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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 342 · 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 15, 11, 11 and 11? (a) 11 (b) 13 (c) 12 (d) 16
  2. 2.What is the mean of 10, 17, 19 and 10? (a) 16 (b) 14 (c) 15 (d) 13
  3. 3.What is the mean of 9, 4, 20, 17, 19 and 9? (a) 13 (b) 15 (c) 12 (d) 14
  4. 4.What is the median of 21, 14, 23, 35, 32, 8 and 5? (a) 14 (b) 35 (c) 21 (d) 23
  5. 5.The mean of 7 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 25 (b) 23 (c) 27 (d) 26
  6. 6.What is the mean of 12, 8, 7, 18 and 10? (a) 11 (b) 13 (c) 12 (d) 10
  7. 7.The mean of 4 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 40 (b) 43 (c) 42 (d) 45
  8. 8.What is the median of 26, 7, 9, 5, 25, 10 and 17? (a) 5 (b) 10 (c) 17 (d) 9
  9. 9.The mean of 5 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 23 (b) 16 (c) 25 (d) 22
  10. 10.The mean of 3 numbers is 20. When the number 32 is added to them, what is the new mean? (a) 26 (b) 20 (c) 23 (d) 24
  11. 11.What is the median of 36, 1, 28, 10 and 17? (a) 17 (b) 28 (c) 18 (d) 10
  12. 12.The mean of 3 numbers is 26. When the number 30 is added to them, what is the new mean? (a) 29 (b) 26 (c) 27 (d) 28
  13. 13.What is the median of 2, 8, 11, 14, 15, 12 and 1? (a) 12 (b) 9 (c) 14 (d) 11
  14. 14.What is the mode of 3, 17, 2, 8, 3, 3 and 17? (a) 2 (b) 17 (c) 8 (d) 3
  15. 15.What is the mean of 20, 7, 5, 4 and 14? (a) 11 (b) 9 (c) 10 (d) 12
  16. 16.What is the median of 6, 21, 30, 33, 37, 9 and 36? (a) 33 (b) 21 (c) 31 (d) 30
  17. 17.What is the median of 2, 17, 36, 8 and 31? (a) 17 (b) 31 (c) 36 (d) 8
  18. 18.What is the mean of 11, 18, 9, 16 and 6? (a) 15 (b) 13 (c) 10 (d) 12
  19. 19.The mean of 7 numbers is 30. When the number 46 is added to them, what is the new mean? (a) 30 (b) 38 (c) 33 (d) 32
  20. 20.What is the mean of 12, 4, 19 and 5? (a) 11 (b) 8 (c) 9 (d) 10
  21. 21.What is the mean of 14, 7, 4, 10, 6 and 13? (a) 9 (b) 10 (c) 11 (d) 8
  22. 22.What is the mean of 14, 6, 8, 8, 18 and 12? (a) 10 (b) 13 (c) 12 (d) 11
  23. 23.What is the mode of 13, 17, 6, 6, 6, 3 and 3? (a) 17 (b) 6 (c) 13 (d) 3
  24. 24.The mean of 7 numbers is 26. When the number 58 is added to them, what is the new mean? (a) 30 (b) 42 (c) 26 (d) 31
  25. 25.What is the mean of 8, 16, 15 and 5? (a) 10 (b) 13 (c) 11 (d) 12
  26. 26.What is the mode of 15, 2, 15, 5, 8, 5 and 15? (a) 2 (b) 15 (c) 8 (d) 5
  27. 27.What is the mean of 20, 13, 7, 20, 9 and 9? (a) 14 (b) 12 (c) 13 (d) 15
  28. 28.The mean of 6 numbers is 27. When the number 34 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 30
  29. 29.What is the mean of 4, 6, 14 and 16? (a) 9 (b) 11 (c) 10 (d) 8
  30. 30.The mean of 7 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 11 (b) 9 (c) 13 (d) 12
  31. 31.The mean of 5 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 31 (b) 28 (c) 34 (d) 30
  32. 32.What is the mean of 6, 3, 14, 19 and 13? (a) 10 (b) 12 (c) 11 (d) 13
  33. 33.What is the mode of 20, 17, 17, 4, 12, 4 and 4? (a) 17 (b) 20 (c) 4 (d) 12
  34. 34.What is the mode of 20, 20, 6, 2, 7, 2 and 2? (a) 20 (b) 7 (c) 6 (d) 2
  35. 35.What is the median of 37, 13, 29, 21, 20, 16 and 24? (a) 20 (b) 24 (c) 22 (d) 21
  36. 36.The mean of 8 numbers is 16. When the number 34 is added to them, what is the new mean? (a) 19 (b) 25 (c) 18 (d) 16
  37. 37.What is the mode of 6, 3, 16, 5, 6, 6 and 16? (a) 16 (b) 6 (c) 5 (d) 3
  38. 38.What is the mean of 6, 5, 11, 7, 20 and 11? (a) 12 (b) 9 (c) 11 (d) 10
  39. 39.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
  40. 40.The mean of 8 numbers is 12. When the number 48 is added to them, what is the new mean? (a) 30 (b) 17 (c) 12 (d) 16

Answer key

  1. 12
  2. 14
  3. 13
  4. 21
  5. 26
  6. 11
  7. 42
  8. 10
  9. 22
  10. 23
  11. 17
  12. 27
  13. 11
  14. 3
  15. 10
  16. 30
  17. 17
  18. 12
  19. 32
  20. 10
  21. 9
  22. 11
  23. 6
  24. 30
  25. 11
  26. 15
  27. 13
  28. 28
  29. 10
  30. 12
  31. 30
  32. 11
  33. 4
  34. 2
  35. 21
  36. 18
  37. 6
  38. 10
  39. 11
  40. 16

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