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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 671 · 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 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 12 (b) 16 (c) 15 (d) 17
  2. 2.What is the mode of 4, 17, 4, 8, 6, 6 and 4? (a) 4 (b) 17 (c) 8 (d) 6
  3. 3.What is the median of 33, 28, 35, 22, 5, 26 and 27? (a) 27 (b) 22 (c) 26 (d) 28
  4. 4.The mean of 3 numbers is 13. When the number 9 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 11
  5. 5.The mean of 3 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 20
  6. 6.What is the mode of 14, 14, 17, 17, 19, 14 and 12? (a) 19 (b) 14 (c) 17 (d) 12
  7. 7.What is the mode of 10, 20, 8, 8, 10, 13 and 8? (a) 20 (b) 13 (c) 10 (d) 8
  8. 8.What is the mode of 12, 17, 12, 17, 20, 17 and 16? (a) 20 (b) 12 (c) 16 (d) 17
  9. 9.The mean of 5 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 24 (b) 20 (c) 29 (d) 23
  10. 10.What is the median of 10, 33, 26, 36 and 25? (a) 33 (b) 26 (c) 27 (d) 25
  11. 11.What is the mean of 18, 18, 16, 8 and 15? (a) 17 (b) 14 (c) 15 (d) 16
  12. 12.What is the median of 1, 16, 31, 20 and 5? (a) 31 (b) 5 (c) 20 (d) 16
  13. 13.What is the mean of 16, 12, 9, 8 and 20? (a) 14 (b) 13 (c) 15 (d) 12
  14. 14.What is the median of 5, 9, 32, 14, 8, 29 and 36? (a) 9 (b) 29 (c) 19 (d) 14
  15. 15.What is the mean of 14, 9, 6, 3, 14 and 20? (a) 10 (b) 11 (c) 13 (d) 12
  16. 16.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 34 (b) 36 (c) 37 (d) 35
  17. 17.What is the mode of 6, 3, 3, 14, 14, 5 and 14? (a) 5 (b) 3 (c) 6 (d) 14
  18. 18.What is the mode of 20, 3, 12, 5, 3, 12 and 3? (a) 20 (b) 5 (c) 3 (d) 12
  19. 19.What is the mode of 10, 1, 1, 14, 14, 16 and 14? (a) 10 (b) 1 (c) 14 (d) 16
  20. 20.What is the mode of 5, 17, 5, 17, 6, 19 and 5? (a) 6 (b) 19 (c) 17 (d) 5
  21. 21.The mean of 3 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 12 (b) 9 (c) 13 (d) 11
  22. 22.What is the mean of 11, 6, 8, 14, 19 and 14? (a) 13 (b) 14 (c) 11 (d) 12
  23. 23.The mean of 4 numbers is 38. When the number 43 is added to them, what is the new mean? (a) 39 (b) 38 (c) 41 (d) 40
  24. 24.What is the mode of 7, 19, 1, 1, 9, 1 and 7? (a) 7 (b) 1 (c) 9 (d) 19
  25. 25.The mean of 7 numbers is 17. When the number 49 is added to them, what is the new mean? (a) 17 (b) 22 (c) 21 (d) 33
  26. 26.What is the median of 38, 18, 8, 7, 32, 9 and 37? (a) 32 (b) 7 (c) 9 (d) 18
  27. 27.What is the median of 29, 28, 5, 37 and 9? (a) 29 (b) 9 (c) 5 (d) 28
  28. 28.What is the mean of 18, 14, 5, 19 and 9? (a) 12 (b) 14 (c) 15 (d) 13
  29. 29.What is the mean of 10, 3, 20 and 7? (a) 9 (b) 11 (c) 8 (d) 10
  30. 30.What is the mean of 15, 16, 8, 16 and 20? (a) 16 (b) 17 (c) 14 (d) 15
  31. 31.What is the mean of 3, 3, 16 and 6? (a) 8 (b) 7 (c) 9 (d) 6
  32. 32.What is the mode of 19, 19, 4, 18, 17, 17 and 17? (a) 17 (b) 19 (c) 4 (d) 18
  33. 33.What is the mean of 6, 19, 14, 9 and 17? (a) 13 (b) 15 (c) 14 (d) 12
  34. 34.What is the mode of 20, 1, 1, 16, 6, 16 and 16? (a) 1 (b) 20 (c) 6 (d) 16
  35. 35.What is the median of 5, 12, 24, 33, 31, 18 and 4? (a) 33 (b) 12 (c) 24 (d) 18
  36. 36.What is the mode of 2, 19, 13, 2, 15, 15 and 2? (a) 13 (b) 15 (c) 19 (d) 2
  37. 37.What is the mean of 10, 8, 6 and 16? (a) 11 (b) 8 (c) 9 (d) 10
  38. 38.The mean of 7 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 16 (b) 23 (c) 22 (d) 24
  39. 39.What is the median of 23, 14, 20, 16, 37, 18 and 9? (a) 19 (b) 18 (c) 16 (d) 20
  40. 40.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 45 (b) 41 (c) 42 (d) 37

Answer key

  1. 16
  2. 4
  3. 27
  4. 12
  5. 22
  6. 14
  7. 8
  8. 17
  9. 23
  10. 26
  11. 15
  12. 16
  13. 13
  14. 14
  15. 11
  16. 35
  17. 14
  18. 3
  19. 14
  20. 5
  21. 11
  22. 12
  23. 39
  24. 1
  25. 21
  26. 18
  27. 28
  28. 13
  29. 10
  30. 15
  31. 7
  32. 17
  33. 13
  34. 16
  35. 18
  36. 2
  37. 10
  38. 22
  39. 18
  40. 41

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