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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 320 · 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 10, 12, 5, 16, 4 and 13? (a) 11 (b) 9 (c) 12 (d) 10
  2. 2.What is the median of 13, 8, 22, 40, 21, 4 and 20? (a) 13 (b) 21 (c) 40 (d) 20
  3. 3.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 17 (b) 16 (c) 14 (d) 19
  4. 4.What is the median of 30, 15, 14, 25 and 11? (a) 14 (b) 15 (c) 19 (d) 25
  5. 5.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 22 (b) 20 (c) 18 (d) 19
  6. 6.What is the mean of 5, 6, 11 and 14? (a) 10 (b) 12 (c) 8 (d) 9
  7. 7.The mean of 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 20 (b) 22 (c) 18 (d) 21
  8. 8.What is the mean of 14, 14, 12 and 12? (a) 13 (b) 12 (c) 15 (d) 14
  9. 9.What is the median of 24, 40, 11, 21 and 4? (a) 24 (b) 21 (c) 20 (d) 11
  10. 10.The mean of 5 numbers is 36. When the number 24 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 30
  11. 11.What is the mode of 2, 2, 19, 19, 18, 3 and 19? (a) 18 (b) 3 (c) 2 (d) 19
  12. 12.What is the mean of 8, 5, 17 and 18? (a) 13 (b) 16 (c) 11 (d) 12
  13. 13.What is the mode of 18, 7, 2, 7, 18, 17 and 18? (a) 2 (b) 18 (c) 17 (d) 7
  14. 14.What is the mode of 17, 17, 1, 17, 5, 15 and 1? (a) 5 (b) 1 (c) 17 (d) 15
  15. 15.What is the mean of 17, 8, 20 and 19? (a) 15 (b) 16 (c) 18 (d) 17
  16. 16.What is the mean of 16, 3, 4, 18, 17 and 8? (a) 13 (b) 11 (c) 10 (d) 12
  17. 17.What is the median of 14, 40, 32, 37 and 11? (a) 33 (b) 37 (c) 32 (d) 14
  18. 18.What is the mean of 14, 12, 16, 4 and 19? (a) 12 (b) 13 (c) 15 (d) 14
  19. 19.The mean of 5 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 31 (b) 34 (c) 32 (d) 25
  20. 20.What is the mean of 5, 14, 8, 17, 5 and 11? (a) 12 (b) 9 (c) 11 (d) 10
  21. 21.What is the mean of 2, 7, 3 and 12? (a) 7 (b) 5 (c) 8 (d) 6
  22. 22.What is the median of 23, 22, 5, 30 and 14? (a) 5 (b) 22 (c) 14 (d) 23
  23. 23.What is the mean of 9, 6, 18 and 23? (a) 15 (b) 16 (c) 14 (d) 13
  24. 24.What is the median of 18, 14, 17, 36, 25, 24 and 6? (a) 20 (b) 24 (c) 18 (d) 36
  25. 25.What is the mode of 5, 8, 8, 14, 15, 5 and 8? (a) 14 (b) 15 (c) 5 (d) 8
  26. 26.What is the mode of 8, 7, 8, 2, 7, 5 and 7? (a) 5 (b) 8 (c) 2 (d) 7
  27. 27.The mean of 7 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 19 (b) 27 (c) 21 (d) 22
  28. 28.The mean of 3 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 32 (b) 28 (c) 31 (d) 34
  29. 29.What is the mean of 11, 15, 4, 3, 19 and 8? (a) 9 (b) 10 (c) 12 (d) 11
  30. 30.What is the median of 4, 5, 6, 37, 7, 24 and 19? (a) 19 (b) 6 (c) 7 (d) 37
  31. 31.What is the median of 26, 16, 8, 19, 9, 37 and 38? (a) 20 (b) 16 (c) 19 (d) 26
  32. 32.The mean of 6 numbers is 39. When the number 11 is added to them, what is the new mean? (a) 35 (b) 25 (c) 36 (d) 39
  33. 33.What is the median of 33, 27, 4, 11 and 19? (a) 19 (b) 27 (c) 11 (d) 4
  34. 34.What is the mean of 16, 9, 7, 5 and 8? (a) 11 (b) 10 (c) 9 (d) 8
  35. 35.What is the mean of 2, 20, 20, 15, 7 and 8? (a) 12 (b) 13 (c) 14 (d) 11
  36. 36.What is the median of 16, 38, 18, 15, 24, 1 and 8? (a) 16 (b) 18 (c) 15 (d) 17
  37. 37.What is the median of 15, 40, 36, 24 and 4? (a) 15 (b) 24 (c) 36 (d) 25
  38. 38.What is the mean of 15, 16, 13, 19 and 7? (a) 15 (b) 16 (c) 13 (d) 14
  39. 39.What is the mean of 19, 19, 2, 3, 6 and 11? (a) 10 (b) 12 (c) 9 (d) 11
  40. 40.What is the mean of 20, 5, 12, 16 and 7? (a) 12 (b) 13 (c) 10 (d) 15

Answer key

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

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