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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 712 · 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 17. When the number 12 is added to them, what is the new mean? (a) 15 (b) 18 (c) 16 (d) 17
  2. 2.What is the mode of 15, 6, 15, 6, 15, 12 and 4? (a) 12 (b) 4 (c) 15 (d) 6
  3. 3.What is the median of 40, 29, 26, 2 and 39? (a) 26 (b) 30 (c) 29 (d) 39
  4. 4.What is the mean of 3, 10, 11, 4, 10 and 4? (a) 9 (b) 6 (c) 7 (d) 8
  5. 5.What is the mode of 2, 9, 12, 2, 9, 11 and 2? (a) 2 (b) 9 (c) 12 (d) 11
  6. 6.What is the mode of 9, 4, 10, 19, 4, 10 and 10? (a) 19 (b) 4 (c) 10 (d) 9
  7. 7.What is the median of 34, 11, 8, 6, 37, 19 and 26? (a) 6 (b) 11 (c) 19 (d) 26
  8. 8.What is the mode of 13, 7, 7, 20, 13, 13 and 4? (a) 4 (b) 7 (c) 13 (d) 20
  9. 9.What is the mode of 1, 16, 1, 4, 8, 4 and 4? (a) 8 (b) 16 (c) 4 (d) 1
  10. 10.What is the median of 17, 15, 3, 13 and 14? (a) 15 (b) 14 (c) 3 (d) 13
  11. 11.What is the mean of 16, 15, 7 and 6? (a) 10 (b) 12 (c) 13 (d) 11
  12. 12.What is the mean of 9, 8, 10, 11, 3 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  13. 13.What is the mean of 18, 5, 13, 3 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  14. 14.The mean of 3 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 31 (b) 33 (c) 27 (d) 30
  15. 15.What is the median of 8, 40, 15, 24, 23, 31 and 11? (a) 15 (b) 22 (c) 23 (d) 24
  16. 16.The mean of 3 numbers is 32. When the number 28 is added to them, what is the new mean? (a) 31 (b) 33 (c) 32 (d) 30
  17. 17.What is the median of 5, 7, 14, 6, 15, 29 and 34? (a) 14 (b) 6 (c) 15 (d) 7
  18. 18.What is the mode of 3, 4, 3, 5, 4, 1 and 3? (a) 4 (b) 3 (c) 1 (d) 5
  19. 19.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 21 (b) 22 (c) 24 (d) 23
  20. 20.What is the mean of 13, 11, 20 and 20? (a) 16 (b) 15 (c) 18 (d) 17
  21. 21.What is the mean of 14, 11, 14, 9 and 12? (a) 13 (b) 10 (c) 12 (d) 15
  22. 22.The mean of 6 numbers is 14. When the number 42 is added to them, what is the new mean? (a) 14 (b) 19 (c) 28 (d) 18
  23. 23.What is the mean of 5, 10, 13 and 20? (a) 13 (b) 12 (c) 16 (d) 11
  24. 24.What is the mean of 14, 19, 13, 5, 8 and 19? (a) 15 (b) 14 (c) 13 (d) 12
  25. 25.What is the mode of 4, 15, 16, 3, 4, 4 and 15? (a) 4 (b) 3 (c) 16 (d) 15
  26. 26.What is the mean of 20, 10, 19 and 19? (a) 17 (b) 16 (c) 18 (d) 19
  27. 27.What is the median of 6, 31, 26, 27 and 14? (a) 25 (b) 14 (c) 27 (d) 26
  28. 28.The mean of 6 numbers is 36. When the number 43 is added to them, what is the new mean? (a) 39 (b) 36 (c) 38 (d) 37
  29. 29.What is the mean of 2, 18, 15 and 17? (a) 14 (b) 15 (c) 12 (d) 13
  30. 30.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 31 (b) 24 (c) 30 (d) 29
  31. 31.What is the median of 32, 17, 4, 28, 10, 15 and 22? (a) 17 (b) 15 (c) 28 (d) 22
  32. 32.The mean of 6 numbers is 14. When the number 28 is added to them, what is the new mean? (a) 16 (b) 21 (c) 17 (d) 14
  33. 33.What is the mode of 10, 19, 6, 19, 10, 2 and 19? (a) 10 (b) 6 (c) 2 (d) 19
  34. 34.What is the mean of 13, 11, 17, 9 and 20? (a) 15 (b) 13 (c) 16 (d) 14
  35. 35.What is the median of 18, 12, 27, 34 and 22? (a) 23 (b) 22 (c) 18 (d) 27
  36. 36.What is the mean of 15, 11, 15, 9, 4 and 12? (a) 13 (b) 12 (c) 11 (d) 10
  37. 37.What is the mean of 9, 19, 19, 11, 14 and 12? (a) 13 (b) 14 (c) 15 (d) 12
  38. 38.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 13 (b) 21 (c) 17 (d) 18
  39. 39.What is the mode of 1, 7, 17, 7, 1, 7 and 6? (a) 7 (b) 1 (c) 17 (d) 6
  40. 40.What is the mean of 8, 4, 17, 19 and 12? (a) 12 (b) 15 (c) 13 (d) 10

Answer key

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

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