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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 318 · 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 31, 25, 1, 26, 4, 20 and 19? (a) 26 (b) 25 (c) 18 (d) 20
  2. 2.What is the mode of 9, 8, 12, 9, 9, 14 and 14? (a) 8 (b) 9 (c) 14 (d) 12
  3. 3.What is the mean of 10, 14, 8 and 4? (a) 9 (b) 12 (c) 10 (d) 8
  4. 4.The mean of 4 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 36 (b) 35 (c) 38 (d) 33
  5. 5.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 26 (b) 28 (c) 29 (d) 27
  6. 6.What is the mean of 14, 17, 14, 15, 17 and 7? (a) 12 (b) 14 (c) 15 (d) 13
  7. 7.What is the mean of 12, 4, 13, 7 and 19? (a) 13 (b) 12 (c) 11 (d) 10
  8. 8.The mean of 4 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 25 (b) 30 (c) 29 (d) 35
  9. 9.What is the mean of 9, 16, 11 and 4? (a) 11 (b) 9 (c) 8 (d) 10
  10. 10.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 12 (b) 10 (c) 9 (d) 11
  11. 11.What is the mean of 15, 12, 4 and 5? (a) 9 (b) 8 (c) 10 (d) 12
  12. 12.What is the mean of 13, 3, 2, 20 and 2? (a) 9 (b) 8 (c) 10 (d) 7
  13. 13.What is the median of 14, 23, 20, 22, 29, 13 and 17? (a) 17 (b) 21 (c) 22 (d) 20
  14. 14.What is the mode of 15, 1, 1, 15, 10, 9 and 15? (a) 1 (b) 15 (c) 10 (d) 9
  15. 15.What is the median of 32, 1, 13, 31 and 37? (a) 13 (b) 32 (c) 30 (d) 31
  16. 16.What is the mean of 7, 10, 14, 12, 5 and 24? (a) 13 (b) 12 (c) 14 (d) 11
  17. 17.What is the mean of 15, 3, 14, 10, 10 and 8? (a) 9 (b) 11 (c) 12 (d) 10
  18. 18.What is the median of 3, 24, 22, 38, 28, 12 and 9? (a) 24 (b) 22 (c) 38 (d) 12
  19. 19.What is the mode of 6, 13, 17, 4, 4, 6 and 4? (a) 6 (b) 4 (c) 13 (d) 17
  20. 20.What is the mean of 19, 19, 7 and 11? (a) 16 (b) 13 (c) 14 (d) 15
  21. 21.What is the median of 24, 11, 10, 18 and 1? (a) 10 (b) 18 (c) 12 (d) 11
  22. 22.What is the mode of 3, 5, 7, 16, 16, 3 and 16? (a) 7 (b) 5 (c) 3 (d) 16
  23. 23.What is the mean of 18, 6, 18, 15, 8 and 19? (a) 12 (b) 14 (c) 15 (d) 13
  24. 24.What is the median of 39, 10, 26, 9 and 34? (a) 34 (b) 10 (c) 27 (d) 26
  25. 25.What is the mode of 14, 18, 14, 14, 5, 4 and 5? (a) 14 (b) 18 (c) 4 (d) 5
  26. 26.What is the median of 19, 2, 33, 4, 9, 11 and 22? (a) 11 (b) 4 (c) 19 (d) 9
  27. 27.The mean of 7 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 26 (b) 22 (c) 25 (d) 34
  28. 28.What is the median of 8, 21, 35, 39 and 27? (a) 21 (b) 35 (c) 26 (d) 27
  29. 29.What is the mode of 17, 17, 2, 14, 17, 6 and 6? (a) 14 (b) 2 (c) 6 (d) 17
  30. 30.What is the median of 8, 36, 4, 19, 21, 20 and 11? (a) 20 (b) 11 (c) 17 (d) 19
  31. 31.What is the mode of 19, 3, 8, 17, 3, 3 and 8? (a) 17 (b) 19 (c) 8 (d) 3
  32. 32.What is the mean of 3, 17, 5, 7, 18 and 16? (a) 12 (b) 10 (c) 13 (d) 11
  33. 33.What is the mean of 18, 5, 11 and 14? (a) 12 (b) 11 (c) 16 (d) 13
  34. 34.What is the median of 2, 31, 24, 32, 20, 4 and 22? (a) 22 (b) 24 (c) 32 (d) 20
  35. 35.What is the mode of 11, 5, 4, 5, 5, 3 and 3? (a) 3 (b) 11 (c) 4 (d) 5
  36. 36.What is the median of 37, 2, 13, 26, 20, 38 and 10? (a) 13 (b) 26 (c) 21 (d) 20
  37. 37.The mean of 4 numbers is 24. When the number 34 is added to them, what is the new mean? (a) 26 (b) 29 (c) 27 (d) 24
  38. 38.What is the mode of 14, 20, 7, 13, 14, 7 and 14? (a) 20 (b) 13 (c) 14 (d) 7
  39. 39.What is the mean of 9, 16, 13, 20 and 22? (a) 17 (b) 15 (c) 16 (d) 20
  40. 40.What is the median of 17, 38, 8, 12 and 24? (a) 12 (b) 17 (c) 24 (d) 8

Answer key

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

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