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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 511 · 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 6 numbers is 18. When the number 4 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 11
  2. 2.What is the median of 35, 24, 16, 22 and 1? (a) 16 (b) 23 (c) 22 (d) 24
  3. 3.What is the mode of 8, 5, 10, 10, 10, 18 and 5? (a) 10 (b) 18 (c) 5 (d) 8
  4. 4.What is the mode of 20, 5, 17, 5, 18, 17 and 5? (a) 17 (b) 5 (c) 18 (d) 20
  5. 5.What is the mean of 11, 13, 4, 10 and 7? (a) 11 (b) 8 (c) 10 (d) 9
  6. 6.What is the median of 7, 20, 5, 39 and 4? (a) 5 (b) 15 (c) 7 (d) 20
  7. 7.What is the median of 40, 8, 25, 38, 33, 5 and 20? (a) 20 (b) 38 (c) 33 (d) 25
  8. 8.What is the median of 31, 3, 26, 1, 33, 40 and 39? (a) 26 (b) 33 (c) 31 (d) 1
  9. 9.What is the mean of 18, 17, 6, 3, 7 and 3? (a) 11 (b) 10 (c) 9 (d) 8
  10. 10.What is the mean of 2, 9, 7, 9 and 18? (a) 9 (b) 8 (c) 10 (d) 11
  11. 11.What is the median of 5, 18, 22, 13, 7, 11 and 23? (a) 11 (b) 14 (c) 18 (d) 13
  12. 12.What is the median of 39, 22, 16, 1 and 34? (a) 22 (b) 34 (c) 16 (d) 23
  13. 13.The mean of 5 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 25 (b) 26 (c) 22 (d) 31
  14. 14.What is the mean of 10, 8, 15, 20 and 12? (a) 15 (b) 13 (c) 14 (d) 12
  15. 15.What is the mean of 12, 4, 2, 11 and 6? (a) 7 (b) 8 (c) 6 (d) 9
  16. 16.What is the mode of 19, 11, 19, 3, 13, 13 and 19? (a) 3 (b) 13 (c) 11 (d) 19
  17. 17.What is the median of 33, 10, 5, 14 and 17? (a) 17 (b) 14 (c) 10 (d) 5
  18. 18.What is the mode of 13, 2, 12, 13, 7, 12 and 13? (a) 7 (b) 12 (c) 2 (d) 13
  19. 19.What is the mean of 2, 19, 10, 7 and 22? (a) 15 (b) 10 (c) 13 (d) 12
  20. 20.What is the median of 37, 22, 18, 35 and 8? (a) 24 (b) 35 (c) 18 (d) 22
  21. 21.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 29 (b) 26 (c) 25 (d) 21
  22. 22.The mean of 3 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 35 (b) 33 (c) 31 (d) 34
  23. 23.What is the mean of 2, 16, 7 and 11? (a) 8 (b) 9 (c) 10 (d) 12
  24. 24.What is the mode of 7, 6, 4, 6, 7, 14 and 6? (a) 14 (b) 6 (c) 4 (d) 7
  25. 25.What is the mode of 6, 20, 12, 4, 6, 4 and 4? (a) 4 (b) 20 (c) 6 (d) 12
  26. 26.What is the mean of 18, 9, 17, 4 and 7? (a) 12 (b) 10 (c) 11 (d) 13
  27. 27.What is the mode of 18, 18, 4, 4, 18, 3 and 9? (a) 4 (b) 3 (c) 9 (d) 18
  28. 28.What is the median of 34, 4, 20, 5 and 11? (a) 20 (b) 12 (c) 5 (d) 11
  29. 29.The mean of 7 numbers is 22. When the number 54 is added to them, what is the new mean? (a) 26 (b) 22 (c) 38 (d) 27
  30. 30.What is the mean of 18, 6, 8, 14 and 9? (a) 10 (b) 13 (c) 12 (d) 11
  31. 31.What is the mode of 1, 9, 20, 1, 1, 11 and 9? (a) 11 (b) 20 (c) 9 (d) 1
  32. 32.What is the mode of 4, 4, 9, 13, 4, 9 and 5? (a) 5 (b) 9 (c) 4 (d) 13
  33. 33.What is the median of 8, 28, 4, 20 and 1? (a) 8 (b) 9 (c) 4 (d) 20
  34. 34.What is the mode of 2, 7, 2, 1, 2, 16 and 7? (a) 7 (b) 16 (c) 2 (d) 1
  35. 35.What is the mode of 17, 14, 14, 17, 9, 17 and 3? (a) 14 (b) 3 (c) 9 (d) 17
  36. 36.What is the median of 7, 32, 36, 28, 15, 39 and 21? (a) 21 (b) 29 (c) 28 (d) 32
  37. 37.What is the mean of 13, 7, 13, 8 and 9? (a) 10 (b) 11 (c) 12 (d) 9
  38. 38.What is the mode of 2, 7, 7, 7, 2, 17 and 14? (a) 2 (b) 7 (c) 17 (d) 14
  39. 39.What is the mean of 17, 20, 10 and 9? (a) 13 (b) 14 (c) 16 (d) 15
  40. 40.What is the mean of 11, 16, 3 and 14? (a) 10 (b) 11 (c) 13 (d) 12

Answer key

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

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