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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 86 · 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 11, 19, 2, 17, 2 and 9? (a) 10 (b) 11 (c) 9 (d) 12
  2. 2.The mean of 8 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 17 (b) 26 (c) 20 (d) 19
  3. 3.What is the mean of 4, 3, 8, 13 and 12? (a) 10 (b) 9 (c) 8 (d) 7
  4. 4.What is the mode of 19, 2, 18, 2, 12, 18 and 18? (a) 12 (b) 18 (c) 2 (d) 19
  5. 5.What is the median of 4, 2, 3, 22 and 30? (a) 5 (b) 4 (c) 3 (d) 22
  6. 6.What is the mode of 1, 8, 9, 17, 17, 17 and 9? (a) 1 (b) 8 (c) 9 (d) 17
  7. 7.What is the median of 26, 24, 29, 1, 11, 7 and 5? (a) 1 (b) 24 (c) 11 (d) 7
  8. 8.What is the mode of 8, 1, 11, 1, 5, 8 and 8? (a) 5 (b) 11 (c) 8 (d) 1
  9. 9.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 7 (b) 10 (c) 11 (d) 12
  10. 10.What is the mean of 18, 11, 15 and 4? (a) 13 (b) 11 (c) 16 (d) 12
  11. 11.What is the mean of 19, 19, 5 and 13? (a) 15 (b) 13 (c) 14 (d) 16
  12. 12.What is the mode of 3, 20, 12, 3, 11, 3 and 12? (a) 12 (b) 11 (c) 20 (d) 3
  13. 13.What is the median of 17, 9, 18, 3, 11, 39 and 15? (a) 16 (b) 3 (c) 17 (d) 15
  14. 14.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 22 (b) 21 (c) 17 (d) 25
  15. 15.What is the mean of 11, 8, 8 and 9? (a) 8 (b) 9 (c) 10 (d) 12
  16. 16.What is the median of 32, 18, 24, 20 and 23? (a) 22 (b) 23 (c) 24 (d) 20
  17. 17.What is the mode of 17, 1, 1, 5, 1, 2 and 2? (a) 17 (b) 5 (c) 2 (d) 1
  18. 18.What is the mode of 3, 5, 3, 2, 6, 5 and 3? (a) 6 (b) 5 (c) 3 (d) 2
  19. 19.The mean of 3 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 13 (b) 9 (c) 12 (d) 15
  20. 20.What is the mean of 15, 17, 13 and 7? (a) 14 (b) 12 (c) 15 (d) 13
  21. 21.What is the mean of 13, 15, 2 and 6? (a) 10 (b) 12 (c) 8 (d) 9
  22. 22.The mean of 8 numbers is 33. When the number 51 is added to them, what is the new mean? (a) 42 (b) 33 (c) 36 (d) 35
  23. 23.What is the mean of 4, 11, 13, 16 and 21? (a) 12 (b) 14 (c) 13 (d) 15
  24. 24.What is the mean of 5, 4, 8, 3, 14 and 14? (a) 10 (b) 7 (c) 9 (d) 8
  25. 25.What is the median of 28, 18, 16, 30 and 3? (a) 16 (b) 19 (c) 18 (d) 28
  26. 26.What is the mean of 16, 19, 17, 7, 17 and 20? (a) 15 (b) 17 (c) 18 (d) 16
  27. 27.The mean of 4 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 21 (b) 24 (c) 20 (d) 14
  28. 28.What is the mean of 9, 10, 18, 16 and 17? (a) 15 (b) 14 (c) 16 (d) 13
  29. 29.What is the mean of 8, 6, 8, 6, 9 and 17? (a) 10 (b) 8 (c) 11 (d) 9
  30. 30.What is the median of 13, 19, 36, 2 and 11? (a) 36 (b) 13 (c) 11 (d) 19
  31. 31.What is the mode of 9, 15, 19, 15, 15, 2 and 2? (a) 2 (b) 19 (c) 15 (d) 9
  32. 32.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 16 (b) 31 (c) 11 (d) 15
  33. 33.What is the median of 17, 35, 33, 9 and 37? (a) 33 (b) 17 (c) 34 (d) 35
  34. 34.What is the median of 17, 20, 3, 14 and 1? (a) 11 (b) 17 (c) 14 (d) 3
  35. 35.What is the median of 23, 36, 9, 32, 5, 14 and 3? (a) 32 (b) 9 (c) 23 (d) 14
  36. 36.What is the mode of 4, 16, 11, 4, 8, 11 and 4? (a) 11 (b) 8 (c) 16 (d) 4
  37. 37.The mean of 4 numbers is 18. When the number 23 is added to them, what is the new mean? (a) 18 (b) 19 (c) 21 (d) 20
  38. 38.What is the median of 26, 27, 39, 31, 17, 33 and 38? (a) 31 (b) 27 (c) 33 (d) 32
  39. 39.What is the mean of 20, 3, 11, 6, 11 and 3? (a) 9 (b) 10 (c) 8 (d) 11
  40. 40.The mean of 9 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 32

Answer key

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

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