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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 864 · 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 8 numbers is 15. When the number 51 is added to them, what is the new mean? (a) 19 (b) 15 (c) 33 (d) 20
  2. 2.What is the mean of 10, 18, 9 and 19? (a) 14 (b) 15 (c) 16 (d) 13
  3. 3.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 24 (b) 27 (c) 23 (d) 25
  4. 4.What is the mean of 11, 9, 3, 19 and 13? (a) 10 (b) 12 (c) 13 (d) 11
  5. 5.What is the mean of 6, 10, 12, 10 and 7? (a) 9 (b) 11 (c) 10 (d) 8
  6. 6.What is the median of 17, 3, 19, 39 and 13? (a) 13 (b) 18 (c) 19 (d) 17
  7. 7.What is the mode of 5, 18, 4, 5, 18, 5 and 1? (a) 18 (b) 1 (c) 4 (d) 5
  8. 8.What is the mode of 12, 10, 3, 16, 3, 12 and 12? (a) 10 (b) 16 (c) 12 (d) 3
  9. 9.What is the mode of 13, 11, 17, 11, 17, 17 and 8? (a) 11 (b) 13 (c) 17 (d) 8
  10. 10.What is the median of 25, 8, 11, 2 and 38? (a) 12 (b) 11 (c) 8 (d) 25
  11. 11.The mean of 3 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 32 (b) 29 (c) 31 (d) 33
  12. 12.What is the mean of 13, 19, 10 and 14? (a) 14 (b) 13 (c) 15 (d) 16
  13. 13.What is the mean of 18, 20, 17, 2, 12 and 9? (a) 14 (b) 15 (c) 12 (d) 13
  14. 14.What is the mean of 9, 16, 19 and 20? (a) 15 (b) 17 (c) 18 (d) 16
  15. 15.What is the median of 1, 8, 13, 29, 5, 2 and 11? (a) 5 (b) 8 (c) 29 (d) 11
  16. 16.The mean of 9 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 28 (b) 36 (c) 29 (d) 26
  17. 17.The mean of 7 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 34 (b) 25 (c) 22 (d) 26
  18. 18.What is the mode of 7, 17, 13, 6, 13, 13 and 6? (a) 17 (b) 7 (c) 6 (d) 13
  19. 19.What is the median of 31, 1, 9, 22 and 40? (a) 23 (b) 31 (c) 22 (d) 9
  20. 20.What is the mode of 8, 12, 8, 16, 4, 12 and 8? (a) 12 (b) 8 (c) 4 (d) 16
  21. 21.What is the median of 33, 17, 5, 8 and 32? (a) 17 (b) 32 (c) 19 (d) 5
  22. 22.What is the mode of 5, 10, 20, 10, 18, 10 and 20? (a) 10 (b) 18 (c) 20 (d) 5
  23. 23.What is the median of 29, 8, 32, 4, 12, 34 and 37? (a) 4 (b) 29 (c) 32 (d) 12
  24. 24.What is the mean of 14, 18, 5, 6, 2 and 15? (a) 10 (b) 11 (c) 12 (d) 9
  25. 25.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 23 (b) 18 (c) 13 (d) 17
  26. 26.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 35 (b) 33 (c) 32 (d) 34
  27. 27.What is the median of 37, 34, 2, 25, 19, 23 and 14? (a) 22 (b) 23 (c) 19 (d) 25
  28. 28.What is the mode of 10, 18, 18, 6, 10, 18 and 3? (a) 10 (b) 3 (c) 18 (d) 6
  29. 29.What is the median of 30, 39, 35, 26 and 15? (a) 30 (b) 35 (c) 26 (d) 29
  30. 30.What is the median of 8, 21, 32, 26, 5, 31 and 16? (a) 26 (b) 21 (c) 22 (d) 16
  31. 31.What is the mean of 8, 14, 8 and 14? (a) 11 (b) 12 (c) 10 (d) 13
  32. 32.What is the mode of 3, 3, 15, 1, 2, 3 and 1? (a) 2 (b) 15 (c) 1 (d) 3
  33. 33.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 32 (b) 28 (c) 44 (d) 33
  34. 34.What is the mode of 18, 6, 8, 8, 18, 1 and 18? (a) 6 (b) 8 (c) 1 (d) 18
  35. 35.What is the mode of 14, 8, 19, 15, 14, 15 and 15? (a) 14 (b) 15 (c) 8 (d) 19
  36. 36.What is the mean of 3, 12, 16, 12, 6 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  37. 37.The mean of 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 22 (b) 20 (c) 17 (d) 19
  38. 38.What is the median of 32, 39, 27, 8, 28, 15 and 13? (a) 15 (b) 27 (c) 28 (d) 8
  39. 39.The mean of 4 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 37 (b) 31 (c) 32 (d) 27
  40. 40.What is the mode of 6, 17, 6, 19, 9, 9 and 6? (a) 17 (b) 9 (c) 6 (d) 19

Answer key

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

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