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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 708 · 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 3 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 38 (b) 34 (c) 37 (d) 40
  2. 2.What is the mean of 3, 15, 19 and 19? (a) 14 (b) 15 (c) 16 (d) 13
  3. 3.What is the mode of 8, 8, 15, 14, 8, 14 and 3? (a) 14 (b) 3 (c) 15 (d) 8
  4. 4.What is the mean of 16, 17, 14 and 17? (a) 17 (b) 18 (c) 16 (d) 15
  5. 5.What is the mode of 11, 13, 5, 3, 5, 11 and 5? (a) 5 (b) 11 (c) 13 (d) 3
  6. 6.What is the mode of 3, 11, 3, 15, 16, 11 and 11? (a) 3 (b) 15 (c) 11 (d) 16
  7. 7.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 28 (b) 29 (c) 32 (d) 22
  8. 8.What is the median of 38, 34, 1, 20, 37, 9 and 4? (a) 9 (b) 21 (c) 34 (d) 20
  9. 9.What is the mean of 20, 7, 19 and 14? (a) 16 (b) 12 (c) 20 (d) 15
  10. 10.What is the mean of 8, 20, 16, 18 and 18? (a) 20 (b) 15 (c) 17 (d) 16
  11. 11.What is the mean of 15, 8, 16, 20, 3 and 22? (a) 12 (b) 13 (c) 14 (d) 15
  12. 12.What is the mode of 15, 4, 4, 1, 1, 10 and 1? (a) 10 (b) 15 (c) 4 (d) 1
  13. 13.What is the mode of 15, 5, 15, 5, 14, 11 and 5? (a) 5 (b) 11 (c) 15 (d) 14
  14. 14.What is the median of 37, 23, 31, 3 and 38? (a) 37 (b) 23 (c) 31 (d) 32
  15. 15.What is the median of 28, 21, 12, 19 and 2? (a) 21 (b) 20 (c) 12 (d) 19
  16. 16.What is the mean of 8, 8, 5, 3 and 16? (a) 10 (b) 8 (c) 9 (d) 7
  17. 17.What is the mean of 3, 20, 14 and 7? (a) 12 (b) 13 (c) 10 (d) 11
  18. 18.What is the mean of 12, 13, 4, 11, 16 and 16? (a) 12 (b) 11 (c) 14 (d) 13
  19. 19.What is the mode of 1, 7, 14, 10, 1, 1 and 7? (a) 10 (b) 14 (c) 7 (d) 1
  20. 20.The mean of 8 numbers is 40. When the number 49 is added to them, what is the new mean? (a) 42 (b) 41 (c) 40 (d) 43
  21. 21.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 32 (b) 30 (c) 29 (d) 31
  22. 22.What is the mean of 7, 12, 13, 14, 4 and 10? (a) 9 (b) 11 (c) 10 (d) 12
  23. 23.What is the mean of 19, 9, 13 and 19? (a) 16 (b) 12 (c) 20 (d) 15
  24. 24.What is the mean of 9, 8, 2, 14, 12 and 15? (a) 11 (b) 10 (c) 12 (d) 9
  25. 25.What is the mode of 15, 5, 5, 15, 18, 8 and 15? (a) 8 (b) 18 (c) 15 (d) 5
  26. 26.What is the mode of 4, 7, 4, 20, 10, 7 and 4? (a) 7 (b) 20 (c) 10 (d) 4
  27. 27.What is the mode of 4, 10, 1, 1, 2, 2 and 2? (a) 2 (b) 1 (c) 4 (d) 10
  28. 28.What is the mean of 8, 7, 15, 4 and 11? (a) 10 (b) 9 (c) 8 (d) 11
  29. 29.What is the mode of 3, 8, 3, 10, 18, 10 and 10? (a) 10 (b) 8 (c) 18 (d) 3
  30. 30.What is the median of 21, 12, 15, 36 and 17? (a) 18 (b) 17 (c) 21 (d) 15
  31. 31.What is the median of 15, 3, 12, 17 and 21? (a) 17 (b) 15 (c) 12 (d) 16
  32. 32.What is the mean of 11, 2, 14, 14, 20 and 11? (a) 13 (b) 14 (c) 12 (d) 11
  33. 33.What is the mode of 7, 18, 7, 18, 20, 7 and 14? (a) 18 (b) 14 (c) 7 (d) 20
  34. 34.The mean of 4 numbers is 16. When the number 11 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 14
  35. 35.The mean of 9 numbers is 31. When the number 41 is added to them, what is the new mean? (a) 31 (b) 36 (c) 32 (d) 33
  36. 36.The mean of 3 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 24 (b) 28 (c) 30 (d) 27
  37. 37.What is the mean of 12, 8, 17, 14 and 9? (a) 15 (b) 12 (c) 10 (d) 13
  38. 38.The mean of 9 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 38
  39. 39.The mean of 3 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 24 (b) 22 (c) 26 (d) 25
  40. 40.What is the mode of 8, 12, 8, 12, 19, 1 and 12? (a) 1 (b) 8 (c) 19 (d) 12

Answer key

  1. 37
  2. 14
  3. 8
  4. 16
  5. 5
  6. 11
  7. 28
  8. 20
  9. 15
  10. 16
  11. 14
  12. 1
  13. 5
  14. 31
  15. 19
  16. 8
  17. 11
  18. 12
  19. 1
  20. 41
  21. 30
  22. 10
  23. 15
  24. 10
  25. 15
  26. 4
  27. 2
  28. 9
  29. 10
  30. 17
  31. 15
  32. 12
  33. 7
  34. 15
  35. 32
  36. 27
  37. 12
  38. 34
  39. 24
  40. 12

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