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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 124 · 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 21, 11, 4, 9 and 26? (a) 4 (b) 21 (c) 9 (d) 11
  2. 2.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 24
  3. 3.What is the mean of 8, 12, 18 and 18? (a) 15 (b) 14 (c) 13 (d) 16
  4. 4.What is the mode of 12, 5, 12, 18, 1, 18 and 12? (a) 18 (b) 12 (c) 5 (d) 1
  5. 5.What is the median of 27, 2, 8, 28 and 9? (a) 8 (b) 9 (c) 27 (d) 10
  6. 6.What is the mean of 7, 13, 17, 11, 3 and 21? (a) 14 (b) 12 (c) 11 (d) 13
  7. 7.The mean of 6 numbers is 11. When the number 32 is added to them, what is the new mean? (a) 15 (b) 13 (c) 11 (d) 14
  8. 8.What is the median of 27, 38, 7, 34, 6, 9 and 2? (a) 34 (b) 27 (c) 9 (d) 7
  9. 9.What is the mode of 10, 18, 10, 13, 15, 15 and 15? (a) 18 (b) 10 (c) 13 (d) 15
  10. 10.What is the median of 32, 1, 9, 24 and 40? (a) 24 (b) 32 (c) 25 (d) 9
  11. 11.What is the mean of 2, 16, 16 and 14? (a) 13 (b) 12 (c) 16 (d) 11
  12. 12.What is the mode of 18, 2, 18, 7, 13, 18 and 7? (a) 2 (b) 13 (c) 18 (d) 7
  13. 13.What is the mean of 11, 7, 4 and 18? (a) 11 (b) 8 (c) 10 (d) 9
  14. 14.What is the median of 39, 10, 36, 16 and 40? (a) 36 (b) 16 (c) 39 (d) 37
  15. 15.The mean of 3 numbers is 28. When the number 16 is added to them, what is the new mean? (a) 25 (b) 22 (c) 26 (d) 28
  16. 16.What is the mode of 10, 5, 12, 10, 9, 12 and 12? (a) 5 (b) 10 (c) 9 (d) 12
  17. 17.What is the median of 33, 29, 13, 32 and 21? (a) 29 (b) 13 (c) 21 (d) 32
  18. 18.What is the median of 19, 22, 5, 24 and 12? (a) 22 (b) 12 (c) 5 (d) 19
  19. 19.The mean of 7 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 18 (b) 20 (c) 22 (d) 21
  20. 20.The mean of 3 numbers is 31. When the number 47 is added to them, what is the new mean? (a) 39 (b) 36 (c) 31 (d) 35
  21. 21.The mean of 9 numbers is 38. When the number 68 is added to them, what is the new mean? (a) 41 (b) 53 (c) 42 (d) 38
  22. 22.What is the mode of 11, 1, 1, 10, 17, 1 and 17? (a) 17 (b) 10 (c) 1 (d) 11
  23. 23.What is the mode of 7, 18, 7, 7, 17, 6 and 17? (a) 7 (b) 18 (c) 17 (d) 6
  24. 24.What is the mode of 16, 11, 20, 11, 14, 16 and 11? (a) 11 (b) 20 (c) 16 (d) 14
  25. 25.What is the median of 24, 1, 33, 39 and 31? (a) 31 (b) 32 (c) 33 (d) 24
  26. 26.What is the mean of 12, 15, 6, 11, 2 and 14? (a) 9 (b) 11 (c) 10 (d) 12
  27. 27.The mean of 4 numbers is 21. When the number 31 is added to them, what is the new mean? (a) 26 (b) 21 (c) 23 (d) 24
  28. 28.What is the mode of 18, 14, 7, 14, 19, 18 and 18? (a) 19 (b) 18 (c) 14 (d) 7
  29. 29.What is the median of 31, 2, 9, 14 and 34? (a) 9 (b) 18 (c) 31 (d) 14
  30. 30.What is the mode of 8, 3, 20, 20, 20, 17 and 17? (a) 17 (b) 20 (c) 8 (d) 3
  31. 31.What is the mean of 20, 12, 16, 17 and 10? (a) 14 (b) 17 (c) 16 (d) 15
  32. 32.What is the mode of 19, 7, 20, 18, 7, 7 and 20? (a) 18 (b) 19 (c) 20 (d) 7
  33. 33.What is the mode of 14, 14, 13, 15, 15, 4 and 15? (a) 13 (b) 4 (c) 15 (d) 14
  34. 34.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 36 (b) 40 (c) 37 (d) 22
  35. 35.The mean of 8 numbers is 16. When the number 43 is added to them, what is the new mean? (a) 18 (b) 19 (c) 16 (d) 20
  36. 36.The mean of 5 numbers is 37. When the number 49 is added to them, what is the new mean? (a) 43 (b) 37 (c) 40 (d) 39
  37. 37.What is the mode of 7, 2, 19, 1, 19, 1 and 1? (a) 7 (b) 1 (c) 19 (d) 2
  38. 38.The mean of 7 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 8 (b) 10 (c) 6 (d) 9
  39. 39.What is the mode of 6, 14, 1, 6, 16, 1 and 1? (a) 1 (b) 6 (c) 16 (d) 14
  40. 40.What is the mean of 4, 4, 19 and 5? (a) 7 (b) 10 (c) 9 (d) 8

Answer key

  1. 11
  2. 22
  3. 14
  4. 12
  5. 9
  6. 12
  7. 14
  8. 9
  9. 15
  10. 24
  11. 12
  12. 18
  13. 10
  14. 36
  15. 25
  16. 12
  17. 29
  18. 19
  19. 21
  20. 35
  21. 41
  22. 1
  23. 7
  24. 11
  25. 31
  26. 10
  27. 23
  28. 18
  29. 14
  30. 20
  31. 15
  32. 7
  33. 15
  34. 36
  35. 19
  36. 39
  37. 1
  38. 9
  39. 1
  40. 8

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