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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 862 · 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 5 numbers is 36. When the number 42 is added to them, what is the new mean? (a) 36 (b) 39 (c) 38 (d) 37
  2. 2.What is the median of 8, 40, 28, 14 and 2? (a) 14 (b) 8 (c) 15 (d) 28
  3. 3.The mean of 3 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 34 (b) 31 (c) 30 (d) 26
  4. 4.What is the median of 29, 12, 6, 37 and 36? (a) 29 (b) 6 (c) 36 (d) 24
  5. 5.What is the mode of 16, 14, 18, 14, 6, 14 and 16? (a) 14 (b) 6 (c) 18 (d) 16
  6. 6.The mean of 3 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 38 (b) 34 (c) 37 (d) 40
  7. 7.What is the mode of 5, 2, 2, 17, 17, 16 and 2? (a) 2 (b) 16 (c) 17 (d) 5
  8. 8.The mean of 4 numbers is 36. When the number 51 is added to them, what is the new mean? (a) 38 (b) 36 (c) 40 (d) 39
  9. 9.What is the mean of 13, 2, 7 and 14? (a) 10 (b) 9 (c) 8 (d) 12
  10. 10.What is the median of 18, 25, 28, 26, 2, 13 and 22? (a) 22 (b) 25 (c) 18 (d) 26
  11. 11.What is the mean of 8, 12, 13, 9, 18 and 18? (a) 13 (b) 15 (c) 14 (d) 12
  12. 12.What is the median of 35, 4, 25, 19, 3, 36 and 23? (a) 25 (b) 24 (c) 23 (d) 19
  13. 13.What is the mode of 15, 14, 8, 8, 5, 14 and 14? (a) 14 (b) 15 (c) 8 (d) 5
  14. 14.What is the mode of 13, 13, 14, 5, 13, 14 and 10? (a) 13 (b) 14 (c) 10 (d) 5
  15. 15.The mean of 9 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 20 (b) 22 (c) 25 (d) 21
  16. 16.What is the median of 24, 39, 28, 4, 29, 9 and 36? (a) 29 (b) 28 (c) 24 (d) 4
  17. 17.What is the mode of 4, 11, 11, 17, 4, 3 and 4? (a) 3 (b) 11 (c) 4 (d) 17
  18. 18.What is the median of 19, 11, 28, 32 and 23? (a) 23 (b) 28 (c) 24 (d) 19
  19. 19.What is the median of 34, 28, 9, 31, 25, 11 and 6? (a) 31 (b) 25 (c) 11 (d) 28
  20. 20.What is the mean of 12, 3, 15, 8 and 17? (a) 13 (b) 10 (c) 12 (d) 11
  21. 21.The mean of 8 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 15 (b) 21 (c) 14 (d) 12
  22. 22.What is the median of 4, 8, 37, 26 and 7? (a) 7 (b) 8 (c) 26 (d) 37
  23. 23.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 31 (b) 33 (c) 32 (d) 30
  24. 24.What is the mode of 10, 9, 3, 12, 3, 9 and 9? (a) 3 (b) 10 (c) 12 (d) 9
  25. 25.What is the mean of 6, 2, 2, 3, 20 and 9? (a) 7 (b) 9 (c) 6 (d) 8
  26. 26.What is the mean of 6, 10, 4, 18, 13 and 9? (a) 9 (b) 10 (c) 12 (d) 11
  27. 27.What is the mode of 19, 15, 19, 18, 18, 6 and 18? (a) 6 (b) 19 (c) 18 (d) 15
  28. 28.The mean of 6 numbers is 29. When the number 15 is added to them, what is the new mean? (a) 29 (b) 28 (c) 22 (d) 27
  29. 29.What is the mode of 6, 18, 8, 8, 11, 6 and 8? (a) 6 (b) 8 (c) 11 (d) 18
  30. 30.What is the mean of 13, 16, 8, 15 and 13? (a) 15 (b) 14 (c) 13 (d) 12
  31. 31.The mean of 3 numbers is 20. When the number 16 is added to them, what is the new mean? (a) 19 (b) 20 (c) 21 (d) 18
  32. 32.What is the median of 15, 9, 4, 5 and 8? (a) 9 (b) 4 (c) 5 (d) 8
  33. 33.What is the median of 1, 24, 5, 6 and 22? (a) 6 (b) 7 (c) 5 (d) 22
  34. 34.What is the mode of 12, 3, 18, 18, 3, 10 and 18? (a) 18 (b) 12 (c) 10 (d) 3
  35. 35.What is the mean of 4, 17, 12, 20 and 7? (a) 13 (b) 15 (c) 10 (d) 12
  36. 36.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 12 (b) 10 (c) 9 (d) 11
  37. 37.The mean of 5 numbers is 38. When the number 62 is added to them, what is the new mean? (a) 50 (b) 38 (c) 43 (d) 42
  38. 38.What is the mean of 3, 2, 13, 18, 14 and 16? (a) 13 (b) 12 (c) 11 (d) 10
  39. 39.What is the mode of 6, 6, 1, 16, 7, 16 and 16? (a) 7 (b) 1 (c) 6 (d) 16
  40. 40.What is the median of 1, 40, 13, 26 and 9? (a) 9 (b) 13 (c) 26 (d) 14

Answer key

  1. 37
  2. 14
  3. 30
  4. 29
  5. 14
  6. 37
  7. 2
  8. 39
  9. 9
  10. 22
  11. 13
  12. 23
  13. 14
  14. 13
  15. 21
  16. 28
  17. 4
  18. 23
  19. 25
  20. 11
  21. 14
  22. 8
  23. 31
  24. 9
  25. 7
  26. 10
  27. 18
  28. 27
  29. 8
  30. 13
  31. 19
  32. 8
  33. 6
  34. 18
  35. 12
  36. 10
  37. 42
  38. 11
  39. 16
  40. 13

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