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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 253 · 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 40. When the number 56 is added to them, what is the new mean? (a) 40 (b) 48 (c) 44 (d) 45
  2. 2.What is the mean of 7, 8, 6, 15, 14 and 22? (a) 13 (b) 12 (c) 11 (d) 14
  3. 3.The mean of 8 numbers is 15. When the number 6 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 15
  4. 4.What is the mean of 14, 18, 14, 18, 5 and 15? (a) 12 (b) 14 (c) 13 (d) 15
  5. 5.What is the median of 26, 11, 4, 27 and 21? (a) 26 (b) 4 (c) 21 (d) 11
  6. 6.What is the mean of 10, 4, 14 and 16? (a) 12 (b) 10 (c) 13 (d) 11
  7. 7.What is the mean of 12, 2, 16 and 22? (a) 15 (b) 14 (c) 13 (d) 12
  8. 8.What is the mean of 8, 18, 6, 16, 6 and 12? (a) 10 (b) 11 (c) 12 (d) 13
  9. 9.What is the mean of 10, 18, 16, 19, 7 and 20? (a) 18 (b) 15 (c) 16 (d) 14
  10. 10.What is the mode of 18, 8, 18, 14, 18, 20 and 14? (a) 20 (b) 8 (c) 14 (d) 18
  11. 11.What is the median of 29, 1, 25, 36, 40, 4 and 23? (a) 36 (b) 29 (c) 23 (d) 25
  12. 12.What is the mean of 17, 7, 3 and 13? (a) 8 (b) 10 (c) 11 (d) 9
  13. 13.What is the median of 19, 40, 35, 36, 25, 29 and 4? (a) 36 (b) 25 (c) 35 (d) 29
  14. 14.What is the mode of 4, 14, 6, 17, 14, 4 and 14? (a) 4 (b) 6 (c) 17 (d) 14
  15. 15.What is the median of 7, 13, 21, 24 and 35? (a) 24 (b) 13 (c) 21 (d) 20
  16. 16.What is the mean of 11, 5, 14, 2 and 23? (a) 11 (b) 10 (c) 13 (d) 12
  17. 17.The mean of 6 numbers is 14. When the number 21 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 17
  18. 18.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 18 (b) 20 (c) 17 (d) 19
  19. 19.What is the mean of 5, 2, 19, 9 and 10? (a) 8 (b) 10 (c) 11 (d) 9
  20. 20.The mean of 4 numbers is 19. When the number 4 is added to them, what is the new mean? (a) 19 (b) 15 (c) 17 (d) 16
  21. 21.The mean of 7 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 11 (b) 13 (c) 15 (d) 12
  22. 22.What is the mean of 5, 4, 19 and 20? (a) 13 (b) 11 (c) 12 (d) 16
  23. 23.The mean of 7 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 27 (b) 20 (c) 26 (d) 28
  24. 24.What is the median of 6, 20, 10, 31 and 11? (a) 12 (b) 11 (c) 10 (d) 20
  25. 25.What is the mode of 5, 5, 10, 5, 20, 7 and 7? (a) 5 (b) 20 (c) 10 (d) 7
  26. 26.The mean of 7 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 10 (b) 12 (c) 18 (d) 13
  27. 27.What is the mode of 7, 16, 7, 4, 17, 7 and 16? (a) 17 (b) 7 (c) 4 (d) 16
  28. 28.The mean of 6 numbers is 22. When the number 43 is added to them, what is the new mean? (a) 25 (b) 22 (c) 24 (d) 26
  29. 29.What is the median of 18, 10, 7, 12 and 24? (a) 12 (b) 18 (c) 7 (d) 10
  30. 30.What is the mode of 8, 5, 15, 5, 18, 15 and 5? (a) 5 (b) 15 (c) 8 (d) 18
  31. 31.What is the mean of 13, 16, 14, 10 and 12? (a) 13 (b) 15 (c) 14 (d) 12
  32. 32.The mean of 4 numbers is 23. When the number 43 is added to them, what is the new mean? (a) 23 (b) 33 (c) 27 (d) 28
  33. 33.What is the mean of 4, 7, 3 and 22? (a) 12 (b) 8 (c) 10 (d) 9
  34. 34.What is the mean of 6, 5, 19, 2, 20 and 20? (a) 13 (b) 12 (c) 11 (d) 14
  35. 35.The mean of 9 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 29 (b) 30 (c) 26 (d) 31
  36. 36.What is the mode of 10, 4, 4, 8, 5, 8 and 4? (a) 4 (b) 8 (c) 10 (d) 5
  37. 37.The mean of 5 numbers is 26. When the number 32 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 29
  38. 38.What is the mode of 1, 11, 15, 15, 19, 19 and 15? (a) 11 (b) 15 (c) 19 (d) 1
  39. 39.The mean of 4 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 19 (b) 12 (c) 18 (d) 22
  40. 40.The mean of 8 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 47 (b) 41 (c) 38 (d) 40

Answer key

  1. 44
  2. 12
  3. 14
  4. 14
  5. 21
  6. 11
  7. 13
  8. 11
  9. 15
  10. 18
  11. 25
  12. 10
  13. 29
  14. 14
  15. 21
  16. 11
  17. 15
  18. 18
  19. 9
  20. 16
  21. 12
  22. 12
  23. 26
  24. 11
  25. 5
  26. 12
  27. 7
  28. 25
  29. 12
  30. 5
  31. 13
  32. 27
  33. 9
  34. 12
  35. 30
  36. 4
  37. 27
  38. 15
  39. 18
  40. 40

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