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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 586 · 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 mode of 12, 9, 1, 1, 1, 7 and 12? (a) 7 (b) 12 (c) 9 (d) 1
  2. 2.What is the median of 9, 1, 19, 38 and 22? (a) 19 (b) 9 (c) 22 (d) 20
  3. 3.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 18 (b) 20 (c) 24 (d) 21
  4. 4.What is the mode of 3, 9, 13, 9, 6, 3 and 3? (a) 9 (b) 3 (c) 13 (d) 6
  5. 5.What is the mean of 4, 14, 3 and 3? (a) 7 (b) 5 (c) 6 (d) 8
  6. 6.What is the mean of 19, 3, 3 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  7. 7.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 21 (b) 22 (c) 20 (d) 19
  8. 8.The mean of 4 numbers is 10. When the number 30 is added to them, what is the new mean? (a) 10 (b) 20 (c) 15 (d) 14
  9. 9.What is the median of 22, 24, 29, 12 and 18? (a) 24 (b) 29 (c) 22 (d) 21
  10. 10.What is the median of 24, 7, 28, 11 and 12? (a) 28 (b) 12 (c) 24 (d) 11
  11. 11.What is the mean of 14, 2, 15 and 9? (a) 10 (b) 8 (c) 9 (d) 11
  12. 12.What is the mean of 15, 20, 17 and 20? (a) 19 (b) 17 (c) 24 (d) 18
  13. 13.The mean of 6 numbers is 31. When the number 24 is added to them, what is the new mean? (a) 30 (b) 32 (c) 29 (d) 31
  14. 14.What is the mean of 13, 8, 14 and 21? (a) 15 (b) 16 (c) 14 (d) 13
  15. 15.What is the mean of 2, 10, 4 and 8? (a) 8 (b) 7 (c) 6 (d) 5
  16. 16.The mean of 6 numbers is 35. When the number 7 is added to them, what is the new mean? (a) 35 (b) 21 (c) 31 (d) 32
  17. 17.What is the mode of 1, 13, 10, 1, 1, 7 and 10? (a) 1 (b) 7 (c) 13 (d) 10
  18. 18.What is the mean of 14, 12, 2, 4, 2 and 20? (a) 9 (b) 8 (c) 11 (d) 10
  19. 19.What is the median of 34, 40, 29, 10 and 21? (a) 34 (b) 30 (c) 29 (d) 21
  20. 20.What is the mean of 12, 19, 17, 3, 12 and 15? (a) 14 (b) 12 (c) 15 (d) 13
  21. 21.What is the mean of 15, 11, 2, 3 and 14? (a) 10 (b) 11 (c) 9 (d) 8
  22. 22.The mean of 4 numbers is 38. When the number 23 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 38
  23. 23.What is the mean of 2, 7, 19 and 4? (a) 9 (b) 8 (c) 10 (d) 7
  24. 24.What is the mean of 13, 19, 11, 14, 5 and 10? (a) 11 (b) 13 (c) 14 (d) 12
  25. 25.What is the median of 17, 18, 4, 1, 12, 37 and 26? (a) 18 (b) 12 (c) 1 (d) 17
  26. 26.The mean of 3 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 17 (b) 9 (c) 14 (d) 13
  27. 27.What is the median of 30, 17, 10, 6, 24, 28 and 18? (a) 18 (b) 24 (c) 6 (d) 19
  28. 28.What is the mode of 16, 18, 16, 5, 5, 11 and 16? (a) 5 (b) 11 (c) 16 (d) 18
  29. 29.The mean of 5 numbers is 11. When the number 35 is added to them, what is the new mean? (a) 23 (b) 15 (c) 11 (d) 16
  30. 30.What is the mode of 10, 2, 11, 4, 10, 11 and 11? (a) 11 (b) 2 (c) 4 (d) 10
  31. 31.What is the mean of 10, 14, 6, 9 and 21? (a) 15 (b) 12 (c) 10 (d) 13
  32. 32.What is the mode of 6, 6, 12, 17, 17, 5 and 6? (a) 17 (b) 5 (c) 12 (d) 6
  33. 33.The mean of 3 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 22
  34. 34.What is the median of 29, 36, 6, 20, 5, 7 and 26? (a) 26 (b) 21 (c) 7 (d) 20
  35. 35.What is the mean of 20, 19, 15 and 18? (a) 18 (b) 24 (c) 17 (d) 19
  36. 36.What is the mode of 4, 6, 6, 15, 6, 4 and 13? (a) 4 (b) 15 (c) 6 (d) 13
  37. 37.The mean of 5 numbers is 24. When the number 18 is added to them, what is the new mean? (a) 24 (b) 22 (c) 21 (d) 23
  38. 38.What is the mean of 20, 20, 6, 10 and 4? (a) 10 (b) 12 (c) 15 (d) 13
  39. 39.The mean of 7 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 18 (b) 26 (c) 21 (d) 20
  40. 40.What is the mean of 10, 13, 14 and 3? (a) 8 (b) 9 (c) 10 (d) 11

Answer key

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

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