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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 843 · 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 27. When the number 11 is added to them, what is the new mean? (a) 23 (b) 19 (c) 24 (d) 27
  2. 2.What is the mean of 6, 18, 4, 8, 7 and 23? (a) 13 (b) 12 (c) 10 (d) 11
  3. 3.The mean of 9 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 38
  4. 4.What is the mean of 5, 5, 3 and 19? (a) 9 (b) 10 (c) 8 (d) 7
  5. 5.What is the mean of 12, 10, 16, 16 and 11? (a) 12 (b) 14 (c) 13 (d) 15
  6. 6.What is the mean of 17, 18, 20, 13, 4 and 6? (a) 12 (b) 15 (c) 14 (d) 13
  7. 7.The mean of 4 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 40 (b) 35 (c) 39 (d) 38
  8. 8.What is the median of 5, 6, 35, 9 and 32? (a) 6 (b) 35 (c) 9 (d) 32
  9. 9.The mean of 4 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 26 (b) 33 (c) 36 (d) 32
  10. 10.What is the mean of 7, 9, 15 and 13? (a) 12 (b) 13 (c) 10 (d) 11
  11. 11.What is the mean of 15, 14, 4, 15, 4 and 8? (a) 11 (b) 12 (c) 9 (d) 10
  12. 12.What is the mode of 19, 11, 19, 16, 16, 19 and 10? (a) 11 (b) 16 (c) 10 (d) 19
  13. 13.What is the mean of 5, 14, 11, 14, 9 and 13? (a) 13 (b) 12 (c) 10 (d) 11
  14. 14.What is the mode of 13, 17, 5, 10, 10, 5 and 5? (a) 17 (b) 5 (c) 13 (d) 10
  15. 15.What is the median of 28, 32, 26, 5, 7, 37 and 6? (a) 26 (b) 5 (c) 7 (d) 28
  16. 16.What is the mean of 7, 2, 7 and 4? (a) 5 (b) 4 (c) 6 (d) 7
  17. 17.What is the mean of 19, 7, 11 and 19? (a) 14 (b) 16 (c) 13 (d) 15
  18. 18.What is the mode of 18, 15, 14, 18, 15, 15 and 4? (a) 14 (b) 15 (c) 4 (d) 18
  19. 19.What is the median of 13, 31, 7, 34, 40, 32 and 10? (a) 31 (b) 32 (c) 13 (d) 34
  20. 20.What is the mode of 6, 5, 19, 18, 5, 6 and 6? (a) 5 (b) 19 (c) 18 (d) 6
  21. 21.What is the mean of 3, 15, 5, 3, 15 and 13? (a) 9 (b) 11 (c) 8 (d) 10
  22. 22.What is the median of 17, 7, 3, 29 and 28? (a) 17 (b) 3 (c) 28 (d) 7
  23. 23.The mean of 4 numbers is 10. When the number 25 is added to them, what is the new mean? (a) 13 (b) 14 (c) 10 (d) 12
  24. 24.The mean of 3 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 19 (b) 14 (c) 22 (d) 18
  25. 25.The mean of 6 numbers is 25. When the number 18 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 25
  26. 26.What is the median of 16, 10, 4, 19 and 18? (a) 18 (b) 10 (c) 4 (d) 16
  27. 27.What is the mode of 17, 9, 1, 17, 2, 9 and 17? (a) 2 (b) 1 (c) 17 (d) 9
  28. 28.What is the median of 3, 24, 37, 36, 10, 23 and 5? (a) 23 (b) 24 (c) 36 (d) 10
  29. 29.What is the median of 28, 23, 4, 35 and 14? (a) 28 (b) 4 (c) 23 (d) 14
  30. 30.What is the mode of 6, 13, 13, 13, 2, 11 and 11? (a) 13 (b) 2 (c) 6 (d) 11
  31. 31.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 20 (c) 24 (d) 18
  32. 32.What is the median of 11, 5, 28, 2 and 3? (a) 3 (b) 5 (c) 11 (d) 28
  33. 33.What is the mean of 6, 19, 19, 4, 11 and 13? (a) 12 (b) 14 (c) 11 (d) 13
  34. 34.What is the mode of 12, 1, 1, 12, 1, 11 and 9? (a) 1 (b) 12 (c) 9 (d) 11
  35. 35.What is the median of 15, 2, 30, 12 and 21? (a) 15 (b) 16 (c) 30 (d) 21
  36. 36.What is the mode of 4, 2, 1, 5, 5, 1 and 1? (a) 5 (b) 2 (c) 4 (d) 1
  37. 37.What is the mean of 16, 5, 6, 18, 19 and 8? (a) 12 (b) 11 (c) 14 (d) 13
  38. 38.What is the mean of 3, 6, 12 and 11? (a) 10 (b) 7 (c) 8 (d) 9
  39. 39.What is the mean of 3, 15, 17, 6, 14 and 17? (a) 14 (b) 12 (c) 11 (d) 13
  40. 40.What is the mode of 19, 19, 19, 1, 16, 2 and 1? (a) 16 (b) 19 (c) 2 (d) 1

Answer key

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

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