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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 300 · 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 32, 24, 33, 18 and 4? (a) 32 (b) 18 (c) 24 (d) 33
  2. 2.What is the mode of 13, 19, 17, 17, 13, 17 and 2? (a) 2 (b) 17 (c) 13 (d) 19
  3. 3.What is the median of 12, 27, 39, 9, 10, 14 and 33? (a) 14 (b) 9 (c) 27 (d) 12
  4. 4.The mean of 4 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 26 (b) 36 (c) 33 (d) 32
  5. 5.What is the median of 16, 29, 12, 7, 11, 21 and 18? (a) 12 (b) 18 (c) 16 (d) 7
  6. 6.What is the mean of 11, 4, 15 and 6? (a) 10 (b) 9 (c) 8 (d) 12
  7. 7.The mean of 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 33
  8. 8.What is the mean of 14, 7, 17, 8, 15 and 23? (a) 14 (b) 12 (c) 13 (d) 15
  9. 9.What is the mode of 18, 16, 20, 20, 11, 18 and 20? (a) 18 (b) 20 (c) 11 (d) 16
  10. 10.The mean of 9 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 14 (b) 24 (c) 16 (d) 17
  11. 11.What is the mean of 18, 12, 5, 16, 16 and 11? (a) 14 (b) 12 (c) 13 (d) 15
  12. 12.What is the mean of 20, 7, 11, 7, 18 and 15? (a) 15 (b) 13 (c) 14 (d) 12
  13. 13.What is the mean of 3, 20, 14 and 15? (a) 14 (b) 15 (c) 13 (d) 12
  14. 14.What is the mean of 14, 10, 18 and 18? (a) 12 (b) 15 (c) 16 (d) 20
  15. 15.The mean of 8 numbers is 18. When the number 45 is added to them, what is the new mean? (a) 18 (b) 22 (c) 20 (d) 21
  16. 16.What is the mode of 10, 16, 10, 2, 10, 12 and 2? (a) 10 (b) 2 (c) 12 (d) 16
  17. 17.What is the mode of 17, 19, 17, 19, 17, 6 and 8? (a) 19 (b) 8 (c) 6 (d) 17
  18. 18.What is the mode of 2, 1, 11, 2, 1, 2 and 5? (a) 5 (b) 11 (c) 1 (d) 2
  19. 19.What is the mean of 4, 7, 3, 19, 10 and 11? (a) 11 (b) 10 (c) 9 (d) 8
  20. 20.What is the mean of 8, 5, 8, 16 and 18? (a) 11 (b) 10 (c) 12 (d) 13
  21. 21.What is the mode of 1, 19, 1, 4, 7, 19 and 1? (a) 19 (b) 4 (c) 1 (d) 7
  22. 22.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 32 (b) 33 (c) 34 (d) 36
  23. 23.What is the mode of 12, 4, 4, 16, 15, 4 and 15? (a) 16 (b) 12 (c) 15 (d) 4
  24. 24.What is the mode of 6, 13, 6, 4, 5, 5 and 5? (a) 6 (b) 5 (c) 13 (d) 4
  25. 25.What is the median of 13, 24, 11, 2 and 38? (a) 11 (b) 24 (c) 14 (d) 13
  26. 26.The mean of 8 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 31
  27. 27.The mean of 8 numbers is 12. When the number 39 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 12
  28. 28.The mean of 5 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 37 (b) 38 (c) 35 (d) 41
  29. 29.What is the mode of 9, 13, 7, 13, 14, 7 and 7? (a) 13 (b) 7 (c) 9 (d) 14
  30. 30.The mean of 6 numbers is 23. When the number 51 is added to them, what is the new mean? (a) 27 (b) 37 (c) 23 (d) 28
  31. 31.What is the median of 28, 1, 23, 31, 27, 5 and 29? (a) 31 (b) 23 (c) 28 (d) 27
  32. 32.The mean of 5 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 25 (b) 30 (c) 31 (d) 29
  33. 33.What is the mean of 16, 8, 12 and 8? (a) 12 (b) 11 (c) 13 (d) 10
  34. 34.What is the median of 10, 13, 40, 27 and 1? (a) 27 (b) 13 (c) 10 (d) 40
  35. 35.What is the mode of 2, 2, 17, 17, 17, 4 and 20? (a) 20 (b) 17 (c) 4 (d) 2
  36. 36.What is the median of 33, 31, 26, 24 and 10? (a) 24 (b) 31 (c) 27 (d) 26
  37. 37.What is the mean of 2, 14, 12 and 20? (a) 12 (b) 11 (c) 16 (d) 13
  38. 38.What is the mode of 14, 10, 10, 4, 2, 14 and 14? (a) 10 (b) 4 (c) 14 (d) 2
  39. 39.What is the median of 38, 28, 5, 14, 27, 10 and 19? (a) 27 (b) 14 (c) 20 (d) 19
  40. 40.What is the mode of 1, 15, 20, 15, 5, 15 and 1? (a) 5 (b) 1 (c) 15 (d) 20

Answer key

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

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