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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 695 · 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 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 36
  2. 2.What is the median of 19, 27, 34, 10 and 5? (a) 19 (b) 27 (c) 10 (d) 34
  3. 3.What is the mean of 16, 19, 16 and 9? (a) 16 (b) 20 (c) 15 (d) 12
  4. 4.What is the median of 19, 11, 4, 2, 39, 22 and 1? (a) 14 (b) 19 (c) 11 (d) 2
  5. 5.What is the mean of 7, 17, 16, 6 and 19? (a) 15 (b) 14 (c) 12 (d) 13
  6. 6.What is the median of 3, 39, 9, 18, 26, 32 and 40? (a) 26 (b) 32 (c) 27 (d) 18
  7. 7.What is the median of 39, 9, 31, 32 and 4? (a) 31 (b) 9 (c) 32 (d) 23
  8. 8.What is the mean of 5, 11, 5, 19 and 10? (a) 10 (b) 9 (c) 12 (d) 11
  9. 9.What is the mode of 10, 2, 2, 9, 9, 2 and 3? (a) 3 (b) 9 (c) 10 (d) 2
  10. 10.What is the mode of 8, 7, 18, 7, 1, 7 and 1? (a) 18 (b) 8 (c) 7 (d) 1
  11. 11.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 15
  12. 12.What is the median of 4, 38, 18, 5, 35, 22 and 30? (a) 18 (b) 5 (c) 30 (d) 22
  13. 13.What is the mean of 9, 14, 10 and 11? (a) 12 (b) 11 (c) 10 (d) 13
  14. 14.The mean of 9 numbers is 13. When the number 43 is added to them, what is the new mean? (a) 28 (b) 17 (c) 16 (d) 13
  15. 15.What is the median of 14, 33, 34, 31, 28, 30 and 5? (a) 25 (b) 31 (c) 30 (d) 28
  16. 16.What is the mode of 14, 3, 14, 16, 3, 3 and 6? (a) 3 (b) 16 (c) 14 (d) 6
  17. 17.What is the median of 17, 8, 35, 7 and 30? (a) 8 (b) 17 (c) 30 (d) 35
  18. 18.The mean of 7 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 16 (b) 20 (c) 18 (d) 19
  19. 19.What is the mode of 9, 1, 4, 14, 14, 9 and 9? (a) 1 (b) 4 (c) 9 (d) 14
  20. 20.What is the mode of 10, 9, 5, 5, 8, 8 and 5? (a) 10 (b) 5 (c) 9 (d) 8
  21. 21.What is the mean of 14, 20, 16 and 10? (a) 15 (b) 20 (c) 16 (d) 12
  22. 22.What is the mode of 13, 12, 13, 20, 5, 13 and 20? (a) 20 (b) 5 (c) 12 (d) 13
  23. 23.What is the mean of 13, 4, 2, 10, 18 and 7? (a) 9 (b) 8 (c) 11 (d) 10
  24. 24.The mean of 6 numbers is 25. When the number 32 is added to them, what is the new mean? (a) 27 (b) 26 (c) 25 (d) 28
  25. 25.The mean of 3 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 32 (b) 37 (c) 36 (d) 40
  26. 26.What is the mode of 17, 16, 18, 18, 18, 2 and 17? (a) 18 (b) 17 (c) 16 (d) 2
  27. 27.What is the median of 17, 25, 38, 1 and 4? (a) 4 (b) 17 (c) 38 (d) 25
  28. 28.What is the median of 20, 25, 30, 2 and 31? (a) 25 (b) 20 (c) 26 (d) 30
  29. 29.What is the mode of 19, 19, 15, 15, 19, 2 and 11? (a) 2 (b) 11 (c) 15 (d) 19
  30. 30.The mean of 4 numbers is 19. When the number 14 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 20
  31. 31.What is the mean of 2, 19, 5, 10 and 4? (a) 7 (b) 9 (c) 10 (d) 8
  32. 32.What is the median of 40, 18, 36, 8, 35, 2 and 17? (a) 35 (b) 18 (c) 17 (d) 8
  33. 33.What is the mode of 7, 13, 10, 7, 16, 13 and 7? (a) 7 (b) 16 (c) 13 (d) 10
  34. 34.What is the mean of 2, 20, 16, 15, 11 and 8? (a) 14 (b) 13 (c) 12 (d) 11
  35. 35.What is the median of 40, 13, 32, 7, 30, 14 and 21? (a) 7 (b) 14 (c) 21 (d) 30
  36. 36.What is the mode of 11, 10, 10, 11, 11, 7 and 5? (a) 5 (b) 10 (c) 7 (d) 11
  37. 37.What is the median of 17, 15, 26, 2 and 14? (a) 17 (b) 15 (c) 14 (d) 26
  38. 38.The mean of 8 numbers is 36. When the number 63 is added to them, what is the new mean? (a) 36 (b) 39 (c) 38 (d) 40
  39. 39.What is the mean of 11, 4, 3, 20 and 17? (a) 10 (b) 12 (c) 13 (d) 11
  40. 40.The mean of 5 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 23 (b) 16 (c) 25 (d) 22

Answer key

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

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