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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 446 · 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 median of 9, 26, 5, 24, 13, 22 and 19? (a) 24 (b) 13 (c) 22 (d) 19
  2. 2.What is the mean of 20, 2, 15, 20, 4 and 5? (a) 11 (b) 10 (c) 13 (d) 12
  3. 3.What is the mode of 3, 16, 16, 3, 16, 8 and 5? (a) 3 (b) 5 (c) 8 (d) 16
  4. 4.The mean of 9 numbers is 14. When the number 44 is added to them, what is the new mean? (a) 18 (b) 17 (c) 14 (d) 29
  5. 5.What is the mean of 14, 20, 9 and 9? (a) 15 (b) 13 (c) 12 (d) 14
  6. 6.The mean of 6 numbers is 32. When the number 25 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 33
  7. 7.What is the mean of 9, 8, 17, 18, 12 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  8. 8.What is the median of 13, 6, 33, 29, 15, 10 and 16? (a) 13 (b) 16 (c) 29 (d) 15
  9. 9.What is the mean of 6, 4, 8, 19 and 8? (a) 8 (b) 9 (c) 10 (d) 11
  10. 10.What is the mode of 17, 3, 3, 2, 2, 1 and 2? (a) 3 (b) 17 (c) 1 (d) 2
  11. 11.The mean of 3 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 28 (b) 22 (c) 25 (d) 26
  12. 12.The mean of 5 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 37 (b) 28 (c) 32 (d) 31
  13. 13.What is the mode of 14, 14, 6, 14, 4, 16 and 4? (a) 6 (b) 14 (c) 4 (d) 16
  14. 14.What is the mean of 5, 5, 16 and 10? (a) 12 (b) 10 (c) 9 (d) 8
  15. 15.What is the mode of 7, 14, 1, 20, 1, 7 and 1? (a) 1 (b) 14 (c) 20 (d) 7
  16. 16.What is the mode of 18, 2, 4, 2, 2, 18 and 10? (a) 10 (b) 18 (c) 2 (d) 4
  17. 17.The mean of 5 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 28 (b) 37 (c) 35 (d) 34
  18. 18.The mean of 7 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 22 (b) 24 (c) 26 (d) 25
  19. 19.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 29
  20. 20.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 16 (b) 14 (c) 10 (d) 13
  21. 21.What is the mode of 11, 7, 7, 1, 3, 11 and 11? (a) 7 (b) 3 (c) 1 (d) 11
  22. 22.What is the mean of 12, 8, 10, 15, 10 and 17? (a) 14 (b) 11 (c) 13 (d) 12
  23. 23.What is the mode of 2, 1, 2, 2, 8, 8 and 9? (a) 1 (b) 8 (c) 2 (d) 9
  24. 24.The mean of 4 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 38 (b) 32 (c) 33 (d) 28
  25. 25.What is the mode of 8, 18, 17, 8, 8, 5 and 17? (a) 8 (b) 5 (c) 17 (d) 18
  26. 26.What is the mode of 20, 17, 13, 17, 5, 13 and 13? (a) 5 (b) 20 (c) 17 (d) 13
  27. 27.The mean of 8 numbers is 28. When the number 10 is added to them, what is the new mean? (a) 19 (b) 28 (c) 27 (d) 26
  28. 28.What is the median of 20, 37, 17, 19, 35, 6 and 4? (a) 20 (b) 18 (c) 19 (d) 17
  29. 29.The mean of 6 numbers is 22. When the number 8 is added to them, what is the new mean? (a) 22 (b) 21 (c) 15 (d) 20
  30. 30.What is the median of 23, 8, 13, 11, 40, 26 and 7? (a) 11 (b) 23 (c) 14 (d) 13
  31. 31.What is the mean of 3, 11, 16 and 14? (a) 12 (b) 10 (c) 11 (d) 13
  32. 32.What is the median of 23, 1, 30, 6, 13, 39 and 15? (a) 13 (b) 6 (c) 23 (d) 15
  33. 33.The mean of 4 numbers is 23. When the number 38 is added to them, what is the new mean? (a) 25 (b) 23 (c) 26 (d) 27
  34. 34.The mean of 6 numbers is 35. When the number 7 is added to them, what is the new mean? (a) 21 (b) 35 (c) 31 (d) 32
  35. 35.What is the median of 11, 6, 5, 23 and 36? (a) 5 (b) 11 (c) 6 (d) 23
  36. 36.What is the mode of 12, 15, 12, 3, 6, 12 and 15? (a) 12 (b) 6 (c) 3 (d) 15
  37. 37.What is the mean of 6, 14, 19, 17 and 4? (a) 13 (b) 15 (c) 12 (d) 10
  38. 38.What is the median of 16, 17, 40, 37 and 18? (a) 37 (b) 18 (c) 40 (d) 17
  39. 39.What is the median of 20, 39, 7, 40 and 31? (a) 39 (b) 7 (c) 31 (d) 20
  40. 40.What is the mode of 17, 3, 11, 5, 5, 5 and 3? (a) 11 (b) 5 (c) 17 (d) 3

Answer key

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

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