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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 262 · 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 39. When the number 27 is added to them, what is the new mean? (a) 37 (b) 38 (c) 39 (d) 33
  2. 2.The mean of 3 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 11 (b) 15 (c) 13 (d) 14
  3. 3.What is the mode of 1, 1, 8, 8, 7, 10 and 1? (a) 10 (b) 7 (c) 1 (d) 8
  4. 4.What is the mean of 8, 14, 15 and 7? (a) 13 (b) 12 (c) 11 (d) 10
  5. 5.What is the median of 7, 15, 12, 21 and 3? (a) 15 (b) 7 (c) 12 (d) 13
  6. 6.What is the mode of 2, 2, 11, 2, 11, 10 and 17? (a) 2 (b) 17 (c) 10 (d) 11
  7. 7.What is the mode of 13, 5, 6, 7, 13, 5 and 13? (a) 6 (b) 7 (c) 13 (d) 5
  8. 8.The mean of 7 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 38 (b) 28 (c) 37 (d) 40
  9. 9.What is the mode of 7, 9, 5, 5, 7, 3 and 7? (a) 7 (b) 5 (c) 3 (d) 9
  10. 10.What is the mode of 3, 7, 2, 2, 2, 9 and 7? (a) 2 (b) 9 (c) 7 (d) 3
  11. 11.What is the mean of 2, 16, 5, 6 and 11? (a) 10 (b) 9 (c) 8 (d) 7
  12. 12.What is the mean of 12, 15, 18, 4, 11 and 18? (a) 15 (b) 14 (c) 12 (d) 13
  13. 13.What is the mean of 7, 5, 16, 7, 12 and 7? (a) 10 (b) 8 (c) 11 (d) 9
  14. 14.What is the median of 34, 23, 2, 26, 6, 1 and 31? (a) 26 (b) 6 (c) 24 (d) 23
  15. 15.What is the median of 7, 18, 1, 26, 9, 38 and 39? (a) 9 (b) 18 (c) 26 (d) 19
  16. 16.What is the mode of 1, 17, 7, 15, 15, 7 and 15? (a) 17 (b) 1 (c) 15 (d) 7
  17. 17.What is the mean of 16, 5, 15 and 16? (a) 12 (b) 15 (c) 14 (d) 13
  18. 18.What is the mode of 7, 9, 9, 7, 2, 20 and 7? (a) 2 (b) 20 (c) 7 (d) 9
  19. 19.What is the mean of 12, 4, 18 and 10? (a) 10 (b) 13 (c) 12 (d) 11
  20. 20.What is the mode of 5, 3, 11, 14, 5, 3 and 5? (a) 3 (b) 14 (c) 5 (d) 11
  21. 21.What is the median of 5, 21, 40, 18, 27, 14 and 24? (a) 21 (b) 18 (c) 24 (d) 22
  22. 22.What is the median of 7, 1, 6, 23, 12, 22 and 28? (a) 22 (b) 23 (c) 12 (d) 7
  23. 23.What is the median of 30, 7, 12, 32, 27, 6 and 17? (a) 17 (b) 27 (c) 32 (d) 12
  24. 24.What is the mean of 14, 10, 7 and 5? (a) 8 (b) 10 (c) 9 (d) 12
  25. 25.What is the mode of 19, 1, 1, 2, 2, 2 and 18? (a) 19 (b) 18 (c) 1 (d) 2
  26. 26.What is the mean of 15, 19, 19, 19 and 23? (a) 20 (b) 21 (c) 18 (d) 19
  27. 27.What is the median of 39, 16, 37, 18 and 10? (a) 18 (b) 24 (c) 16 (d) 37
  28. 28.What is the median of 17, 23, 32, 30, 38, 10 and 36? (a) 32 (b) 23 (c) 31 (d) 30
  29. 29.The mean of 5 numbers is 11. When the number 35 is added to them, what is the new mean? (a) 11 (b) 23 (c) 16 (d) 15
  30. 30.What is the median of 38, 25, 26, 20, 5, 12 and 28? (a) 22 (b) 25 (c) 20 (d) 26
  31. 31.What is the mean of 4, 16, 10, 2, 18 and 4? (a) 11 (b) 9 (c) 8 (d) 10
  32. 32.What is the mean of 11, 19, 10 and 12? (a) 14 (b) 15 (c) 12 (d) 13
  33. 33.What is the mode of 12, 4, 17, 4, 12, 2 and 4? (a) 4 (b) 2 (c) 12 (d) 17
  34. 34.What is the mode of 10, 19, 14, 8, 14, 10 and 10? (a) 8 (b) 10 (c) 14 (d) 19
  35. 35.What is the mode of 3, 14, 14, 14, 16, 16 and 20? (a) 16 (b) 3 (c) 14 (d) 20
  36. 36.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 9 (c) 13 (d) 12
  37. 37.What is the mean of 2, 20, 12, 17 and 19? (a) 13 (b) 16 (c) 15 (d) 14
  38. 38.What is the median of 5, 37, 21, 14 and 26? (a) 22 (b) 21 (c) 26 (d) 14
  39. 39.What is the median of 6, 24, 8, 7 and 2? (a) 9 (b) 6 (c) 7 (d) 8
  40. 40.What is the mean of 20, 9, 11 and 4? (a) 12 (b) 10 (c) 13 (d) 11

Answer key

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

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