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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 197 · 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 mean of 2, 14, 9, 8 and 22? (a) 10 (b) 12 (c) 13 (d) 11
  2. 2.What is the median of 18, 36, 13, 1 and 11? (a) 11 (b) 14 (c) 18 (d) 13
  3. 3.What is the mean of 5, 11, 15 and 9? (a) 8 (b) 9 (c) 10 (d) 11
  4. 4.What is the mean of 9, 19, 13, 12, 5 and 20? (a) 12 (b) 13 (c) 15 (d) 14
  5. 5.What is the median of 17, 26, 39, 9, 19, 32 and 34? (a) 32 (b) 26 (c) 19 (d) 9
  6. 6.The mean of 9 numbers is 34. When the number 44 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 39
  7. 7.What is the median of 15, 27, 21, 16 and 17? (a) 21 (b) 16 (c) 17 (d) 18
  8. 8.What is the median of 30, 10, 25, 27 and 5? (a) 26 (b) 10 (c) 25 (d) 27
  9. 9.What is the mode of 6, 9, 6, 6, 18, 9 and 12? (a) 9 (b) 6 (c) 18 (d) 12
  10. 10.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 13 (b) 9 (c) 14 (d) 12
  11. 11.What is the median of 6, 3, 28, 26 and 12? (a) 26 (b) 15 (c) 28 (d) 12
  12. 12.What is the mean of 6, 8, 8 and 14? (a) 12 (b) 9 (c) 8 (d) 10
  13. 13.What is the mean of 9, 12, 13, 5 and 16? (a) 12 (b) 13 (c) 11 (d) 10
  14. 14.What is the mode of 1, 19, 19, 17, 19, 11 and 11? (a) 17 (b) 19 (c) 1 (d) 11
  15. 15.The mean of 9 numbers is 22. When the number 32 is added to them, what is the new mean? (a) 23 (b) 24 (c) 27 (d) 22
  16. 16.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 32 (b) 35 (c) 33 (d) 29
  17. 17.What is the mean of 16, 4, 18, 16 and 11? (a) 13 (b) 14 (c) 15 (d) 12
  18. 18.What is the mode of 14, 13, 11, 13, 4, 11 and 11? (a) 11 (b) 14 (c) 13 (d) 4
  19. 19.What is the median of 21, 29, 27, 20 and 35? (a) 21 (b) 29 (c) 27 (d) 28
  20. 20.What is the mean of 17, 8, 14 and 17? (a) 13 (b) 14 (c) 15 (d) 16
  21. 21.What is the mean of 18, 20, 15 and 7? (a) 16 (b) 15 (c) 12 (d) 20
  22. 22.What is the mean of 13, 20, 9, 20, 13 and 9? (a) 12 (b) 13 (c) 15 (d) 14
  23. 23.What is the mean of 13, 5, 20, 11, 5 and 18? (a) 11 (b) 14 (c) 12 (d) 13
  24. 24.What is the mode of 19, 1, 19, 1, 19, 5 and 18? (a) 1 (b) 18 (c) 5 (d) 19
  25. 25.What is the mean of 16, 17, 17, 3 and 7? (a) 10 (b) 15 (c) 13 (d) 12
  26. 26.The mean of 5 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 36 (b) 24 (c) 32 (d) 33
  27. 27.What is the mode of 11, 2, 4, 2, 4, 4 and 16? (a) 2 (b) 11 (c) 16 (d) 4
  28. 28.What is the mean of 12, 10, 13, 11 and 19? (a) 14 (b) 13 (c) 15 (d) 12
  29. 29.What is the mean of 10, 10, 19, 15, 13 and 23? (a) 18 (b) 14 (c) 15 (d) 16
  30. 30.What is the mean of 6, 3, 14, 16 and 6? (a) 11 (b) 10 (c) 9 (d) 8
  31. 31.What is the mode of 17, 15, 18, 15, 17, 12 and 15? (a) 12 (b) 17 (c) 18 (d) 15
  32. 32.What is the median of 19, 12, 34, 1 and 36? (a) 20 (b) 12 (c) 34 (d) 19
  33. 33.What is the mean of 4, 3, 19 and 6? (a) 9 (b) 10 (c) 7 (d) 8
  34. 34.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 15
  35. 35.What is the mode of 10, 8, 7, 10, 1, 7 and 10? (a) 7 (b) 1 (c) 8 (d) 10
  36. 36.The mean of 9 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 14 (b) 16 (c) 24 (d) 17
  37. 37.What is the mode of 7, 8, 7, 14, 14, 13 and 14? (a) 7 (b) 8 (c) 13 (d) 14
  38. 38.What is the median of 20, 34, 16, 32, 39, 19 and 22? (a) 20 (b) 26 (c) 22 (d) 32
  39. 39.What is the mode of 1, 3, 17, 19, 1, 17 and 1? (a) 3 (b) 19 (c) 17 (d) 1
  40. 40.The mean of 3 numbers is 20. When the number 16 is added to them, what is the new mean? (a) 21 (b) 19 (c) 18 (d) 20

Answer key

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

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