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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 640 · 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 5 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 32 (b) 31 (c) 35 (d) 23
  2. 2.What is the mean of 15, 11, 14, 15, 14 and 21? (a) 15 (b) 18 (c) 14 (d) 16
  3. 3.What is the mean of 11, 2, 15, 16 and 16? (a) 13 (b) 10 (c) 15 (d) 12
  4. 4.The mean of 3 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 42 (b) 46 (c) 43 (d) 38
  5. 5.What is the mode of 4, 1, 12, 1, 12, 12 and 6? (a) 1 (b) 4 (c) 6 (d) 12
  6. 6.What is the mode of 6, 6, 3, 2, 3, 6 and 4? (a) 6 (b) 4 (c) 3 (d) 2
  7. 7.The mean of 4 numbers is 24. When the number 29 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 24
  8. 8.What is the mode of 5, 4, 4, 5, 10, 5 and 1? (a) 1 (b) 4 (c) 10 (d) 5
  9. 9.What is the median of 18, 24, 40, 21 and 10? (a) 24 (b) 21 (c) 40 (d) 18
  10. 10.The mean of 5 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 29 (b) 25 (c) 34 (d) 28
  11. 11.What is the mode of 8, 15, 3, 15, 15, 6 and 8? (a) 6 (b) 8 (c) 3 (d) 15
  12. 12.The mean of 8 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 28 (b) 36 (c) 35 (d) 37
  13. 13.What is the mode of 12, 18, 9, 9, 11, 9 and 18? (a) 9 (b) 18 (c) 12 (d) 11
  14. 14.What is the median of 34, 8, 32, 27, 13, 4 and 9? (a) 13 (b) 14 (c) 27 (d) 9
  15. 15.What is the median of 3, 31, 14, 26, 29, 22 and 5? (a) 14 (b) 26 (c) 23 (d) 22
  16. 16.What is the mean of 17, 10, 13 and 20? (a) 15 (b) 16 (c) 20 (d) 12
  17. 17.The mean of 7 numbers is 34. When the number 66 is added to them, what is the new mean? (a) 38 (b) 39 (c) 50 (d) 34
  18. 18.What is the mean of 18, 9, 5 and 12? (a) 13 (b) 11 (c) 12 (d) 10
  19. 19.What is the mode of 18, 13, 12, 12, 13, 13 and 1? (a) 13 (b) 1 (c) 12 (d) 18
  20. 20.What is the mean of 19, 9, 17, 2 and 8? (a) 10 (b) 12 (c) 11 (d) 13
  21. 21.What is the mean of 3, 11, 15 and 11? (a) 11 (b) 10 (c) 9 (d) 8
  22. 22.What is the mean of 5, 3, 3, 10 and 19? (a) 10 (b) 9 (c) 7 (d) 8
  23. 23.The mean of 3 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 28 (b) 25 (c) 20 (d) 24
  24. 24.What is the mean of 9, 2, 5, 8 and 16? (a) 7 (b) 8 (c) 9 (d) 10
  25. 25.What is the mean of 2, 2, 5, 7 and 14? (a) 7 (b) 6 (c) 5 (d) 8
  26. 26.What is the mode of 12, 12, 3, 20, 5, 5 and 12? (a) 3 (b) 5 (c) 20 (d) 12
  27. 27.What is the mean of 4, 7, 14, 16 and 9? (a) 12 (b) 11 (c) 10 (d) 9
  28. 28.What is the median of 37, 12, 27, 13, 40, 22 and 2? (a) 27 (b) 23 (c) 22 (d) 13
  29. 29.What is the median of 3, 37, 22, 8, 11, 13 and 33? (a) 13 (b) 11 (c) 22 (d) 8
  30. 30.What is the median of 28, 8, 13, 33 and 9? (a) 14 (b) 9 (c) 13 (d) 28
  31. 31.The mean of 6 numbers is 17. When the number 45 is added to them, what is the new mean? (a) 22 (b) 21 (c) 17 (d) 31
  32. 32.The mean of 9 numbers is 28. When the number 58 is added to them, what is the new mean? (a) 43 (b) 32 (c) 31 (d) 28
  33. 33.What is the mean of 3, 9, 14 and 6? (a) 9 (b) 10 (c) 8 (d) 7
  34. 34.The mean of 9 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 20 (b) 16 (c) 19 (d) 21
  35. 35.What is the median of 6, 39, 15, 7 and 10? (a) 11 (b) 7 (c) 15 (d) 10
  36. 36.What is the median of 10, 16, 38, 4 and 22? (a) 22 (b) 16 (c) 18 (d) 38
  37. 37.What is the median of 1, 7, 11, 6, 31, 5 and 4? (a) 5 (b) 8 (c) 6 (d) 7
  38. 38.The mean of 5 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 37 (b) 32 (c) 36 (d) 38
  39. 39.What is the mean of 11, 6, 15, 19 and 4? (a) 10 (b) 11 (c) 12 (d) 13
  40. 40.What is the median of 15, 21, 4, 19, 33, 23 and 7? (a) 19 (b) 20 (c) 15 (d) 21

Answer key

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

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