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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 482 · 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 4 numbers is 37. When the number 52 is added to them, what is the new mean? (a) 39 (b) 37 (c) 40 (d) 41
  2. 2.What is the mean of 18, 20, 20 and 18? (a) 20 (b) 19 (c) 18 (d) 21
  3. 3.What is the median of 31, 10, 33, 14, 38, 34 and 18? (a) 14 (b) 31 (c) 33 (d) 18
  4. 4.The mean of 4 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 16
  5. 5.What is the mean of 5, 16, 19, 19 and 11? (a) 13 (b) 16 (c) 14 (d) 15
  6. 6.What is the mean of 10, 7, 10 and 13? (a) 8 (b) 10 (c) 9 (d) 11
  7. 7.What is the median of 6, 40, 23, 17, 28, 35 and 9? (a) 17 (b) 24 (c) 23 (d) 28
  8. 8.The mean of 3 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 20
  9. 9.What is the median of 16, 22, 10, 25 and 28? (a) 22 (b) 25 (c) 10 (d) 16
  10. 10.The mean of 9 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 12 (b) 20 (c) 22 (d) 21
  11. 11.The mean of 4 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 15 (b) 20 (c) 25 (d) 19
  12. 12.What is the median of 26, 13, 4, 6 and 17? (a) 17 (b) 6 (c) 13 (d) 4
  13. 13.What is the median of 11, 35, 3, 7, 22, 6 and 9? (a) 7 (b) 10 (c) 11 (d) 9
  14. 14.What is the mean of 4, 8, 6, 8, 19 and 3? (a) 10 (b) 8 (c) 7 (d) 9
  15. 15.What is the mean of 14, 13, 12, 20, 3 and 22? (a) 15 (b) 13 (c) 14 (d) 12
  16. 16.What is the mean of 5, 17, 19, 11 and 23? (a) 16 (b) 14 (c) 15 (d) 17
  17. 17.What is the mode of 17, 7, 18, 18, 18, 7 and 5? (a) 5 (b) 7 (c) 18 (d) 17
  18. 18.What is the median of 36, 6, 10, 25 and 29? (a) 10 (b) 25 (c) 26 (d) 29
  19. 19.What is the mean of 20, 16, 12 and 4? (a) 12 (b) 14 (c) 15 (d) 13
  20. 20.The mean of 6 numbers is 13. When the number 27 is added to them, what is the new mean? (a) 20 (b) 13 (c) 16 (d) 15
  21. 21.What is the mode of 13, 18, 10, 18, 4, 10 and 10? (a) 10 (b) 4 (c) 13 (d) 18
  22. 22.What is the mean of 20, 10, 16, 10, 8 and 14? (a) 12 (b) 13 (c) 15 (d) 14
  23. 23.What is the mode of 16, 16, 19, 4, 10, 16 and 10? (a) 16 (b) 4 (c) 10 (d) 19
  24. 24.What is the mean of 14, 10, 6, 6, 4 and 8? (a) 10 (b) 9 (c) 8 (d) 7
  25. 25.What is the mean of 9, 16, 2, 10, 11 and 24? (a) 13 (b) 11 (c) 14 (d) 12
  26. 26.The mean of 4 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 14 (b) 20 (c) 21 (d) 24
  27. 27.What is the median of 38, 2, 36, 22 and 32? (a) 32 (b) 26 (c) 22 (d) 36
  28. 28.What is the median of 12, 13, 16, 27 and 25? (a) 25 (b) 17 (c) 16 (d) 13
  29. 29.What is the mean of 13, 10, 18, 4 and 10? (a) 13 (b) 11 (c) 10 (d) 12
  30. 30.What is the mean of 12, 6, 15, 3 and 14? (a) 11 (b) 9 (c) 12 (d) 10
  31. 31.What is the mean of 12, 13, 9, 17 and 19? (a) 13 (b) 15 (c) 14 (d) 16
  32. 32.The mean of 7 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 35 (b) 43 (c) 34 (d) 31
  33. 33.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 36 (b) 35 (c) 37 (d) 34
  34. 34.The mean of 7 numbers is 14. When the number 46 is added to them, what is the new mean? (a) 19 (b) 30 (c) 18 (d) 14
  35. 35.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 17 (b) 22 (c) 19 (d) 18
  36. 36.What is the mean of 19, 2, 13 and 10? (a) 12 (b) 11 (c) 13 (d) 10
  37. 37.What is the mode of 19, 18, 18, 1, 1, 1 and 15? (a) 19 (b) 18 (c) 15 (d) 1
  38. 38.The mean of 4 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 26 (b) 36 (c) 33 (d) 32
  39. 39.The mean of 7 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 24 (b) 25 (c) 22 (d) 30
  40. 40.The mean of 4 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 24 (b) 29 (c) 28 (d) 34

Answer key

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

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