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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 836 · 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 34. When the number 54 is added to them, what is the new mean? (a) 36 (b) 37 (c) 34 (d) 44
  2. 2.What is the mean of 18, 6, 5, 4 and 12? (a) 8 (b) 11 (c) 9 (d) 10
  3. 3.The mean of 5 numbers is 24. When the number 18 is added to them, what is the new mean? (a) 22 (b) 21 (c) 24 (d) 23
  4. 4.What is the mean of 11, 19, 18, 19, 3 and 20? (a) 16 (b) 15 (c) 18 (d) 14
  5. 5.What is the mode of 4, 16, 9, 16, 16, 4 and 8? (a) 4 (b) 9 (c) 16 (d) 8
  6. 6.What is the mode of 12, 20, 12, 14, 14, 14 and 15? (a) 15 (b) 20 (c) 12 (d) 14
  7. 7.The mean of 8 numbers is 16. When the number 34 is added to them, what is the new mean? (a) 25 (b) 16 (c) 19 (d) 18
  8. 8.What is the mode of 4, 3, 3, 9, 9, 3 and 16? (a) 4 (b) 16 (c) 9 (d) 3
  9. 9.What is the mode of 10, 17, 13, 10, 3, 10 and 3? (a) 10 (b) 17 (c) 3 (d) 13
  10. 10.What is the mean of 14, 12, 10, 12 and 7? (a) 12 (b) 13 (c) 10 (d) 11
  11. 11.What is the median of 6, 12, 19, 31, 4, 28 and 38? (a) 28 (b) 19 (c) 31 (d) 12
  12. 12.The mean of 4 numbers is 34. When the number 19 is added to them, what is the new mean? (a) 34 (b) 30 (c) 32 (d) 31
  13. 13.The mean of 7 numbers is 38. When the number 6 is added to them, what is the new mean? (a) 35 (b) 22 (c) 38 (d) 34
  14. 14.What is the median of 11, 15, 17, 7, 29, 31 and 34? (a) 17 (b) 29 (c) 7 (d) 15
  15. 15.What is the mode of 20, 14, 20, 14, 14, 19 and 11? (a) 20 (b) 19 (c) 11 (d) 14
  16. 16.The mean of 6 numbers is 17. When the number 31 is added to them, what is the new mean? (a) 17 (b) 20 (c) 24 (d) 19
  17. 17.What is the median of 40, 13, 20, 32, 8, 19 and 22? (a) 20 (b) 19 (c) 32 (d) 22
  18. 18.What is the mean of 2, 4, 7, 8, 9 and 12? (a) 8 (b) 9 (c) 7 (d) 6
  19. 19.What is the mean of 11, 3, 19 and 11? (a) 12 (b) 13 (c) 11 (d) 10
  20. 20.What is the mean of 15, 15, 7, 12, 16 and 19? (a) 12 (b) 15 (c) 13 (d) 14
  21. 21.What is the median of 29, 28, 37, 22 and 16? (a) 22 (b) 29 (c) 37 (d) 28
  22. 22.What is the median of 21, 2, 24, 23 and 11? (a) 23 (b) 11 (c) 24 (d) 21
  23. 23.What is the median of 25, 5, 21, 39 and 15? (a) 15 (b) 22 (c) 25 (d) 21
  24. 24.What is the median of 2, 9, 35, 18, 16, 38 and 37? (a) 19 (b) 16 (c) 35 (d) 18
  25. 25.What is the mean of 18, 14, 16, 19, 8 and 9? (a) 15 (b) 14 (c) 12 (d) 13
  26. 26.What is the mean of 2, 8, 5, 6 and 9? (a) 7 (b) 5 (c) 6 (d) 8
  27. 27.The mean of 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 22 (b) 17 (c) 19 (d) 20
  28. 28.What is the median of 9, 2, 40, 21 and 1? (a) 21 (b) 9 (c) 40 (d) 2
  29. 29.What is the median of 7, 11, 4, 32, 21, 40 and 34? (a) 32 (b) 22 (c) 21 (d) 11
  30. 30.What is the mean of 12, 9, 15, 18, 5 and 25? (a) 12 (b) 15 (c) 13 (d) 14
  31. 31.The mean of 4 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 13
  32. 32.What is the median of 18, 7, 10, 23 and 31? (a) 19 (b) 18 (c) 10 (d) 23
  33. 33.What is the mean of 7, 18, 2, 6, 10 and 23? (a) 10 (b) 11 (c) 13 (d) 12
  34. 34.What is the mean of 20, 4, 2, 3, 2 and 5? (a) 8 (b) 6 (c) 7 (d) 5
  35. 35.What is the mode of 17, 7, 7, 7, 6, 8 and 17? (a) 17 (b) 6 (c) 7 (d) 8
  36. 36.What is the mean of 19, 3, 18, 3 and 22? (a) 12 (b) 14 (c) 13 (d) 15
  37. 37.What is the mean of 7, 9, 16, 8 and 5? (a) 11 (b) 8 (c) 10 (d) 9
  38. 38.What is the mean of 9, 2, 2, 12 and 5? (a) 6 (b) 8 (c) 5 (d) 7
  39. 39.What is the mean of 13, 13, 3, 19 and 12? (a) 12 (b) 10 (c) 13 (d) 15
  40. 40.The mean of 6 numbers is 28. When the number 42 is added to them, what is the new mean? (a) 35 (b) 30 (c) 31 (d) 28

Answer key

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

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