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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 827 · 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.The mean of 7 numbers is 29. When the number 61 is added to them, what is the new mean? (a) 29 (b) 33 (c) 45 (d) 34
  2. 2.What is the mode of 5, 19, 16, 19, 16, 12 and 16? (a) 5 (b) 19 (c) 12 (d) 16
  3. 3.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 18 (c) 24 (d) 20
  4. 4.What is the mode of 3, 18, 8, 18, 20, 3 and 3? (a) 18 (b) 8 (c) 20 (d) 3
  5. 5.What is the median of 17, 21, 6, 7, 4, 26 and 20? (a) 7 (b) 18 (c) 17 (d) 20
  6. 6.What is the median of 10, 38, 14, 11 and 2? (a) 14 (b) 10 (c) 15 (d) 11
  7. 7.What is the mode of 4, 20, 5, 5, 4, 5 and 2? (a) 4 (b) 2 (c) 20 (d) 5
  8. 8.What is the mean of 6, 4, 13, 20 and 17? (a) 10 (b) 13 (c) 12 (d) 15
  9. 9.What is the median of 11, 5, 4, 13, 34, 22 and 40? (a) 14 (b) 22 (c) 11 (d) 13
  10. 10.What is the median of 28, 7, 37, 4 and 32? (a) 7 (b) 32 (c) 37 (d) 28
  11. 11.What is the mean of 15, 9, 15, 17 and 4? (a) 13 (b) 12 (c) 10 (d) 15
  12. 12.What is the median of 28, 14, 29, 20 and 27? (a) 27 (b) 29 (c) 28 (d) 20
  13. 13.What is the mode of 12, 9, 6, 9, 6, 9 and 14? (a) 12 (b) 6 (c) 9 (d) 14
  14. 14.What is the mode of 11, 11, 1, 3, 1, 11 and 10? (a) 11 (b) 1 (c) 3 (d) 10
  15. 15.What is the mean of 13, 4, 6, 2, 6 and 17? (a) 8 (b) 10 (c) 9 (d) 7
  16. 16.What is the median of 9, 27, 19, 14, 13, 4 and 3? (a) 9 (b) 12 (c) 13 (d) 14
  17. 17.The mean of 6 numbers is 10. When the number 24 is added to them, what is the new mean? (a) 13 (b) 17 (c) 12 (d) 10
  18. 18.What is the median of 12, 3, 14, 27 and 23? (a) 12 (b) 23 (c) 14 (d) 15
  19. 19.What is the mean of 19, 3, 20, 10 and 8? (a) 13 (b) 10 (c) 12 (d) 15
  20. 20.What is the mean of 8, 12, 2 and 18? (a) 8 (b) 9 (c) 10 (d) 11
  21. 21.What is the median of 24, 12, 31, 23 and 33? (a) 25 (b) 23 (c) 24 (d) 31
  22. 22.The mean of 3 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 26 (b) 29 (c) 30 (d) 32
  23. 23.What is the mean of 20, 3, 2 and 7? (a) 7 (b) 10 (c) 9 (d) 8
  24. 24.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 22 (b) 21 (c) 19 (d) 20
  25. 25.What is the mode of 13, 7, 2, 2, 13, 13 and 20? (a) 13 (b) 2 (c) 7 (d) 20
  26. 26.What is the mean of 13, 16, 3, 13 and 20? (a) 13 (b) 14 (c) 12 (d) 15
  27. 27.What is the median of 33, 31, 14, 26, 32, 17 and 8? (a) 17 (b) 26 (c) 31 (d) 23
  28. 28.What is the mode of 17, 7, 6, 17, 15, 7 and 17? (a) 17 (b) 7 (c) 6 (d) 15
  29. 29.What is the mean of 14, 3, 4, 3 and 21? (a) 11 (b) 8 (c) 9 (d) 10
  30. 30.What is the mode of 1, 14, 14, 14, 9, 9 and 4? (a) 4 (b) 9 (c) 1 (d) 14
  31. 31.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 28 (b) 27 (c) 25 (d) 26
  32. 32.What is the mode of 18, 8, 4, 8, 4, 1 and 8? (a) 1 (b) 4 (c) 18 (d) 8
  33. 33.What is the mean of 7, 13, 2 and 6? (a) 6 (b) 7 (c) 8 (d) 9
  34. 34.The mean of 8 numbers is 16. When the number 25 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 16
  35. 35.The mean of 9 numbers is 28. When the number 8 is added to them, what is the new mean? (a) 18 (b) 28 (c) 27 (d) 26
  36. 36.What is the mode of 7, 7, 4, 17, 4, 11 and 4? (a) 11 (b) 17 (c) 7 (d) 4
  37. 37.What is the mean of 8, 4, 3, 14 and 6? (a) 7 (b) 9 (c) 8 (d) 6
  38. 38.What is the mode of 14, 11, 2, 12, 2, 2 and 14? (a) 11 (b) 2 (c) 14 (d) 12
  39. 39.What is the mode of 2, 16, 15, 2, 15, 15 and 7? (a) 16 (b) 15 (c) 2 (d) 7
  40. 40.What is the mean of 19, 5, 7, 7 and 7? (a) 9 (b) 11 (c) 8 (d) 10

Answer key

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

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