22 and 26? (a) 27 (b) 26 (c) 23 (d) 33
  9. 9.What is the mean of 17, 15, 17, 6 and 5? (a) 10 (b) 15 (c) 13 (d) 12
  10. 10.What is the mode of 7, 17, 2, 13, 7, 7 and 13? (a) 13 (b) 2 (c) 17 (d) 7
  11. 11.What is the mode of 20, 10, 20, 20, 3, 3 and 19? (a) 3 (b) 19 (c) 10 (d) 20
  12. 12.The mean of 7 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 13 (b) 15 (c) 16 (d) 21
  13. 13.The mean of 9 numbers is 22. When the number 62 is added to them, what is the new mean? (a) 22 (b) 27 (c) 26 (d) 42
  14. 14.What is the mode of 8, 8, 12, 12, 3, 12 and 13? (a) 13 (b) 12 (c) 8 (d) 3
  15. 15.The mean of 7 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 37 (b) 34 (c) 46 (d) 38
  16. 16.What is the median of 29, 6, 22, 15, 1, 9 and 28? (a) 16 (b) 22 (c) 15 (d) 9
  17. 17.What is the median of 18, 9, 30, 12 and 5? (a) 18 (b) 12 (c) 30 (d) 9
  18. 18.What is the mean of 2, 10, 2, 3 and 18? (a) 9 (b) 7 (c) 8 (d) 6
  19. 19.What is the median of 11, 21, 35, 9, 27, 8 and 19? (a) 9 (b) 21 (c) 19 (d) 11
  20. 20.What is the mode of 18, 3, 2, 3, 18, 4 and 3? (a) 2 (b) 3 (c) 4 (d) 18
  21. 21.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 21
  22. 22.The mean of 5 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 30 (b) 32 (c) 33 (d) 36
  23. 23.What is the mean of 19, 18, 20, 10 and 23? (a) 19 (b) 15 (c) 18 (d) 17
  24. 24.What is the median of 5, 40, 4, 22 and 12? (a) 4 (b) 12 (c) 5 (d) 22
  25. 25.What is the mean of 15, 2, 8 and 7? (a) 9 (b) 8 (c) 10 (d) 7
  26. 26.The mean of 6 numbers is 25. When the number 39 is added to them, what is the new mean? (a) 25 (b) 32 (c) 27 (d) 28
  27. 27.What is the mode of 9, 4, 1, 7, 1, 4 and 1? (a) 1 (b) 4 (c) 9 (d) 7
  28. 28.The mean of 6 numbers is 22. When the number 43 is added to them, what is the new mean? (a) 22 (b) 26 (c) 24 (d) 25
  29. 29.What is the median of 40, 38, 24, 37, 3, 17 and 35? (a) 24 (b) 36 (c) 35 (d) 37
  30. 30.What is the mode of 10, 5, 10, 18, 18, 10 and 16? (a) 18 (b) 10 (c) 16 (d) 5
  31. 31.The mean of 7 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 32
  32. 32.What is the mode of 4, 19, 3, 3, 19, 19 and 11? (a) 11 (b) 3 (c) 19 (d) 4
  33. 33.What is the median of 6, 37, 24, 2 and 13? (a) 24 (b) 6 (c) 13 (d) 14
  34. 34.What is the mode of 5, 6, 4, 5, 5, 4 and 14? (a) 6 (b) 5 (c) 14 (d) 4
  35. 35.What is the median of 6, 36, 14, 33 and 28? (a) 33 (b) 29 (c) 14 (d) 28
  36. 36.The mean of 4 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 45 (b) 40 (c) 44 (d) 50
  37. 37.What is the mode of 19, 19, 18, 18, 19, 9 and 6? (a) 19 (b) 6 (c) 18 (d) 9
  38. 38.What is the mode of 9, 10, 9, 9, 11, 12 and 12? (a) 12 (b) 9 (c) 11 (d) 10
  39. 39.What is the mean of 5, 3, 11, 14, 10 and 17? (a) 12 (b) 9 (c) 11 (d) 10
  40. 40.What is the median of 23, 40, 1, 30 and 39? (a) 1 (b) 23 (c) 39 (d) 30

Answer key

  1. 20
  2. 3
  3. 24
  4. 19
  5. 14
  6. 18
  7. 17
  8. 26
  9. 12
  10. 7
  11. 20
  12. 15
  13. 26
  14. 12
  15. 37
  16. 15
  17. 12
  18. 7
  19. 19
  20. 3
  21. 19
  22. 32
  23. 18
  24. 12
  25. 8
  26. 27
  27. 1
  28. 25
  29. 35
  30. 10
  31. 35
  32. 19
  33. 13
  34. 5
  35. 28
  36. 44
  37. 19
  38. 9
  39. 10
  40. 30

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