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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 421 · 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 median of 3, 19, 6, 31, 29, 13 and 1? (a) 31 (b) 13 (c) 6 (d) 19
  2. 2.What is the median of 6, 20, 24, 1, 37, 32 and 2? (a) 24 (b) 6 (c) 1 (d) 20
  3. 3.The mean of 3 numbers is 29. When the number 25 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 30
  4. 4.What is the mean of 2, 4, 15 and 15? (a) 12 (b) 10 (c) 8 (d) 9
  5. 5.What is the mean of 6, 12, 17, 7 and 18? (a) 15 (b) 10 (c) 12 (d) 13
  6. 6.What is the mean of 9, 2, 7, 3, 6 and 9? (a) 6 (b) 7 (c) 8 (d) 5
  7. 7.What is the mean of 19, 12, 19 and 14? (a) 15 (b) 16 (c) 18 (d) 17
  8. 8.What is the median of 7, 27, 25, 33 and 37? (a) 28 (b) 27 (c) 33 (d) 25
  9. 9.What is the mode of 2, 6, 6, 7, 7, 6 and 4? (a) 4 (b) 2 (c) 7 (d) 6
  10. 10.What is the mode of 16, 1, 5, 5, 1, 1 and 10? (a) 5 (b) 1 (c) 16 (d) 10
  11. 11.The mean of 7 numbers is 20. When the number 52 is added to them, what is the new mean? (a) 24 (b) 25 (c) 20 (d) 36
  12. 12.What is the mean of 2, 8, 12, 11, 16 and 23? (a) 13 (b) 11 (c) 14 (d) 12
  13. 13.What is the mean of 13, 15, 11 and 5? (a) 12 (b) 11 (c) 13 (d) 10
  14. 14.The mean of 9 numbers is 26. When the number 56 is added to them, what is the new mean? (a) 30 (b) 41 (c) 26 (d) 29
  15. 15.What is the median of 31, 5, 35, 7, 8, 22 and 32? (a) 20 (b) 7 (c) 22 (d) 31
  16. 16.What is the mode of 3, 17, 6, 3, 17, 17 and 15? (a) 6 (b) 17 (c) 3 (d) 15
  17. 17.What is the mean of 10, 18, 8 and 20? (a) 13 (b) 16 (c) 15 (d) 14
  18. 18.The mean of 9 numbers is 29. When the number 59 is added to them, what is the new mean? (a) 44 (b) 29 (c) 33 (d) 32
  19. 19.What is the mode of 13, 2, 1, 19, 19, 19 and 2? (a) 2 (b) 19 (c) 13 (d) 1
  20. 20.What is the mode of 4, 8, 6, 6, 10, 4 and 4? (a) 10 (b) 4 (c) 6 (d) 8
  21. 21.The mean of 4 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 24 (b) 29 (c) 34 (d) 28
  22. 22.What is the mean of 16, 15, 15 and 6? (a) 12 (b) 14 (c) 15 (d) 13
  23. 23.What is the mean of 11, 7, 7 and 7? (a) 7 (b) 9 (c) 8 (d) 10
  24. 24.What is the median of 9, 17, 11, 36 and 8? (a) 9 (b) 11 (c) 17 (d) 12
  25. 25.What is the median of 37, 33, 39, 21 and 36? (a) 36 (b) 37 (c) 33 (d) 39
  26. 26.What is the mean of 2, 8, 7 and 19? (a) 10 (b) 8 (c) 9 (d) 12
  27. 27.What is the mode of 17, 4, 19, 19, 2, 17 and 19? (a) 19 (b) 4 (c) 2 (d) 17
  28. 28.What is the mode of 2, 16, 15, 17, 2, 17 and 17? (a) 17 (b) 16 (c) 15 (d) 2
  29. 29.What is the mean of 18, 20, 9, 11 and 22? (a) 16 (b) 17 (c) 20 (d) 15
  30. 30.What is the mean of 13, 2, 16, 9, 5 and 9? (a) 8 (b) 9 (c) 11 (d) 10
  31. 31.What is the mean of 9, 5, 17 and 13? (a) 12 (b) 10 (c) 11 (d) 13
  32. 32.What is the mode of 1, 1, 20, 1, 4, 20 and 8? (a) 8 (b) 20 (c) 4 (d) 1
  33. 33.What is the mean of 20, 5, 9 and 14? (a) 16 (b) 11 (c) 13 (d) 12
  34. 34.The mean of 7 numbers is 31. When the number 15 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 23
  35. 35.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 12 (b) 10 (c) 9 (d) 11
  36. 36.What is the mode of 19, 3, 1, 3, 19, 11 and 19? (a) 3 (b) 19 (c) 11 (d) 1
  37. 37.What is the mode of 18, 7, 16, 14, 14, 18 and 14? (a) 18 (b) 16 (c) 7 (d) 14
  38. 38.What is the mean of 18, 4, 11, 6, 19 and 14? (a) 13 (b) 11 (c) 12 (d) 14
  39. 39.The mean of 6 numbers is 11. When the number 18 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 14
  40. 40.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 33 (b) 28 (c) 30 (d) 31

Answer key

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

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