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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 54 · 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 4, 2, 2, 2 and 15? (a) 6 (b) 4 (c) 7 (d) 5
  2. 2.What is the median of 16, 39, 27, 35, 6, 40 and 1? (a) 28 (b) 27 (c) 35 (d) 16
  3. 3.The mean of 7 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 37 (b) 40 (c) 39 (d) 45
  4. 4.What is the median of 34, 36, 22, 25 and 31? (a) 31 (b) 34 (c) 25 (d) 22
  5. 5.What is the median of 35, 4, 7, 23 and 33? (a) 7 (b) 24 (c) 33 (d) 23
  6. 6.What is the median of 5, 37, 35, 24 and 14? (a) 23 (b) 35 (c) 14 (d) 24
  7. 7.What is the mode of 5, 3, 3, 5, 8, 5 and 2? (a) 5 (b) 8 (c) 3 (d) 2
  8. 8.What is the mean of 13, 9, 16, 5, 9 and 20? (a) 14 (b) 12 (c) 13 (d) 11
  9. 9.The mean of 3 numbers is 29. When the number 13 is added to them, what is the new mean? (a) 29 (b) 26 (c) 21 (d) 25
  10. 10.What is the median of 11, 12, 14, 7 and 37? (a) 13 (b) 11 (c) 12 (d) 14
  11. 11.What is the mean of 18, 20, 13 and 9? (a) 20 (b) 16 (c) 15 (d) 12
  12. 12.What is the median of 33, 38, 7, 1, 14, 10 and 40? (a) 1 (b) 33 (c) 14 (d) 10
  13. 13.What is the median of 35, 31, 17, 12, 18, 16 and 4? (a) 19 (b) 12 (c) 17 (d) 18
  14. 14.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 34 (b) 32 (c) 35 (d) 33
  15. 15.What is the mean of 4, 12, 5 and 7? (a) 9 (b) 6 (c) 8 (d) 7
  16. 16.What is the mean of 4, 19, 20, 19 and 8? (a) 13 (b) 14 (c) 16 (d) 15
  17. 17.What is the median of 1, 36, 40, 14 and 22? (a) 40 (b) 36 (c) 22 (d) 14
  18. 18.What is the mode of 4, 2, 19, 7, 7, 7 and 4? (a) 4 (b) 7 (c) 2 (d) 19
  19. 19.What is the mode of 1, 15, 8, 5, 15, 1 and 1? (a) 1 (b) 5 (c) 15 (d) 8
  20. 20.The mean of 7 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 38 (b) 34 (c) 46 (d) 37
  21. 21.What is the mode of 8, 13, 18, 8, 8, 12 and 18? (a) 18 (b) 13 (c) 8 (d) 12
  22. 22.What is the mean of 5, 8, 6, 11 and 20? (a) 9 (b) 12 (c) 11 (d) 10
  23. 23.What is the mode of 3, 14, 17, 17, 17, 6 and 6? (a) 6 (b) 17 (c) 3 (d) 14
  24. 24.The mean of 6 numbers is 39. When the number 18 is added to them, what is the new mean? (a) 39 (b) 37 (c) 35 (d) 36
  25. 25.What is the mode of 13, 6, 18, 13, 16, 6 and 6? (a) 18 (b) 13 (c) 6 (d) 16
  26. 26.The mean of 7 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 27 (b) 25 (c) 23 (d) 26
  27. 27.The mean of 5 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 29 (b) 25 (c) 31 (d) 30
  28. 28.What is the median of 28, 39, 5, 27 and 32? (a) 32 (b) 5 (c) 27 (d) 28
  29. 29.The mean of 8 numbers is 39. When the number 48 is added to them, what is the new mean? (a) 39 (b) 42 (c) 40 (d) 41
  30. 30.The mean of 3 numbers is 28. When the number 24 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 29
  31. 31.What is the median of 11, 23, 28, 36, 2, 3 and 40? (a) 36 (b) 28 (c) 23 (d) 11
  32. 32.What is the mean of 2, 18, 5, 8, 8 and 19? (a) 11 (b) 10 (c) 9 (d) 12
  33. 33.What is the median of 1, 23, 22, 33 and 24? (a) 25 (b) 22 (c) 23 (d) 24
  34. 34.The mean of 3 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 13 (b) 19 (c) 16 (d) 17
  35. 35.What is the mean of 9, 4, 18 and 13? (a) 11 (b) 13 (c) 10 (d) 12
  36. 36.What is the median of 31, 12, 17, 40 and 6? (a) 18 (b) 31 (c) 17 (d) 12
  37. 37.What is the mode of 4, 3, 9, 18, 18, 9 and 18? (a) 4 (b) 9 (c) 18 (d) 3
  38. 38.What is the mean of 7, 7, 15 and 11? (a) 9 (b) 11 (c) 8 (d) 10
  39. 39.What is the mean of 11, 7, 13, 13 and 16? (a) 15 (b) 10 (c) 13 (d) 12
  40. 40.What is the median of 12, 38, 5, 18, 27, 22 and 14? (a) 18 (b) 22 (c) 19 (d) 14

Answer key

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

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