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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 488 · 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 5, 7, 23, 22 and 30? (a) 22 (b) 23 (c) 7 (d) 21
  2. 2.What is the mean of 6, 8, 10 and 8? (a) 8 (b) 7 (c) 9 (d) 10
  3. 3.The mean of 9 numbers is 14. When the number 44 is added to them, what is the new mean? (a) 17 (b) 29 (c) 18 (d) 14
  4. 4.The mean of 8 numbers is 36. When the number 27 is added to them, what is the new mean? (a) 34 (b) 37 (c) 36 (d) 35
  5. 5.What is the median of 8, 24, 12, 3 and 6? (a) 9 (b) 6 (c) 12 (d) 8
  6. 6.What is the mode of 8, 8, 4, 4, 10, 4 and 18? (a) 18 (b) 4 (c) 8 (d) 10
  7. 7.What is the mean of 12, 17, 7 and 16? (a) 12 (b) 13 (c) 15 (d) 14
  8. 8.What is the mean of 11, 18, 13 and 10? (a) 14 (b) 12 (c) 13 (d) 15
  9. 9.What is the mean of 10, 14, 19, 5, 11 and 19? (a) 13 (b) 12 (c) 15 (d) 14
  10. 10.What is the median of 31, 2, 13, 12, 30, 6 and 34? (a) 14 (b) 12 (c) 30 (d) 13
  11. 11.What is the median of 11, 20, 13, 19 and 9? (a) 19 (b) 13 (c) 14 (d) 11
  12. 12.The mean of 6 numbers is 23. When the number 37 is added to them, what is the new mean? (a) 25 (b) 30 (c) 23 (d) 26
  13. 13.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 15
  14. 14.What is the mean of 5, 13, 5, 19, 12 and 6? (a) 12 (b) 11 (c) 10 (d) 9
  15. 15.What is the mode of 2, 1, 11, 1, 20, 1 and 2? (a) 11 (b) 2 (c) 20 (d) 1
  16. 16.What is the mean of 5, 2, 12, 6 and 5? (a) 5 (b) 7 (c) 8 (d) 6
  17. 17.The mean of 3 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 41 (b) 35 (c) 38 (d) 39
  18. 18.What is the median of 18, 10, 29, 39 and 15? (a) 19 (b) 15 (c) 18 (d) 29
  19. 19.What is the mode of 13, 5, 8, 1, 5, 5 and 13? (a) 8 (b) 5 (c) 13 (d) 1
  20. 20.What is the mean of 20, 19, 12, 2, 14 and 23? (a) 16 (b) 15 (c) 18 (d) 14
  21. 21.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 31 (b) 29 (c) 30 (d) 26
  22. 22.What is the mode of 5, 15, 5, 10, 10, 12 and 5? (a) 10 (b) 15 (c) 12 (d) 5
  23. 23.What is the mode of 14, 10, 6, 9, 9, 9 and 10? (a) 9 (b) 10 (c) 6 (d) 14
  24. 24.What is the median of 20, 18, 2, 6, 26, 1 and 9? (a) 9 (b) 6 (c) 10 (d) 18
  25. 25.What is the mean of 16, 3, 15 and 14? (a) 13 (b) 11 (c) 16 (d) 12
  26. 26.What is the median of 8, 7, 10, 33, 15, 23 and 29? (a) 15 (b) 23 (c) 33 (d) 10
  27. 27.What is the median of 3, 5, 20, 12 and 36? (a) 5 (b) 12 (c) 20 (d) 13
  28. 28.The mean of 3 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 12 (b) 17 (c) 16 (d) 20
  29. 29.What is the median of 34, 36, 16, 32, 11, 29 and 35? (a) 29 (b) 34 (c) 33 (d) 32
  30. 30.What is the mode of 6, 7, 6, 10, 6, 10 and 19? (a) 6 (b) 19 (c) 10 (d) 7
  31. 31.What is the mean of 11, 11, 17, 12, 19 and 14? (a) 15 (b) 13 (c) 14 (d) 12
  32. 32.What is the mean of 6, 18, 6, 6, 3 and 9? (a) 8 (b) 7 (c) 9 (d) 10
  33. 33.What is the mode of 11, 2, 9, 11, 2, 2 and 8? (a) 9 (b) 2 (c) 8 (d) 11
  34. 34.What is the median of 8, 10, 9, 29, 28, 26 and 14? (a) 14 (b) 10 (c) 29 (d) 26
  35. 35.What is the mean of 4, 4, 7, 19 and 11? (a) 11 (b) 10 (c) 8 (d) 9
  36. 36.The mean of 6 numbers is 17. When the number 10 is added to them, what is the new mean? (a) 17 (b) 15 (c) 16 (d) 18
  37. 37.What is the mean of 4, 10, 13, 3, 17 and 19? (a) 11 (b) 10 (c) 13 (d) 12
  38. 38.What is the mean of 19, 13, 12, 20 and 6? (a) 16 (b) 15 (c) 14 (d) 13
  39. 39.What is the median of 28, 32, 25, 27, 17, 15 and 29? (a) 26 (b) 28 (c) 25 (d) 27
  40. 40.What is the mode of 18, 12, 18, 14, 14, 14 and 5? (a) 5 (b) 14 (c) 12 (d) 18

Answer key

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

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