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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 84 · 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 16, 5, 10, 3 and 21? (a) 11 (b) 12 (c) 10 (d) 13
  2. 2.What is the mode of 6, 14, 4, 1, 1, 1 and 4? (a) 1 (b) 6 (c) 14 (d) 4
  3. 3.What is the mean of 5, 10, 9, 16, 9 and 17? (a) 10 (b) 11 (c) 13 (d) 12
  4. 4.The mean of 7 numbers is 27. When the number 59 is added to them, what is the new mean? (a) 43 (b) 27 (c) 32 (d) 31
  5. 5.The mean of 9 numbers is 25. When the number 55 is added to them, what is the new mean? (a) 28 (b) 29 (c) 40 (d) 25
  6. 6.The mean of 5 numbers is 37. When the number 13 is added to them, what is the new mean? (a) 37 (b) 33 (c) 25 (d) 34
  7. 7.What is the mean of 7, 2, 18 and 17? (a) 11 (b) 10 (c) 13 (d) 12
  8. 8.What is the mode of 8, 6, 9, 1, 8, 1 and 8? (a) 8 (b) 6 (c) 9 (d) 1
  9. 9.What is the mode of 1, 6, 6, 18, 6, 1 and 3? (a) 3 (b) 6 (c) 1 (d) 18
  10. 10.What is the mean of 5, 11, 6 and 2? (a) 7 (b) 5 (c) 6 (d) 8
  11. 11.What is the median of 3, 8, 38, 19 and 1? (a) 38 (b) 8 (c) 19 (d) 3
  12. 12.The mean of 8 numbers is 32. When the number 23 is added to them, what is the new mean? (a) 30 (b) 33 (c) 31 (d) 32
  13. 13.What is the mode of 16, 2, 16, 17, 19, 19 and 19? (a) 2 (b) 19 (c) 17 (d) 16
  14. 14.What is the mode of 9, 7, 7, 11, 6, 11 and 11? (a) 6 (b) 11 (c) 7 (d) 9
  15. 15.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 27
  16. 16.What is the median of 30, 8, 6, 10 and 3? (a) 9 (b) 8 (c) 6 (d) 10
  17. 17.The mean of 8 numbers is 29. When the number 20 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 30
  18. 18.What is the median of 7, 10, 35, 26, 38, 16 and 33? (a) 33 (b) 16 (c) 27 (d) 26
  19. 19.The mean of 6 numbers is 33. When the number 19 is added to them, what is the new mean? (a) 26 (b) 32 (c) 33 (d) 31
  20. 20.What is the mode of 7, 2, 2, 1, 1, 4 and 1? (a) 2 (b) 4 (c) 7 (d) 1
  21. 21.What is the mean of 18, 17, 5, 10 and 15? (a) 14 (b) 13 (c) 15 (d) 12
  22. 22.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 19 (b) 13 (c) 17 (d) 16
  23. 23.What is the mode of 18, 17, 4, 4, 4, 14 and 14? (a) 17 (b) 14 (c) 4 (d) 18
  24. 24.The mean of 8 numbers is 23. When the number 50 is added to them, what is the new mean? (a) 27 (b) 23 (c) 26 (d) 25
  25. 25.What is the median of 29, 2, 33, 39 and 7? (a) 29 (b) 22 (c) 7 (d) 33
  26. 26.What is the median of 12, 13, 32, 19 and 6? (a) 19 (b) 13 (c) 12 (d) 32
  27. 27.What is the mean of 20, 18, 4, 10, 16 and 16? (a) 15 (b) 14 (c) 13 (d) 12
  28. 28.The mean of 4 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 19 (b) 15 (c) 18 (d) 20
  29. 29.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 33
  30. 30.What is the mode of 16, 19, 4, 13, 19, 4 and 19? (a) 13 (b) 19 (c) 4 (d) 16
  31. 31.What is the mode of 1, 1, 8, 14, 14, 5 and 14? (a) 1 (b) 14 (c) 5 (d) 8
  32. 32.What is the mean of 3, 11, 12 and 22? (a) 12 (b) 13 (c) 11 (d) 16
  33. 33.What is the mode of 15, 4, 15, 19, 8, 4 and 4? (a) 19 (b) 4 (c) 8 (d) 15
  34. 34.What is the mean of 9, 9, 2 and 16? (a) 8 (b) 9 (c) 10 (d) 12
  35. 35.The mean of 7 numbers is 28. When the number 52 is added to them, what is the new mean? (a) 32 (b) 28 (c) 31 (d) 40
  36. 36.What is the median of 31, 34, 9, 1, 12, 4 and 27? (a) 1 (b) 9 (c) 27 (d) 12
  37. 37.The mean of 9 numbers is 29. When the number 49 is added to them, what is the new mean? (a) 39 (b) 31 (c) 29 (d) 32
  38. 38.What is the mean of 12, 13, 15 and 16? (a) 14 (b) 13 (c) 16 (d) 15
  39. 39.The mean of 3 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 29 (b) 32 (c) 33 (d) 31
  40. 40.What is the mean of 6, 6, 11, 2, 5 and 18? (a) 9 (b) 8 (c) 10 (d) 7

Answer key

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

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