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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 245 · 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 8 numbers is 11. When the number 20 is added to them, what is the new mean? (a) 12 (b) 11 (c) 14 (d) 13
  2. 2.What is the mean of 6, 15, 2, 3 and 14? (a) 10 (b) 7 (c) 9 (d) 8
  3. 3.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 14 (b) 17 (c) 15 (d) 16
  4. 4.What is the median of 21, 5, 40, 24 and 1? (a) 21 (b) 5 (c) 40 (d) 24
  5. 5.What is the mean of 19, 20, 6, 4, 17 and 12? (a) 12 (b) 15 (c) 13 (d) 14
  6. 6.What is the median of 37, 38, 11, 14 and 29? (a) 37 (b) 29 (c) 11 (d) 14
  7. 7.The mean of 9 numbers is 28. When the number 68 is added to them, what is the new mean? (a) 28 (b) 32 (c) 48 (d) 33
  8. 8.The mean of 5 numbers is 19. When the number 43 is added to them, what is the new mean? (a) 23 (b) 31 (c) 24 (d) 19
  9. 9.The mean of 5 numbers is 26. When the number 20 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 23
  10. 10.What is the mode of 15, 1, 17, 15, 5, 17 and 15? (a) 1 (b) 17 (c) 5 (d) 15
  11. 11.The mean of 5 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 25 (b) 34 (c) 32 (d) 31
  12. 12.What is the mode of 18, 2, 5, 2, 2, 5 and 11? (a) 2 (b) 5 (c) 11 (d) 18
  13. 13.What is the mean of 3, 6, 8, 18, 19 and 12? (a) 10 (b) 13 (c) 12 (d) 11
  14. 14.The mean of 6 numbers is 13. When the number 41 is added to them, what is the new mean? (a) 17 (b) 18 (c) 13 (d) 27
  15. 15.What is the mean of 16, 15, 15, 4, 17 and 17? (a) 14 (b) 12 (c) 13 (d) 15
  16. 16.What is the mode of 9, 9, 18, 7, 7, 7 and 20? (a) 18 (b) 9 (c) 7 (d) 20
  17. 17.What is the mean of 9, 17, 11, 13 and 10? (a) 13 (b) 12 (c) 15 (d) 10
  18. 18.What is the mean of 10, 10, 2 and 14? (a) 10 (b) 12 (c) 8 (d) 9
  19. 19.What is the mode of 9, 11, 9, 11, 3, 11 and 5? (a) 11 (b) 9 (c) 3 (d) 5
  20. 20.What is the median of 35, 1, 2, 10 and 21? (a) 10 (b) 2 (c) 11 (d) 21
  21. 21.The mean of 7 numbers is 30. When the number 54 is added to them, what is the new mean? (a) 34 (b) 30 (c) 33 (d) 42
  22. 22.What is the mode of 5, 8, 5, 13, 16, 13 and 5? (a) 16 (b) 13 (c) 5 (d) 8
  23. 23.What is the mean of 16, 8, 12, 7 and 7? (a) 9 (b) 10 (c) 12 (d) 11
  24. 24.What is the mean of 4, 11, 17, 20 and 18? (a) 16 (b) 13 (c) 15 (d) 14
  25. 25.What is the mean of 2, 6, 13, 3 and 6? (a) 5 (b) 6 (c) 7 (d) 8
  26. 26.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 15
  27. 27.What is the median of 26, 11, 30, 36 and 10? (a) 11 (b) 27 (c) 30 (d) 26
  28. 28.What is the median of 17, 28, 39, 9 and 37? (a) 37 (b) 26 (c) 28 (d) 39
  29. 29.What is the median of 38, 13, 12, 15, 3, 32 and 31? (a) 15 (b) 16 (c) 31 (d) 13
  30. 30.The mean of 4 numbers is 31. When the number 46 is added to them, what is the new mean? (a) 34 (b) 33 (c) 31 (d) 35
  31. 31.What is the mode of 9, 5, 5, 18, 8, 9 and 9? (a) 18 (b) 8 (c) 9 (d) 5
  32. 32.The mean of 3 numbers is 35. When the number 23 is added to them, what is the new mean? (a) 35 (b) 33 (c) 32 (d) 29
  33. 33.What is the mode of 4, 15, 19, 19, 2, 19 and 2? (a) 2 (b) 15 (c) 4 (d) 19
  34. 34.The mean of 9 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 33 (b) 35 (c) 30 (d) 34
  35. 35.What is the median of 34, 6, 17, 22, 13, 25 and 32? (a) 22 (b) 17 (c) 25 (d) 23
  36. 36.What is the mean of 16, 6, 6, 19, 18 and 7? (a) 11 (b) 12 (c) 14 (d) 13
  37. 37.What is the median of 10, 14, 22, 32 and 23? (a) 22 (b) 14 (c) 23 (d) 21
  38. 38.The mean of 4 numbers is 27. When the number 32 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 27
  39. 39.What is the median of 12, 2, 31, 27, 17, 1 and 29? (a) 17 (b) 18 (c) 12 (d) 27
  40. 40.What is the mean of 12, 8, 9, 11 and 10? (a) 9 (b) 11 (c) 10 (d) 12

Answer key

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

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