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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 727 · 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 20, 13, 18 and 9? (a) 20 (b) 12 (c) 16 (d) 15
  2. 2.What is the mode of 12, 1, 2, 12, 9, 2 and 2? (a) 9 (b) 12 (c) 2 (d) 1
  3. 3.What is the median of 30, 3, 20, 33 and 29? (a) 20 (b) 23 (c) 30 (d) 29
  4. 4.What is the mode of 8, 17, 17, 16, 16, 17 and 18? (a) 8 (b) 17 (c) 18 (d) 16
  5. 5.The mean of 5 numbers is 24. When the number 18 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 24
  6. 6.The mean of 6 numbers is 34. When the number 13 is added to them, what is the new mean? (a) 30 (b) 32 (c) 34 (d) 31
  7. 7.The mean of 9 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 37 (b) 36 (c) 28 (d) 38
  8. 8.What is the mean of 5, 7, 16 and 16? (a) 10 (b) 13 (c) 12 (d) 11
  9. 9.What is the mean of 4, 4, 4, 17 and 6? (a) 6 (b) 8 (c) 7 (d) 9
  10. 10.The mean of 3 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 30 (b) 32 (c) 34 (d) 33
  11. 11.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 19 (b) 17 (c) 20 (d) 18
  12. 12.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 25 (b) 28 (c) 27 (d) 26
  13. 13.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 19
  14. 14.What is the mode of 13, 20, 20, 5, 20, 15 and 5? (a) 5 (b) 20 (c) 15 (d) 13
  15. 15.What is the median of 32, 5, 21, 10, 19, 28 and 8? (a) 20 (b) 19 (c) 21 (d) 10
  16. 16.What is the median of 11, 36, 16, 29, 6, 10 and 35? (a) 16 (b) 11 (c) 29 (d) 17
  17. 17.What is the mean of 6, 10, 16 and 8? (a) 8 (b) 11 (c) 9 (d) 10
  18. 18.The mean of 8 numbers is 21. When the number 39 is added to them, what is the new mean? (a) 30 (b) 24 (c) 21 (d) 23
  19. 19.What is the mean of 6, 16, 15, 14, 4 and 23? (a) 14 (b) 12 (c) 13 (d) 15
  20. 20.What is the mode of 6, 19, 6, 2, 7, 7 and 7? (a) 19 (b) 2 (c) 7 (d) 6
  21. 21.What is the mean of 4, 7, 19 and 6? (a) 8 (b) 9 (c) 12 (d) 10
  22. 22.What is the mean of 9, 15, 4, 20, 3 and 21? (a) 11 (b) 13 (c) 12 (d) 14
  23. 23.What is the median of 37, 16, 9, 13, 38, 19 and 5? (a) 13 (b) 16 (c) 17 (d) 19
  24. 24.What is the mode of 4, 20, 4, 19, 17, 19 and 19? (a) 19 (b) 20 (c) 17 (d) 4
  25. 25.What is the mode of 8, 14, 1, 1, 1, 14 and 16? (a) 14 (b) 8 (c) 16 (d) 1
  26. 26.What is the mode of 2, 15, 6, 6, 15, 13 and 15? (a) 6 (b) 13 (c) 15 (d) 2
  27. 27.What is the mean of 20, 4, 13, 16 and 17? (a) 15 (b) 14 (c) 16 (d) 13
  28. 28.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 22
  29. 29.The mean of 7 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 10 (b) 9 (c) 11 (d) 7
  30. 30.What is the median of 36, 23, 38, 11, 21, 28 and 10? (a) 11 (b) 23 (c) 21 (d) 28
  31. 31.What is the mean of 3, 5, 9, 4, 20 and 25? (a) 11 (b) 10 (c) 13 (d) 12
  32. 32.The mean of 3 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 24 (b) 30 (c) 27 (d) 28
  33. 33.What is the mean of 6, 20, 17 and 17? (a) 12 (b) 15 (c) 20 (d) 16
  34. 34.What is the median of 13, 19, 7, 35 and 1? (a) 19 (b) 15 (c) 13 (d) 7
  35. 35.What is the median of 31, 4, 35, 33 and 3? (a) 35 (b) 4 (c) 31 (d) 33
  36. 36.What is the mode of 7, 5, 14, 14, 14, 2 and 7? (a) 5 (b) 7 (c) 14 (d) 2
  37. 37.What is the mode of 18, 4, 17, 19, 17, 18 and 17? (a) 17 (b) 4 (c) 18 (d) 19
  38. 38.What is the mode of 4, 1, 13, 6, 13, 13 and 4? (a) 1 (b) 13 (c) 6 (d) 4
  39. 39.The mean of 8 numbers is 37. When the number 1 is added to them, what is the new mean? (a) 34 (b) 33 (c) 37 (d) 19
  40. 40.What is the median of 39, 36, 11, 7 and 1? (a) 7 (b) 36 (c) 11 (d) 12

Answer key

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

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