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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 541 · 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 4 numbers is 40. When the number 35 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 39
  2. 2.What is the median of 12, 23, 37, 27, 25, 14 and 29? (a) 26 (b) 25 (c) 27 (d) 23
  3. 3.What is the median of 37, 35, 21, 2 and 36? (a) 34 (b) 21 (c) 35 (d) 36
  4. 4.What is the mode of 12, 5, 12, 5, 20, 14 and 12? (a) 5 (b) 14 (c) 12 (d) 20
  5. 5.What is the median of 7, 4, 1, 40 and 31? (a) 31 (b) 1 (c) 4 (d) 7
  6. 6.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 17 (b) 18 (c) 13 (d) 21
  7. 7.What is the median of 4, 6, 11, 1 and 22? (a) 4 (b) 11 (c) 6 (d) 7
  8. 8.What is the median of 20, 9, 7, 2, 37, 26 and 14? (a) 2 (b) 9 (c) 20 (d) 14
  9. 9.The mean of 5 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 33 (b) 32 (c) 26 (d) 35
  10. 10.The mean of 7 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 39 (b) 38 (c) 35 (d) 37
  11. 11.What is the mode of 14, 7, 7, 16, 14, 14 and 5? (a) 14 (b) 16 (c) 7 (d) 5
  12. 12.The mean of 4 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 35 (b) 37 (c) 32 (d) 34
  13. 13.What is the mean of 3, 6, 4 and 15? (a) 6 (b) 9 (c) 7 (d) 8
  14. 14.What is the median of 2, 35, 26, 7 and 20? (a) 18 (b) 26 (c) 20 (d) 7
  15. 15.What is the mode of 5, 4, 20, 7, 5, 7 and 7? (a) 4 (b) 5 (c) 20 (d) 7
  16. 16.What is the mean of 2, 13, 14, 7, 2 and 4? (a) 6 (b) 9 (c) 8 (d) 7
  17. 17.What is the mode of 20, 20, 4, 4, 14, 12 and 20? (a) 20 (b) 4 (c) 14 (d) 12
  18. 18.The mean of 9 numbers is 12. When the number 52 is added to them, what is the new mean? (a) 32 (b) 17 (c) 16 (d) 12
  19. 19.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 27 (b) 17 (c) 22 (d) 21
  20. 20.What is the mean of 10, 2, 15, 9 and 4? (a) 9 (b) 7 (c) 10 (d) 8
  21. 21.What is the mean of 14, 14, 17, 11, 13 and 21? (a) 14 (b) 15 (c) 18 (d) 16
  22. 22.The mean of 4 numbers is 18. When the number 3 is added to them, what is the new mean? (a) 14 (b) 18 (c) 16 (d) 15
  23. 23.The mean of 7 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 18 (b) 19 (c) 16 (d) 20
  24. 24.What is the mean of 14, 19, 11, 4 and 17? (a) 15 (b) 12 (c) 13 (d) 14
  25. 25.What is the median of 15, 11, 16, 32, 24, 5 and 1? (a) 32 (b) 16 (c) 15 (d) 11
  26. 26.What is the median of 7, 15, 6, 16 and 19? (a) 7 (b) 15 (c) 16 (d) 6
  27. 27.What is the median of 20, 29, 40, 17, 16, 9 and 4? (a) 17 (b) 16 (c) 20 (d) 18
  28. 28.The mean of 9 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 43 (b) 36 (c) 33 (d) 35
  29. 29.The mean of 8 numbers is 13. When the number 22 is added to them, what is the new mean? (a) 14 (b) 16 (c) 13 (d) 15
  30. 30.What is the mean of 14, 3, 12 and 23? (a) 13 (b) 14 (c) 15 (d) 12
  31. 31.What is the median of 32, 23, 2, 29, 5, 25 and 24? (a) 29 (b) 24 (c) 20 (d) 25
  32. 32.What is the mode of 17, 12, 9, 9, 9, 17 and 6? (a) 17 (b) 6 (c) 9 (d) 12
  33. 33.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 16 (b) 21 (c) 24 (d) 20
  34. 34.What is the mean of 12, 4, 11, 6, 2 and 13? (a) 10 (b) 9 (c) 7 (d) 8
  35. 35.The mean of 4 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 41 (b) 36 (c) 40 (d) 46
  36. 36.What is the mode of 2, 2, 16, 2, 16, 3 and 20? (a) 20 (b) 2 (c) 3 (d) 16
  37. 37.What is the mode of 5, 18, 18, 13, 5, 16 and 18? (a) 16 (b) 13 (c) 5 (d) 18
  38. 38.What is the mode of 1, 11, 17, 17, 1, 8 and 1? (a) 1 (b) 8 (c) 17 (d) 11
  39. 39.What is the mean of 10, 5, 6, 10 and 19? (a) 10 (b) 12 (c) 9 (d) 11
  40. 40.What is the median of 36, 1, 5, 31, 3, 27 and 29? (a) 29 (b) 5 (c) 31 (d) 27

Answer key

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

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