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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 639 · 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 35. When the number 19 is added to them, what is the new mean? (a) 35 (b) 32 (c) 27 (d) 31
  2. 2.What is the mean of 3, 16, 8, 11 and 22? (a) 12 (b) 15 (c) 13 (d) 10
  3. 3.What is the mode of 3, 8, 8, 6, 17, 8 and 3? (a) 17 (b) 8 (c) 6 (d) 3
  4. 4.What is the median of 4, 9, 6, 32, 35, 23 and 16? (a) 32 (b) 9 (c) 16 (d) 23
  5. 5.The mean of 5 numbers is 39. When the number 33 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 36
  6. 6.The mean of 8 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 17 (b) 14 (c) 23 (d) 16
  7. 7.The mean of 4 numbers is 19. When the number 4 is added to them, what is the new mean? (a) 16 (b) 19 (c) 15 (d) 17
  8. 8.What is the mean of 19, 5, 2, 18, 13 and 15? (a) 13 (b) 12 (c) 11 (d) 14
  9. 9.What is the mean of 8, 15, 8 and 5? (a) 8 (b) 10 (c) 9 (d) 12
  10. 10.What is the mean of 14, 9, 4, 6 and 12? (a) 8 (b) 9 (c) 11 (d) 10
  11. 11.What is the median of 20, 27, 8, 14, 7, 9 and 16? (a) 14 (b) 15 (c) 9 (d) 16
  12. 12.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 28 (b) 31 (c) 32 (d) 34
  13. 13.What is the mean of 16, 11, 8, 7, 10 and 14? (a) 12 (b) 11 (c) 13 (d) 10
  14. 14.What is the mode of 12, 4, 7, 4, 11, 11 and 4? (a) 7 (b) 11 (c) 4 (d) 12
  15. 15.What is the mode of 5, 9, 8, 7, 5, 5 and 7? (a) 9 (b) 8 (c) 5 (d) 7
  16. 16.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 15 (b) 14 (c) 17 (d) 16
  17. 17.The mean of 6 numbers is 36. When the number 22 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 29
  18. 18.What is the mean of 11, 2, 14 and 21? (a) 16 (b) 11 (c) 13 (d) 12
  19. 19.What is the mean of 8, 17, 5 and 22? (a) 15 (b) 13 (c) 14 (d) 12
  20. 20.What is the mode of 2, 16, 5, 15, 5, 16 and 16? (a) 16 (b) 5 (c) 15 (d) 2
  21. 21.What is the mean of 14, 5, 11, 9, 15 and 18? (a) 14 (b) 13 (c) 11 (d) 12
  22. 22.What is the mode of 1, 7, 7, 1, 1, 2 and 8? (a) 2 (b) 8 (c) 7 (d) 1
  23. 23.What is the median of 11, 20, 38, 1 and 22? (a) 22 (b) 20 (c) 11 (d) 38
  24. 24.What is the mode of 2, 15, 15, 10, 15, 10 and 11? (a) 10 (b) 2 (c) 15 (d) 11
  25. 25.The mean of 6 numbers is 26. When the number 33 is added to them, what is the new mean? (a) 29 (b) 28 (c) 27 (d) 26
  26. 26.What is the mode of 13, 20, 9, 18, 18, 20 and 20? (a) 18 (b) 13 (c) 20 (d) 9
  27. 27.The mean of 5 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 15 (b) 18 (c) 19 (d) 24
  28. 28.What is the median of 25, 15, 11, 18, 3, 2 and 32? (a) 18 (b) 15 (c) 11 (d) 16
  29. 29.What is the mean of 7, 4, 9 and 4? (a) 8 (b) 6 (c) 5 (d) 7
  30. 30.The mean of 8 numbers is 24. When the number 60 is added to them, what is the new mean? (a) 42 (b) 24 (c) 29 (d) 28
  31. 31.What is the median of 16, 35, 19, 22 and 37? (a) 19 (b) 22 (c) 35 (d) 23
  32. 32.The mean of 4 numbers is 40. When the number 55 is added to them, what is the new mean? (a) 42 (b) 43 (c) 40 (d) 44
  33. 33.The mean of 3 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 21
  34. 34.What is the mode of 1, 18, 3, 10, 3, 10 and 10? (a) 18 (b) 3 (c) 1 (d) 10
  35. 35.The mean of 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 21 (b) 20 (c) 23 (d) 14
  36. 36.The mean of 8 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 28 (b) 21 (c) 29 (d) 30
  37. 37.The mean of 3 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 22 (b) 18 (c) 14 (d) 19
  38. 38.What is the mode of 7, 9, 11, 11, 4, 9 and 11? (a) 11 (b) 4 (c) 9 (d) 7
  39. 39.What is the mode of 12, 19, 5, 12, 19, 19 and 16? (a) 12 (b) 5 (c) 16 (d) 19
  40. 40.What is the median of 15, 25, 20, 34 and 7? (a) 21 (b) 25 (c) 15 (d) 20

Answer key

  1. 31
  2. 12
  3. 8
  4. 16
  5. 38
  6. 16
  7. 16
  8. 12
  9. 9
  10. 9
  11. 14
  12. 31
  13. 11
  14. 4
  15. 5
  16. 15
  17. 34
  18. 12
  19. 13
  20. 16
  21. 12
  22. 1
  23. 20
  24. 15
  25. 27
  26. 20
  27. 18
  28. 15
  29. 6
  30. 28
  31. 22
  32. 43
  33. 23
  34. 10
  35. 20
  36. 28
  37. 18
  38. 11
  39. 19
  40. 20

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