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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 490 · 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 9 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 33 (b) 32 (c) 37 (d) 34
  2. 2.What is the mean of 15, 6, 6, 12 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  3. 3.What is the median of 22, 40, 3, 10 and 11? (a) 11 (b) 22 (c) 3 (d) 10
  4. 4.What is the mean of 13, 15, 16 and 20? (a) 17 (b) 15 (c) 16 (d) 18
  5. 5.What is the mode of 5, 3, 3, 5, 18, 5 and 7? (a) 7 (b) 3 (c) 5 (d) 18
  6. 6.The mean of 6 numbers is 26. When the number 54 is added to them, what is the new mean? (a) 40 (b) 26 (c) 30 (d) 31
  7. 7.What is the mean of 4, 3, 10 and 7? (a) 5 (b) 7 (c) 6 (d) 8
  8. 8.What is the median of 25, 15, 21, 35 and 20? (a) 21 (b) 25 (c) 20 (d) 22
  9. 9.The mean of 6 numbers is 12. When the number 5 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 11
  10. 10.The mean of 6 numbers is 23. When the number 37 is added to them, what is the new mean? (a) 23 (b) 25 (c) 26 (d) 30
  11. 11.What is the mean of 18, 15, 20, 2, 15 and 14? (a) 15 (b) 13 (c) 14 (d) 12
  12. 12.What is the mean of 18, 13, 10, 2, 7 and 16? (a) 11 (b) 10 (c) 12 (d) 13
  13. 13.What is the mean of 7, 16, 18, 6, 9 and 22? (a) 14 (b) 15 (c) 13 (d) 12
  14. 14.What is the mode of 13, 19, 19, 5, 5, 19 and 7? (a) 7 (b) 13 (c) 5 (d) 19
  15. 15.What is the mean of 15, 7, 20, 11 and 12? (a) 15 (b) 13 (c) 14 (d) 12
  16. 16.What is the median of 21, 20, 1, 26, 31, 3 and 25? (a) 26 (b) 21 (c) 25 (d) 20
  17. 17.What is the median of 39, 17, 40, 9, 34, 31 and 25? (a) 34 (b) 31 (c) 9 (d) 25
  18. 18.What is the mode of 7, 7, 19, 7, 15, 19 and 9? (a) 19 (b) 15 (c) 9 (d) 7
  19. 19.What is the mean of 4, 9, 18, 6, 2 and 9? (a) 9 (b) 7 (c) 10 (d) 8
  20. 20.The mean of 4 numbers is 27. When the number 22 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 25
  21. 21.What is the mean of 7, 6, 10, 15, 19 and 3? (a) 12 (b) 11 (c) 9 (d) 10
  22. 22.What is the mean of 20, 3, 6 and 19? (a) 16 (b) 11 (c) 13 (d) 12
  23. 23.What is the median of 20, 26, 9, 37 and 23? (a) 20 (b) 26 (c) 23 (d) 9
  24. 24.What is the mean of 14, 4, 17, 17 and 3? (a) 13 (b) 10 (c) 12 (d) 11
  25. 25.What is the mean of 15, 13, 6 and 6? (a) 11 (b) 8 (c) 10 (d) 9
  26. 26.What is the mode of 17, 15, 5, 10, 15, 15 and 5? (a) 5 (b) 17 (c) 15 (d) 10
  27. 27.What is the mean of 14, 13, 7, 2, 4 and 14? (a) 10 (b) 8 (c) 11 (d) 9
  28. 28.What is the mean of 6, 13, 16 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  29. 29.The mean of 9 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 28
  30. 30.The mean of 3 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 7 (b) 10 (c) 11 (d) 13
  31. 31.What is the mean of 18, 16, 18 and 4? (a) 13 (b) 16 (c) 14 (d) 15
  32. 32.What is the mode of 4, 4, 12, 13, 9, 12 and 12? (a) 9 (b) 13 (c) 12 (d) 4
  33. 33.What is the mode of 4, 3, 3, 8, 11, 3 and 8? (a) 11 (b) 4 (c) 3 (d) 8
  34. 34.What is the mode of 20, 15, 10, 1, 1, 1 and 15? (a) 15 (b) 10 (c) 1 (d) 20
  35. 35.What is the mean of 14, 6, 2 and 6? (a) 8 (b) 7 (c) 9 (d) 6
  36. 36.What is the mode of 4, 2, 4, 4, 13, 11 and 2? (a) 2 (b) 11 (c) 4 (d) 13
  37. 37.What is the mode of 20, 8, 16, 16, 20, 16 and 4? (a) 8 (b) 20 (c) 4 (d) 16
  38. 38.What is the mode of 17, 17, 3, 13, 13, 13 and 5? (a) 5 (b) 17 (c) 3 (d) 13
  39. 39.What is the mean of 5, 20, 4, 13, 9 and 15? (a) 12 (b) 10 (c) 11 (d) 13
  40. 40.The mean of 7 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 20 (b) 21 (c) 18 (d) 22

Answer key

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

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