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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 623 · 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 37, 4, 9, 3, 25, 5 and 6? (a) 6 (b) 3 (c) 9 (d) 5
  2. 2.The mean of 5 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 16 (b) 19 (c) 22 (d) 18
  3. 3.What is the median of 38, 27, 34, 14, 8, 11 and 13? (a) 15 (b) 14 (c) 13 (d) 27
  4. 4.What is the mode of 18, 5, 5, 18, 18, 3 and 1? (a) 5 (b) 1 (c) 3 (d) 18
  5. 5.What is the mean of 18, 13, 13 and 8? (a) 12 (b) 13 (c) 14 (d) 15
  6. 6.What is the median of 18, 35, 17, 11 and 32? (a) 18 (b) 19 (c) 32 (d) 17
  7. 7.What is the median of 36, 3, 17, 9 and 23? (a) 17 (b) 9 (c) 23 (d) 18
  8. 8.What is the median of 29, 16, 34, 8 and 23? (a) 34 (b) 22 (c) 29 (d) 23
  9. 9.What is the median of 26, 7, 13, 35, 39, 5 and 14? (a) 26 (b) 14 (c) 13 (d) 35
  10. 10.What is the mode of 6, 9, 20, 2, 9, 2 and 2? (a) 20 (b) 9 (c) 6 (d) 2
  11. 11.What is the mean of 7, 15, 20 and 2? (a) 13 (b) 11 (c) 12 (d) 10
  12. 12.What is the mean of 5, 4, 5 and 10? (a) 8 (b) 5 (c) 7 (d) 6
  13. 13.What is the mode of 19, 3, 3, 16, 2, 3 and 2? (a) 19 (b) 16 (c) 2 (d) 3
  14. 14.The mean of 3 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 39 (b) 38 (c) 41 (d) 35
  15. 15.What is the mean of 15, 4, 10 and 19? (a) 16 (b) 11 (c) 13 (d) 12
  16. 16.What is the median of 31, 3, 9, 7, 38, 26 and 37? (a) 31 (b) 9 (c) 7 (d) 26
  17. 17.What is the median of 37, 29, 40, 20 and 38? (a) 38 (b) 37 (c) 29 (d) 40
  18. 18.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 16 (b) 9 (c) 15 (d) 14
  19. 19.What is the median of 31, 37, 30, 23 and 40? (a) 30 (b) 31 (c) 32 (d) 37
  20. 20.What is the mode of 18, 18, 12, 8, 5, 18 and 12? (a) 8 (b) 18 (c) 12 (d) 5
  21. 21.The mean of 8 numbers is 30. When the number 57 is added to them, what is the new mean? (a) 30 (b) 34 (c) 33 (d) 32
  22. 22.The mean of 3 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 32
  23. 23.What is the mean of 2, 15, 8 and 7? (a) 9 (b) 8 (c) 10 (d) 7
  24. 24.What is the median of 23, 13, 24, 35 and 33? (a) 33 (b) 25 (c) 23 (d) 24
  25. 25.What is the median of 32, 40, 10, 27, 12, 37 and 24? (a) 26 (b) 32 (c) 27 (d) 24
  26. 26.What is the mean of 6, 13, 14, 18 and 4? (a) 12 (b) 10 (c) 11 (d) 13
  27. 27.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 27
  28. 28.The mean of 5 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 40 (b) 38 (c) 34 (d) 39
  29. 29.What is the median of 10, 11, 25, 15 and 9? (a) 25 (b) 14 (c) 15 (d) 11
  30. 30.What is the mean of 7, 14, 20, 5, 4 and 10? (a) 12 (b) 9 (c) 10 (d) 11
  31. 31.What is the mode of 16, 3, 2, 6, 6, 6 and 16? (a) 2 (b) 6 (c) 3 (d) 16
  32. 32.What is the median of 7, 37, 40, 17 and 4? (a) 21 (b) 17 (c) 40 (d) 37
  33. 33.The mean of 6 numbers is 20. When the number 6 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 13
  34. 34.The mean of 7 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 19 (b) 17 (c) 16 (d) 15
  35. 35.What is the mean of 18, 2, 16 and 4? (a) 11 (b) 9 (c) 8 (d) 10
  36. 36.What is the median of 35, 12, 25, 4 and 8? (a) 8 (b) 12 (c) 13 (d) 25
  37. 37.What is the mean of 13, 7, 10, 9, 11 and 10? (a) 11 (b) 12 (c) 10 (d) 9
  38. 38.What is the mode of 2, 13, 11, 20, 13, 2 and 2? (a) 2 (b) 13 (c) 20 (d) 11
  39. 39.What is the mean of 19, 2, 19, 8, 6 and 12? (a) 10 (b) 12 (c) 13 (d) 11
  40. 40.What is the mean of 13, 2, 16 and 13? (a) 10 (b) 13 (c) 11 (d) 12

Answer key

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

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