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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 131 · 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 7, 6, 14, 1, 6, 14 and 14? (a) 14 (b) 6 (c) 7 (d) 1
  2. 2.What is the mean of 2, 16, 8, 16, 7 and 11? (a) 10 (b) 12 (c) 11 (d) 9
  3. 3.What is the median of 23, 1, 6, 21, 31, 19 and 36? (a) 22 (b) 21 (c) 23 (d) 19
  4. 4.What is the median of 21, 26, 11, 14, 19, 7 and 30? (a) 20 (b) 14 (c) 21 (d) 19
  5. 5.What is the mean of 4, 3, 16, 18 and 24? (a) 13 (b) 12 (c) 14 (d) 15
  6. 6.What is the mean of 15, 3, 5, 7, 2 and 4? (a) 5 (b) 6 (c) 8 (d) 7
  7. 7.The mean of 8 numbers is 14. When the number 5 is added to them, what is the new mean? (a) 13 (b) 14 (c) 15 (d) 12
  8. 8.What is the mode of 7, 7, 13, 7, 5, 6 and 13? (a) 5 (b) 7 (c) 13 (d) 6
  9. 9.What is the median of 20, 36, 29, 11 and 25? (a) 20 (b) 29 (c) 26 (d) 25
  10. 10.The mean of 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 35 (b) 36 (c) 32 (d) 34
  11. 11.What is the median of 35, 9, 31, 30 and 34? (a) 32 (b) 30 (c) 31 (d) 34
  12. 12.What is the mean of 10, 4, 18, 10 and 13? (a) 12 (b) 10 (c) 13 (d) 11
  13. 13.What is the mode of 6, 6, 4, 18, 3, 18 and 18? (a) 6 (b) 3 (c) 4 (d) 18
  14. 14.What is the mode of 11, 6, 19, 7, 6, 7 and 7? (a) 6 (b) 11 (c) 19 (d) 7
  15. 15.The mean of 8 numbers is 31. When the number 40 is added to them, what is the new mean? (a) 34 (b) 33 (c) 31 (d) 32
  16. 16.What is the mode of 3, 2, 3, 2, 2, 19 and 6? (a) 19 (b) 2 (c) 6 (d) 3
  17. 17.What is the median of 20, 6, 4, 15, 40, 9 and 26? (a) 15 (b) 9 (c) 20 (d) 16
  18. 18.What is the mode of 13, 5, 19, 2, 19, 2 and 19? (a) 5 (b) 19 (c) 13 (d) 2
  19. 19.The mean of 8 numbers is 11. When the number 2 is added to them, what is the new mean? (a) 11 (b) 10 (c) 9 (d) 12
  20. 20.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 18 (b) 23 (c) 34 (d) 22
  21. 21.What is the median of 9, 2, 33, 11 and 26? (a) 11 (b) 9 (c) 26 (d) 33
  22. 22.What is the mode of 12, 8, 12, 8, 9, 4 and 12? (a) 9 (b) 8 (c) 4 (d) 12
  23. 23.What is the mode of 5, 9, 8, 20, 9, 20 and 20? (a) 8 (b) 5 (c) 20 (d) 9
  24. 24.The mean of 5 numbers is 15. When the number 9 is added to them, what is the new mean? (a) 14 (b) 12 (c) 15 (d) 13
  25. 25.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 27 (b) 31 (c) 30 (d) 32
  26. 26.What is the mode of 13, 6, 6, 6, 19, 13 and 12? (a) 13 (b) 19 (c) 12 (d) 6
  27. 27.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 13 (b) 16 (c) 19 (d) 15
  28. 28.The mean of 8 numbers is 29. When the number 47 is added to them, what is the new mean? (a) 31 (b) 38 (c) 29 (d) 32
  29. 29.What is the median of 10, 25, 2, 13 and 16? (a) 2 (b) 13 (c) 16 (d) 10
  30. 30.What is the median of 12, 10, 11, 4, 36, 13 and 16? (a) 13 (b) 11 (c) 12 (d) 4
  31. 31.The mean of 3 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 26 (b) 29 (c) 23 (d) 27
  32. 32.What is the median of 40, 32, 25, 9, 16, 19 and 17? (a) 19 (b) 9 (c) 25 (d) 17
  33. 33.What is the mode of 1, 1, 11, 11, 1, 7 and 4? (a) 11 (b) 4 (c) 1 (d) 7
  34. 34.What is the median of 27, 38, 2, 20 and 26? (a) 2 (b) 27 (c) 26 (d) 20
  35. 35.What is the median of 28, 14, 8, 4 and 1? (a) 14 (b) 4 (c) 11 (d) 8
  36. 36.What is the median of 11, 12, 22, 15, 19, 28 and 37? (a) 20 (b) 19 (c) 15 (d) 22
  37. 37.What is the median of 15, 40, 34, 6 and 24? (a) 24 (b) 25 (c) 34 (d) 15
  38. 38.The mean of 4 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 34 (b) 29 (c) 33 (d) 32
  39. 39.What is the median of 4, 39, 32, 8 and 28? (a) 29 (b) 8 (c) 32 (d) 28
  40. 40.The mean of 9 numbers is 34. When the number 44 is added to them, what is the new mean? (a) 36 (b) 39 (c) 34 (d) 35

Answer key

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

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