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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 363 · 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.What is the mode of 4, 4, 18, 18, 9, 18 and 17? (a) 9 (b) 17 (c) 4 (d) 18
  2. 2.What is the mean of 6, 14, 12, 2 and 11? (a) 9 (b) 10 (c) 8 (d) 11
  3. 3.The mean of 5 numbers is 38. When the number 32 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 38
  4. 4.What is the median of 3, 23, 28, 24 and 1? (a) 3 (b) 24 (c) 23 (d) 28
  5. 5.What is the median of 4, 10, 18, 28, 5, 36 and 29? (a) 10 (b) 28 (c) 19 (d) 18
  6. 6.What is the mode of 12, 9, 9, 11, 12, 9 and 6? (a) 12 (b) 6 (c) 9 (d) 11
  7. 7.What is the median of 3, 4, 14, 29 and 16? (a) 4 (b) 16 (c) 15 (d) 14
  8. 8.What is the mean of 7, 13, 8 and 20? (a) 16 (b) 13 (c) 11 (d) 12
  9. 9.What is the median of 23, 38, 2, 13, 29, 18 and 11? (a) 13 (b) 18 (c) 23 (d) 19
  10. 10.The mean of 5 numbers is 14. When the number 8 is added to them, what is the new mean? (a) 14 (b) 11 (c) 13 (d) 12
  11. 11.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 28 (b) 25 (c) 26 (d) 27
  12. 12.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 17 (b) 13 (c) 18 (d) 21
  13. 13.What is the median of 31, 17, 6, 4, 39, 35 and 9? (a) 9 (b) 17 (c) 4 (d) 31
  14. 14.The mean of 9 numbers is 10. When the number 50 is added to them, what is the new mean? (a) 15 (b) 10 (c) 14 (d) 30
  15. 15.What is the median of 29, 11, 39, 14 and 27? (a) 39 (b) 27 (c) 24 (d) 29
  16. 16.The mean of 3 numbers is 24. When the number 36 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 24
  17. 17.What is the mode of 11, 1, 1, 7, 18, 7 and 1? (a) 11 (b) 1 (c) 7 (d) 18
  18. 18.What is the median of 19, 28, 20, 10 and 1? (a) 19 (b) 20 (c) 18 (d) 10
  19. 19.What is the mode of 19, 6, 14, 19, 2, 2 and 2? (a) 14 (b) 6 (c) 2 (d) 19
  20. 20.What is the median of 37, 18, 34, 24 and 7? (a) 25 (b) 24 (c) 34 (d) 18
  21. 21.What is the mean of 12, 2, 14, 18, 5 and 3? (a) 10 (b) 9 (c) 11 (d) 8
  22. 22.What is the mean of 16, 4, 15 and 13? (a) 13 (b) 16 (c) 12 (d) 11
  23. 23.What is the mode of 5, 5, 8, 10, 16, 5 and 8? (a) 16 (b) 10 (c) 5 (d) 8
  24. 24.What is the mode of 9, 7, 7, 8, 8, 12 and 7? (a) 8 (b) 9 (c) 12 (d) 7
  25. 25.What is the mean of 13, 12, 5, 8 and 7? (a) 10 (b) 11 (c) 9 (d) 8
  26. 26.The mean of 3 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 6 (b) 8 (c) 10 (d) 9
  27. 27.The mean of 4 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 29 (b) 28 (c) 27 (d) 24
  28. 28.What is the mean of 9, 7, 10, 16 and 13? (a) 10 (b) 12 (c) 13 (d) 11
  29. 29.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 11 (b) 12 (c) 10 (d) 9
  30. 30.What is the mode of 4, 4, 13, 7, 9, 9 and 9? (a) 7 (b) 9 (c) 13 (d) 4
  31. 31.What is the mean of 18, 10, 4 and 16? (a) 11 (b) 13 (c) 12 (d) 16
  32. 32.What is the mean of 13, 15, 20, 19, 14 and 21? (a) 18 (b) 17 (c) 16 (d) 19
  33. 33.The mean of 8 numbers is 32. When the number 5 is added to them, what is the new mean? (a) 28 (b) 30 (c) 29 (d) 32
  34. 34.The mean of 8 numbers is 22. When the number 58 is added to them, what is the new mean? (a) 40 (b) 22 (c) 27 (d) 26
  35. 35.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 24 (b) 34 (c) 38 (d) 35
  36. 36.What is the median of 1, 12, 18, 27 and 13? (a) 13 (b) 18 (c) 12 (d) 14
  37. 37.What is the mean of 16, 11, 14, 11, 4 and 4? (a) 10 (b) 12 (c) 11 (d) 9
  38. 38.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 9
  39. 39.The mean of 8 numbers is 34. When the number 61 is added to them, what is the new mean? (a) 34 (b) 37 (c) 38 (d) 36
  40. 40.What is the mean of 9, 12, 6, 9, 10 and 14? (a) 11 (b) 10 (c) 9 (d) 12

Answer key

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

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