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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 759 · 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 mode of 8, 8, 13, 16, 9, 16 and 16? (a) 13 (b) 9 (c) 16 (d) 8
  2. 2.What is the mean of 15, 20, 7 and 22? (a) 17 (b) 15 (c) 16 (d) 18
  3. 3.What is the mode of 4, 20, 2, 19, 2, 19 and 2? (a) 2 (b) 19 (c) 20 (d) 4
  4. 4.What is the mode of 2, 12, 18, 18, 13, 18 and 2? (a) 13 (b) 12 (c) 18 (d) 2
  5. 5.What is the median of 12, 4, 5, 38, 20, 25 and 9? (a) 38 (b) 20 (c) 12 (d) 9
  6. 6.The mean of 7 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 20 (b) 18 (c) 21 (d) 22
  7. 7.What is the mean of 20, 5, 5 and 2? (a) 9 (b) 7 (c) 10 (d) 8
  8. 8.What is the mean of 17, 9, 12 and 10? (a) 12 (b) 16 (c) 11 (d) 13
  9. 9.What is the mode of 1, 2, 14, 18, 1, 1 and 14? (a) 14 (b) 2 (c) 1 (d) 18
  10. 10.What is the mode of 11, 12, 12, 8, 12, 18 and 8? (a) 11 (b) 18 (c) 12 (d) 8
  11. 11.What is the median of 37, 10, 22, 40, 38, 35 and 36? (a) 40 (b) 35 (c) 36 (d) 37
  12. 12.The mean of 7 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 23
  13. 13.What is the median of 16, 25, 20, 10 and 34? (a) 25 (b) 20 (c) 16 (d) 21
  14. 14.What is the mean of 14, 3, 7 and 8? (a) 10 (b) 8 (c) 9 (d) 7
  15. 15.The mean of 7 numbers is 19. When the number 51 is added to them, what is the new mean? (a) 35 (b) 24 (c) 19 (d) 23
  16. 16.What is the median of 39, 28, 24, 12, 22, 10 and 18? (a) 12 (b) 24 (c) 18 (d) 22
  17. 17.What is the mean of 13, 12, 2 and 9? (a) 12 (b) 9 (c) 10 (d) 8
  18. 18.What is the median of 19, 10, 24, 12 and 14? (a) 14 (b) 24 (c) 12 (d) 19
  19. 19.What is the mean of 6, 2, 20 and 20? (a) 12 (b) 13 (c) 11 (d) 16
  20. 20.What is the mode of 9, 5, 17, 5, 9, 5 and 7? (a) 17 (b) 5 (c) 7 (d) 9
  21. 21.What is the mode of 19, 5, 5, 1, 15, 5 and 1? (a) 19 (b) 15 (c) 1 (d) 5
  22. 22.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 15 (b) 22 (c) 21 (d) 25
  23. 23.What is the mode of 8, 19, 1, 6, 6, 1 and 1? (a) 19 (b) 6 (c) 8 (d) 1
  24. 24.What is the mode of 5, 3, 5, 14, 14, 9 and 14? (a) 5 (b) 14 (c) 3 (d) 9
  25. 25.What is the median of 23, 37, 21, 36 and 12? (a) 36 (b) 21 (c) 24 (d) 23
  26. 26.The mean of 9 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 21 (b) 11 (c) 13 (d) 14
  27. 27.The mean of 9 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 19 (b) 14 (c) 15 (d) 16
  28. 28.What is the mean of 18, 14, 8, 4, 15 and 7? (a) 11 (b) 13 (c) 10 (d) 12
  29. 29.The mean of 3 numbers is 15. When the number 27 is added to them, what is the new mean? (a) 19 (b) 21 (c) 18 (d) 15
  30. 30.What is the mean of 15, 20, 13 and 12? (a) 12 (b) 20 (c) 16 (d) 15
  31. 31.What is the mode of 15, 17, 13, 20, 15, 20 and 15? (a) 17 (b) 13 (c) 15 (d) 20
  32. 32.The mean of 3 numbers is 30. When the number 26 is added to them, what is the new mean? (a) 28 (b) 30 (c) 29 (d) 31
  33. 33.What is the mode of 14, 2, 15, 14, 14, 19 and 15? (a) 2 (b) 19 (c) 14 (d) 15
  34. 34.The mean of 3 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 26 (b) 28 (c) 30 (d) 29
  35. 35.What is the median of 22, 34, 15, 29 and 37? (a) 15 (b) 34 (c) 29 (d) 22
  36. 36.The mean of 6 numbers is 27. When the number 41 is added to them, what is the new mean? (a) 34 (b) 29 (c) 27 (d) 30
  37. 37.The mean of 9 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 34 (b) 36 (c) 37 (d) 44
  38. 38.The mean of 8 numbers is 11. When the number 2 is added to them, what is the new mean? (a) 11 (b) 12 (c) 9 (d) 10
  39. 39.What is the median of 16, 18, 14, 39, 6, 24 and 23? (a) 18 (b) 39 (c) 20 (d) 23
  40. 40.What is the mean of 4, 5, 4, 11 and 16? (a) 10 (b) 9 (c) 7 (d) 8

Answer key

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

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