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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 384 · 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 37. When the number 30 is added to them, what is the new mean? (a) 35 (b) 36 (c) 38 (d) 37
  2. 2.What is the mode of 3, 1, 3, 1, 5, 4 and 3? (a) 3 (b) 4 (c) 1 (d) 5
  3. 3.What is the mean of 5, 3, 13, 13 and 11? (a) 8 (b) 9 (c) 10 (d) 11
  4. 4.What is the mean of 2, 2, 10 and 6? (a) 6 (b) 5 (c) 4 (d) 7
  5. 5.What is the mode of 10, 14, 10, 10, 14, 6 and 4? (a) 4 (b) 10 (c) 6 (d) 14
  6. 6.What is the median of 18, 23, 28, 4, 31, 35 and 33? (a) 4 (b) 31 (c) 28 (d) 23
  7. 7.What is the mean of 6, 8, 5, 6 and 5? (a) 7 (b) 6 (c) 5 (d) 8
  8. 8.What is the median of 21, 12, 11, 38 and 24? (a) 24 (b) 21 (c) 12 (d) 11
  9. 9.What is the mean of 19, 13, 2, 4 and 12? (a) 9 (b) 11 (c) 12 (d) 10
  10. 10.What is the mean of 13, 16, 17, 2 and 7? (a) 12 (b) 11 (c) 13 (d) 10
  11. 11.What is the median of 13, 3, 1, 32, 31, 11 and 4? (a) 13 (b) 4 (c) 32 (d) 11
  12. 12.What is the mean of 13, 6, 2, 12, 7 and 20? (a) 9 (b) 12 (c) 11 (d) 10
  13. 13.What is the mode of 8, 13, 17, 2, 13, 17 and 17? (a) 13 (b) 2 (c) 17 (d) 8
  14. 14.The mean of 7 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 22
  15. 15.What is the mode of 17, 4, 9, 9, 9, 1 and 1? (a) 17 (b) 4 (c) 9 (d) 1
  16. 16.What is the mean of 20, 15, 18 and 11? (a) 17 (b) 16 (c) 15 (d) 18
  17. 17.What is the median of 3, 31, 37, 20, 13, 40 and 17? (a) 20 (b) 17 (c) 23 (d) 31
  18. 18.What is the mode of 19, 2, 20, 19, 6, 6 and 19? (a) 2 (b) 20 (c) 6 (d) 19
  19. 19.What is the mean of 5, 14, 17, 17 and 7? (a) 15 (b) 10 (c) 12 (d) 13
  20. 20.What is the median of 1, 23, 3, 31 and 4? (a) 5 (b) 3 (c) 23 (d) 4
  21. 21.What is the median of 22, 34, 13, 23 and 12? (a) 23 (b) 22 (c) 13 (d) 21
  22. 22.What is the mode of 12, 12, 8, 10, 8, 8 and 14? (a) 12 (b) 14 (c) 10 (d) 8
  23. 23.What is the median of 33, 32, 3, 34, 22, 36 and 29? (a) 34 (b) 33 (c) 32 (d) 27
  24. 24.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) 23 (d) 35
  25. 25.What is the mode of 17, 15, 10, 11, 10, 15 and 15? (a) 11 (b) 17 (c) 15 (d) 10
  26. 26.The mean of 7 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 18 (b) 10 (c) 16 (d) 17
  27. 27.What is the median of 39, 26, 2, 7, 16, 1 and 4? (a) 7 (b) 16 (c) 4 (d) 8
  28. 28.What is the mode of 12, 14, 17, 12, 17, 20 and 17? (a) 14 (b) 17 (c) 12 (d) 20
  29. 29.What is the median of 5, 27, 20, 8 and 9? (a) 8 (b) 20 (c) 10 (d) 9
  30. 30.What is the median of 31, 2, 5, 37, 4, 35 and 40? (a) 37 (b) 31 (c) 35 (d) 22
  31. 31.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 17
  32. 32.What is the median of 7, 33, 35, 17 and 18? (a) 18 (b) 33 (c) 35 (d) 22
  33. 33.The mean of 8 numbers is 17. When the number 8 is added to them, what is the new mean? (a) 18 (b) 16 (c) 15 (d) 17
  34. 34.What is the median of 2, 35, 34, 10, 22, 39 and 9? (a) 23 (b) 22 (c) 34 (d) 10
  35. 35.What is the mean of 10, 11, 3, 9, 3 and 12? (a) 10 (b) 9 (c) 8 (d) 7
  36. 36.What is the mean of 2, 3, 4, 6 and 10? (a) 7 (b) 4 (c) 6 (d) 5
  37. 37.The mean of 3 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 12 (b) 18 (c) 16 (d) 15
  38. 38.What is the mode of 7, 20, 3, 3, 20, 5 and 20? (a) 20 (b) 7 (c) 5 (d) 3
  39. 39.What is the median of 9, 31, 1, 16, 24, 15 and 11? (a) 14 (b) 16 (c) 11 (d) 15
  40. 40.What is the mode of 4, 1, 4, 5, 5, 7 and 4? (a) 7 (b) 4 (c) 5 (d) 1

Answer key

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

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