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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 477 · 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 mean of 5, 17, 7, 10 and 11? (a) 11 (b) 10 (c) 12 (d) 9
  2. 2.What is the mode of 17, 5, 14, 3, 5, 5 and 17? (a) 3 (b) 17 (c) 5 (d) 14
  3. 3.What is the mode of 1, 15, 15, 15, 1, 7 and 13? (a) 13 (b) 15 (c) 1 (d) 7
  4. 4.The mean of 5 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 35 (b) 38 (c) 34 (d) 26
  5. 5.The mean of 3 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 22 (b) 20 (c) 16 (d) 19
  6. 6.The mean of 7 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 20 (b) 18 (c) 19 (d) 12
  7. 7.What is the median of 15, 13, 36, 11, 32, 10 and 30? (a) 15 (b) 30 (c) 11 (d) 21
  8. 8.The mean of 5 numbers is 35. When the number 59 is added to them, what is the new mean? (a) 47 (b) 35 (c) 40 (d) 39
  9. 9.What is the mode of 11, 20, 11, 11, 3, 3 and 14? (a) 20 (b) 3 (c) 14 (d) 11
  10. 10.What is the median of 4, 37, 20, 25 and 8? (a) 8 (b) 25 (c) 21 (d) 20
  11. 11.What is the mean of 17, 17, 2 and 20? (a) 13 (b) 16 (c) 14 (d) 15
  12. 12.What is the median of 37, 38, 22, 21 and 4? (a) 23 (b) 21 (c) 37 (d) 22
  13. 13.What is the mean of 14, 8, 7, 15, 11 and 23? (a) 14 (b) 12 (c) 15 (d) 13
  14. 14.What is the median of 29, 35, 2, 5 and 4? (a) 29 (b) 5 (c) 15 (d) 2
  15. 15.What is the mean of 7, 20, 6 and 11? (a) 10 (b) 13 (c) 11 (d) 12
  16. 16.The mean of 7 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 18
  17. 17.What is the mode of 16, 12, 1, 8, 12, 8 and 12? (a) 8 (b) 1 (c) 16 (d) 12
  18. 18.The mean of 3 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 23 (b) 19 (c) 20 (d) 15
  19. 19.What is the mode of 4, 16, 16, 7, 7, 16 and 2? (a) 2 (b) 4 (c) 7 (d) 16
  20. 20.What is the mean of 15, 10, 3, 20, 8 and 10? (a) 10 (b) 13 (c) 12 (d) 11
  21. 21.What is the median of 10, 11, 34, 28, 40, 19 and 12? (a) 19 (b) 22 (c) 12 (d) 28
  22. 22.What is the mean of 10, 2, 16, 7, 7 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  23. 23.The mean of 9 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 34 (b) 33 (c) 37 (d) 32
  24. 24.What is the mode of 17, 14, 15, 13, 17, 17 and 14? (a) 15 (b) 14 (c) 13 (d) 17
  25. 25.The mean of 7 numbers is 28. When the number 20 is added to them, what is the new mean? (a) 28 (b) 24 (c) 26 (d) 27
  26. 26.What is the mode of 10, 19, 8, 4, 4, 4 and 8? (a) 8 (b) 19 (c) 4 (d) 10
  27. 27.What is the mode of 18, 3, 20, 18, 18, 2 and 3? (a) 20 (b) 2 (c) 3 (d) 18
  28. 28.What is the mode of 14, 10, 10, 6, 14, 10 and 4? (a) 10 (b) 14 (c) 4 (d) 6
  29. 29.What is the median of 39, 18, 9, 13, 36, 5 and 3? (a) 14 (b) 18 (c) 13 (d) 9
  30. 30.The mean of 7 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 34 (b) 35 (c) 36 (d) 38
  31. 31.What is the median of 4, 14, 38, 40 and 21? (a) 38 (b) 21 (c) 22 (d) 14
  32. 32.What is the median of 38, 16, 17, 1 and 35? (a) 18 (b) 35 (c) 16 (d) 17
  33. 33.The mean of 9 numbers is 22. When the number 52 is added to them, what is the new mean? (a) 25 (b) 26 (c) 22 (d) 37
  34. 34.What is the median of 6, 34, 13, 3 and 12? (a) 6 (b) 12 (c) 13 (d) 11
  35. 35.What is the mean of 2, 2, 7 and 13? (a) 8 (b) 7 (c) 6 (d) 5
  36. 36.What is the mean of 3, 8, 2 and 11? (a) 5 (b) 8 (c) 7 (d) 6
  37. 37.What is the mean of 16, 5, 6, 13, 8 and 18? (a) 13 (b) 10 (c) 12 (d) 11
  38. 38.The mean of 7 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 38 (b) 32 (c) 39 (d) 40
  39. 39.What is the median of 13, 40, 9, 10, 18, 28 and 12? (a) 18 (b) 13 (c) 12 (d) 10
  40. 40.What is the median of 24, 25, 21, 33, 20, 18 and 10? (a) 24 (b) 33 (c) 21 (d) 20

Answer key

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

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