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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 813 · 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 22. When the number 34 is added to them, what is the new mean? (a) 28 (b) 24 (c) 25 (d) 22
  2. 2.What is the median of 18, 26, 27, 9, 4, 35 and 7? (a) 18 (b) 19 (c) 9 (d) 26
  3. 3.What is the mode of 14, 9, 11, 14, 9, 14 and 17? (a) 9 (b) 17 (c) 11 (d) 14
  4. 4.What is the mean of 19, 20, 13 and 4? (a) 16 (b) 13 (c) 14 (d) 15
  5. 5.What is the mean of 17, 10, 9, 4 and 5? (a) 8 (b) 10 (c) 11 (d) 9
  6. 6.What is the median of 6, 38, 19, 9 and 11? (a) 12 (b) 9 (c) 11 (d) 19
  7. 7.What is the mean of 17, 2, 15 and 18? (a) 13 (b) 15 (c) 14 (d) 12
  8. 8.What is the median of 23, 5, 37, 13, 22, 32 and 26? (a) 22 (b) 23 (c) 26 (d) 13
  9. 9.What is the median of 13, 15, 33, 18 and 37? (a) 19 (b) 15 (c) 18 (d) 33
  10. 10.What is the mode of 19, 3, 9, 16, 3, 3 and 9? (a) 9 (b) 16 (c) 3 (d) 19
  11. 11.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 26 (b) 30 (c) 29 (d) 32
  12. 12.What is the mean of 11, 11, 10 and 20? (a) 12 (b) 14 (c) 15 (d) 13
  13. 13.What is the mean of 7, 8, 15, 12 and 8? (a) 9 (b) 10 (c) 11 (d) 12
  14. 14.What is the mean of 19, 5, 4, 2, 14 and 4? (a) 8 (b) 9 (c) 7 (d) 10
  15. 15.What is the mean of 16, 12, 16, 7, 6 and 3? (a) 9 (b) 11 (c) 10 (d) 12
  16. 16.What is the mode of 1, 8, 5, 7, 1, 5 and 1? (a) 5 (b) 1 (c) 7 (d) 8
  17. 17.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 17 (b) 15 (c) 18 (d) 16
  18. 18.The mean of 7 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 20 (b) 19 (c) 23 (d) 21
  19. 19.What is the median of 2, 17, 7, 28, 36, 14 and 20? (a) 14 (b) 17 (c) 20 (d) 28
  20. 20.What is the median of 28, 14, 16, 34 and 27? (a) 26 (b) 27 (c) 28 (d) 16
  21. 21.What is the mean of 2, 8, 16 and 10? (a) 8 (b) 9 (c) 10 (d) 12
  22. 22.What is the mode of 5, 11, 9, 2, 2, 2 and 11? (a) 2 (b) 5 (c) 9 (d) 11
  23. 23.The mean of 8 numbers is 24. When the number 42 is added to them, what is the new mean? (a) 24 (b) 33 (c) 27 (d) 26
  24. 24.What is the mode of 3, 3, 12, 8, 12, 17 and 12? (a) 8 (b) 3 (c) 12 (d) 17
  25. 25.The mean of 4 numbers is 20. When the number 5 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 20
  26. 26.What is the mode of 15, 15, 2, 18, 18, 15 and 3? (a) 2 (b) 15 (c) 3 (d) 18
  27. 27.What is the median of 31, 25, 5, 14 and 30? (a) 21 (b) 5 (c) 30 (d) 25
  28. 28.What is the median of 26, 3, 5, 15, 8, 12 and 37? (a) 15 (b) 8 (c) 13 (d) 12
  29. 29.What is the mean of 13, 10, 10, 6 and 21? (a) 10 (b) 15 (c) 13 (d) 12
  30. 30.What is the mode of 19, 9, 4, 19, 3, 4 and 4? (a) 19 (b) 4 (c) 9 (d) 3
  31. 31.What is the mean of 20, 2, 19 and 3? (a) 11 (b) 10 (c) 13 (d) 12
  32. 32.What is the mean of 6, 20, 3, 20 and 21? (a) 13 (b) 16 (c) 14 (d) 15
  33. 33.What is the mean of 4, 16, 8, 15, 20 and 3? (a) 10 (b) 12 (c) 13 (d) 11
  34. 34.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 32 (b) 31 (c) 29 (d) 30
  35. 35.What is the mean of 19, 8, 18 and 23? (a) 17 (b) 19 (c) 18 (d) 16
  36. 36.What is the mode of 10, 10, 2, 10, 2, 13 and 4? (a) 13 (b) 2 (c) 4 (d) 10
  37. 37.What is the median of 38, 33, 24, 20, 26, 2 and 6? (a) 24 (b) 25 (c) 20 (d) 26
  38. 38.What is the mode of 2, 2, 8, 1, 18, 2 and 18? (a) 8 (b) 1 (c) 2 (d) 18
  39. 39.What is the mean of 13, 14, 14, 12 and 17? (a) 16 (b) 14 (c) 13 (d) 15
  40. 40.What is the mean of 17, 3, 8, 9, 3 and 8? (a) 8 (b) 7 (c) 10 (d) 9

Answer key

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

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