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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 400 · 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 1, 13, 18, 31, 36, 32 and 38? (a) 18 (b) 32 (c) 30 (d) 31
  2. 2.What is the median of 38, 21, 19, 37 and 6? (a) 22 (b) 21 (c) 19 (d) 37
  3. 3.The mean of 8 numbers is 29. When the number 38 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 32
  4. 4.What is the mean of 14, 7, 12 and 15? (a) 13 (b) 11 (c) 16 (d) 12
  5. 5.What is the mode of 13, 12, 3, 6, 13, 13 and 3? (a) 3 (b) 12 (c) 13 (d) 6
  6. 6.What is the mean of 14, 3, 11, 12, 17 and 21? (a) 12 (b) 15 (c) 13 (d) 14
  7. 7.What is the mean of 7, 3, 8, 18 and 14? (a) 12 (b) 11 (c) 9 (d) 10
  8. 8.What is the mode of 12, 15, 19, 1, 15, 1 and 1? (a) 12 (b) 15 (c) 19 (d) 1
  9. 9.The mean of 7 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 14
  10. 10.What is the median of 24, 36, 19, 38, 40, 1 and 6? (a) 38 (b) 19 (c) 36 (d) 24
  11. 11.What is the median of 11, 15, 40, 1 and 12? (a) 40 (b) 11 (c) 15 (d) 12
  12. 12.What is the median of 24, 2, 27, 33 and 5? (a) 25 (b) 27 (c) 24 (d) 5
  13. 13.What is the median of 17, 6, 31, 9, 37, 11 and 32? (a) 11 (b) 17 (c) 31 (d) 9
  14. 14.What is the mean of 8, 7, 20 and 5? (a) 10 (b) 9 (c) 8 (d) 11
  15. 15.What is the mode of 3, 20, 3, 18, 18, 8 and 3? (a) 3 (b) 8 (c) 18 (d) 20
  16. 16.What is the median of 34, 11, 35, 21, 20, 4 and 3? (a) 19 (b) 21 (c) 11 (d) 20
  17. 17.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 27 (b) 28 (c) 30 (d) 26
  18. 18.What is the median of 27, 15, 16, 40, 13, 22 and 36? (a) 40 (b) 27 (c) 22 (d) 16
  19. 19.What is the mean of 18, 12, 17, 3, 6 and 22? (a) 13 (b) 14 (c) 12 (d) 15
  20. 20.What is the median of 1, 22, 17, 2, 24, 3 and 10? (a) 3 (b) 10 (c) 17 (d) 2
  21. 21.What is the mean of 11, 8, 16, 13 and 17? (a) 15 (b) 13 (c) 12 (d) 14
  22. 22.What is the mean of 18, 18, 7, 15 and 17? (a) 17 (b) 16 (c) 14 (d) 15
  23. 23.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 27 (b) 28 (c) 23 (d) 29
  24. 24.What is the mean of 6, 2, 5, 16 and 6? (a) 8 (b) 7 (c) 6 (d) 9
  25. 25.What is the mean of 12, 8, 3, 2, 17 and 18? (a) 9 (b) 12 (c) 10 (d) 11
  26. 26.What is the median of 27, 3, 36, 11, 34, 7 and 25? (a) 27 (b) 11 (c) 26 (d) 25
  27. 27.What is the median of 22, 40, 35, 9, 11, 10 and 16? (a) 9 (b) 22 (c) 16 (d) 11
  28. 28.What is the median of 36, 25, 28, 6, 33, 35 and 21? (a) 25 (b) 28 (c) 6 (d) 33
  29. 29.What is the mean of 7, 6, 17, 16, 2 and 18? (a) 11 (b) 10 (c) 12 (d) 13
  30. 30.What is the mode of 8, 7, 7, 19, 9, 7 and 19? (a) 9 (b) 8 (c) 7 (d) 19
  31. 31.What is the mode of 2, 4, 2, 4, 4, 15 and 9? (a) 9 (b) 4 (c) 2 (d) 15
  32. 32.What is the median of 35, 16, 12, 14, 20, 17 and 39? (a) 14 (b) 20 (c) 17 (d) 16
  33. 33.What is the mode of 1, 16, 14, 16, 4, 16 and 1? (a) 4 (b) 16 (c) 1 (d) 14
  34. 34.What is the median of 35, 36, 11, 4, 33, 5 and 7? (a) 4 (b) 33 (c) 7 (d) 11
  35. 35.The mean of 5 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 12 (b) 24 (c) 17 (d) 16
  36. 36.What is the mode of 19, 13, 9, 19, 2, 2 and 19? (a) 2 (b) 19 (c) 13 (d) 9
  37. 37.What is the median of 23, 14, 30, 10, 4, 27 and 17? (a) 14 (b) 10 (c) 17 (d) 23
  38. 38.The mean of 9 numbers is 28. When the number 68 is added to them, what is the new mean? (a) 32 (b) 33 (c) 28 (d) 48
  39. 39.The mean of 4 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 29 (b) 32 (c) 33 (d) 34
  40. 40.The mean of 5 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 10 (b) 19 (c) 17 (d) 16

Answer key

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

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