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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 216 · 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 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 20 (b) 17 (c) 19 (d) 22
  2. 2.The mean of 8 numbers is 15. When the number 42 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 15
  3. 3.What is the mean of 15, 5, 5, 9, 8 and 12? (a) 10 (b) 8 (c) 11 (d) 9
  4. 4.What is the median of 22, 2, 23, 15, 26, 35 and 13? (a) 22 (b) 21 (c) 15 (d) 23
  5. 5.What is the mean of 9, 11, 6, 3 and 16? (a) 8 (b) 11 (c) 10 (d) 9
  6. 6.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 18 (b) 15 (c) 14 (d) 16
  7. 7.What is the mode of 4, 2, 4, 4, 3, 10 and 10? (a) 4 (b) 3 (c) 10 (d) 2
  8. 8.What is the mean of 4, 2, 4 and 22? (a) 9 (b) 7 (c) 10 (d) 8
  9. 9.What is the median of 23, 36, 13, 3 and 31? (a) 23 (b) 31 (c) 13 (d) 24
  10. 10.What is the mean of 13, 20, 14, 7, 6 and 6? (a) 10 (b) 12 (c) 11 (d) 13
  11. 11.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 14 (b) 24 (c) 18 (d) 19
  12. 12.What is the mean of 17, 15, 6, 13, 2 and 13? (a) 11 (b) 12 (c) 10 (d) 13
  13. 13.The mean of 5 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 12 (b) 17 (c) 16 (d) 24
  14. 14.What is the mode of 10, 7, 9, 10, 9, 9 and 4? (a) 7 (b) 4 (c) 9 (d) 10
  15. 15.The mean of 3 numbers is 15. When the number 19 is added to them, what is the new mean? (a) 15 (b) 18 (c) 17 (d) 16
  16. 16.What is the mean of 13, 20, 11 and 16? (a) 12 (b) 16 (c) 20 (d) 15
  17. 17.The mean of 8 numbers is 37. When the number 46 is added to them, what is the new mean? (a) 40 (b) 39 (c) 38 (d) 37
  18. 18.What is the median of 35, 34, 4, 30 and 2? (a) 21 (b) 4 (c) 34 (d) 30
  19. 19.The mean of 5 numbers is 29. When the number 35 is added to them, what is the new mean? (a) 30 (b) 29 (c) 31 (d) 32
  20. 20.The mean of 6 numbers is 35. When the number 21 is added to them, what is the new mean? (a) 35 (b) 34 (c) 28 (d) 33
  21. 21.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 38 (b) 39 (c) 36 (d) 37
  22. 22.What is the mean of 14, 8, 6 and 8? (a) 12 (b) 8 (c) 10 (d) 9
  23. 23.What is the mode of 3, 3, 2, 17, 17, 17 and 6? (a) 6 (b) 17 (c) 2 (d) 3
  24. 24.What is the mean of 5, 7, 3 and 17? (a) 9 (b) 8 (c) 7 (d) 10
  25. 25.What is the median of 16, 19, 17, 13, 6, 2 and 36? (a) 17 (b) 15 (c) 13 (d) 16
  26. 26.The mean of 9 numbers is 27. When the number 57 is added to them, what is the new mean? (a) 30 (b) 31 (c) 42 (d) 27
  27. 27.What is the mode of 6, 13, 20, 20, 20, 6 and 2? (a) 13 (b) 20 (c) 6 (d) 2
  28. 28.The mean of 3 numbers is 32. When the number 36 is added to them, what is the new mean? (a) 33 (b) 32 (c) 34 (d) 35
  29. 29.The mean of 7 numbers is 27. When the number 59 is added to them, what is the new mean? (a) 27 (b) 32 (c) 31 (d) 43
  30. 30.The mean of 5 numbers is 32. When the number 26 is added to them, what is the new mean? (a) 31 (b) 32 (c) 29 (d) 30
  31. 31.What is the mean of 15, 8, 6, 10 and 6? (a) 8 (b) 10 (c) 9 (d) 11
  32. 32.What is the mode of 12, 20, 20, 20, 4, 12 and 17? (a) 17 (b) 20 (c) 4 (d) 12
  33. 33.The mean of 3 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 28 (b) 30 (c) 27 (d) 24
  34. 34.What is the mean of 3, 10, 16, 13 and 18? (a) 13 (b) 15 (c) 10 (d) 12
  35. 35.What is the mean of 7, 8, 17, 15 and 8? (a) 11 (b) 12 (c) 10 (d) 13
  36. 36.What is the mode of 1, 14, 9, 3, 9, 3 and 3? (a) 9 (b) 14 (c) 3 (d) 1
  37. 37.What is the median of 37, 12, 26, 22, 38, 36 and 1? (a) 36 (b) 22 (c) 27 (d) 26
  38. 38.What is the mean of 7, 12, 4, 5 and 22? (a) 9 (b) 11 (c) 10 (d) 12
  39. 39.The mean of 5 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 22 (b) 29 (c) 28 (d) 31
  40. 40.What is the median of 31, 7, 12, 22, 21, 32 and 2? (a) 20 (b) 21 (c) 22 (d) 12

Answer key

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

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