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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 661 · 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 mode of 17, 2, 17, 18, 18, 17 and 5? (a) 5 (b) 2 (c) 18 (d) 17
  2. 2.What is the median of 26, 4, 7, 11, 36, 35 and 12? (a) 13 (b) 26 (c) 12 (d) 11
  3. 3.What is the median of 1, 28, 29, 14, 9, 19 and 24? (a) 24 (b) 14 (c) 19 (d) 20
  4. 4.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 22 (b) 18 (c) 19 (d) 20
  5. 5.The mean of 6 numbers is 38. When the number 59 is added to them, what is the new mean? (a) 41 (b) 42 (c) 40 (d) 38
  6. 6.What is the mean of 15, 20, 15 and 10? (a) 15 (b) 12 (c) 16 (d) 20
  7. 7.What is the median of 25, 23, 30, 40, 36, 1 and 24? (a) 30 (b) 40 (c) 25 (d) 24
  8. 8.The mean of 7 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 23 (b) 27 (c) 26 (d) 35
  9. 9.The mean of 6 numbers is 36. When the number 15 is added to them, what is the new mean? (a) 34 (b) 33 (c) 36 (d) 32
  10. 10.What is the median of 25, 9, 24, 22 and 27? (a) 22 (b) 23 (c) 25 (d) 24
  11. 11.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 25 (b) 21 (c) 22 (d) 15
  12. 12.What is the mean of 20, 5, 14, 15 and 6? (a) 13 (b) 10 (c) 12 (d) 15
  13. 13.What is the mode of 7, 5, 5, 12, 12, 3 and 12? (a) 12 (b) 3 (c) 7 (d) 5
  14. 14.What is the mode of 16, 3, 7, 3, 8, 16 and 3? (a) 8 (b) 3 (c) 16 (d) 7
  15. 15.What is the median of 1, 27, 3, 34 and 26? (a) 27 (b) 25 (c) 26 (d) 3
  16. 16.What is the mean of 4, 20, 2, 13 and 11? (a) 11 (b) 12 (c) 10 (d) 9
  17. 17.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 11 (b) 14 (c) 12 (d) 13
  18. 18.What is the mean of 8, 13, 6 and 9? (a) 12 (b) 9 (c) 10 (d) 8
  19. 19.What is the mode of 12, 10, 13, 10, 12, 15 and 10? (a) 13 (b) 10 (c) 12 (d) 15
  20. 20.What is the mode of 15, 19, 20, 2, 15, 19 and 19? (a) 19 (b) 15 (c) 2 (d) 20
  21. 21.What is the mode of 20, 18, 7, 8, 8, 20 and 8? (a) 20 (b) 7 (c) 8 (d) 18
  22. 22.The mean of 3 numbers is 14. When the number 10 is added to them, what is the new mean? (a) 15 (b) 13 (c) 14 (d) 12
  23. 23.What is the mean of 9, 18, 14, 8, 6 and 11? (a) 10 (b) 11 (c) 13 (d) 12
  24. 24.The mean of 9 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 40 (b) 43 (c) 38 (d) 39
  25. 25.What is the mode of 17, 8, 14, 6, 14, 8 and 14? (a) 17 (b) 6 (c) 8 (d) 14
  26. 26.The mean of 4 numbers is 28. When the number 8 is added to them, what is the new mean? (a) 24 (b) 25 (c) 28 (d) 18
  27. 27.What is the mode of 6, 6, 13, 1, 6, 9 and 13? (a) 1 (b) 13 (c) 6 (d) 9
  28. 28.What is the mean of 11, 13, 3, 12 and 21? (a) 12 (b) 10 (c) 13 (d) 15
  29. 29.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 36 (b) 33 (c) 34 (d) 35
  30. 30.The mean of 8 numbers is 38. When the number 2 is added to them, what is the new mean? (a) 35 (b) 20 (c) 38 (d) 34
  31. 31.The mean of 5 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 26 (b) 25 (c) 27 (d) 21
  32. 32.What is the median of 7, 13, 38, 14 and 2? (a) 14 (b) 13 (c) 38 (d) 7
  33. 33.The mean of 5 numbers is 36. When the number 30 is added to them, what is the new mean? (a) 35 (b) 33 (c) 36 (d) 34
  34. 34.What is the mode of 18, 17, 18, 9, 17, 10 and 18? (a) 17 (b) 10 (c) 9 (d) 18
  35. 35.What is the mode of 5, 12, 16, 16, 10, 5 and 5? (a) 5 (b) 10 (c) 12 (d) 16
  36. 36.What is the mode of 19, 14, 19, 19, 18, 11 and 18? (a) 14 (b) 11 (c) 19 (d) 18
  37. 37.What is the median of 31, 10, 36, 27, 6, 40 and 19? (a) 28 (b) 19 (c) 31 (d) 27
  38. 38.What is the median of 12, 3, 5, 1 and 2? (a) 5 (b) 4 (c) 3 (d) 2
  39. 39.What is the mean of 16, 13, 14, 3, 14 and 12? (a) 14 (b) 12 (c) 13 (d) 11
  40. 40.What is the mean of 6, 18, 12 and 4? (a) 8 (b) 9 (c) 11 (d) 10

Answer key

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

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