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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 375 · 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 5 numbers is 35. When the number 29 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 32
  2. 2.The mean of 7 numbers is 27. When the number 11 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 19
  3. 3.What is the median of 22, 1, 5, 4 and 9? (a) 9 (b) 6 (c) 5 (d) 4
  4. 4.What is the mean of 20, 6, 8, 14 and 12? (a) 13 (b) 15 (c) 10 (d) 12
  5. 5.What is the mode of 9, 6, 9, 12, 2, 12 and 9? (a) 9 (b) 12 (c) 2 (d) 6
  6. 6.What is the median of 38, 2, 1, 36 and 37? (a) 1 (b) 36 (c) 2 (d) 37
  7. 7.What is the mode of 3, 1, 3, 7, 7, 2 and 3? (a) 2 (b) 3 (c) 7 (d) 1
  8. 8.What is the mean of 3, 16, 17, 5 and 19? (a) 13 (b) 12 (c) 10 (d) 15
  9. 9.The mean of 9 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 45 (b) 40 (c) 41 (d) 42
  10. 10.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 17
  11. 11.What is the mean of 5, 19, 11, 9 and 16? (a) 13 (b) 15 (c) 10 (d) 12
  12. 12.What is the mode of 15, 6, 19, 15, 11, 15 and 6? (a) 15 (b) 19 (c) 11 (d) 6
  13. 13.What is the median of 34, 16, 19, 8 and 11? (a) 11 (b) 16 (c) 17 (d) 19
  14. 14.What is the mean of 9, 20, 10, 10, 12 and 11? (a) 13 (b) 12 (c) 14 (d) 11
  15. 15.The mean of 4 numbers is 20. When the number 15 is added to them, what is the new mean? (a) 19 (b) 18 (c) 20 (d) 21
  16. 16.The mean of 7 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 27 (b) 25 (c) 23 (d) 26
  17. 17.What is the mean of 8, 12, 17, 7, 14 and 8? (a) 11 (b) 13 (c) 10 (d) 12
  18. 18.What is the median of 4, 12, 2, 40, 1, 13 and 19? (a) 12 (b) 13 (c) 40 (d) 4
  19. 19.The mean of 4 numbers is 30. When the number 25 is added to them, what is the new mean? (a) 30 (b) 31 (c) 28 (d) 29
  20. 20.The mean of 4 numbers is 32. When the number 37 is added to them, what is the new mean? (a) 34 (b) 33 (c) 32 (d) 35
  21. 21.What is the mode of 17, 1, 17, 19, 19, 11 and 17? (a) 17 (b) 1 (c) 19 (d) 11
  22. 22.The mean of 5 numbers is 24. When the number 36 is added to them, what is the new mean? (a) 27 (b) 24 (c) 30 (d) 26
  23. 23.The mean of 9 numbers is 14. When the number 44 is added to them, what is the new mean? (a) 29 (b) 18 (c) 17 (d) 14
  24. 24.The mean of 5 numbers is 31. When the number 37 is added to them, what is the new mean? (a) 34 (b) 33 (c) 32 (d) 31
  25. 25.What is the mean of 7, 5, 5, 14 and 4? (a) 9 (b) 6 (c) 7 (d) 8
  26. 26.What is the median of 35, 39, 7, 5 and 33? (a) 35 (b) 34 (c) 33 (d) 7
  27. 27.What is the median of 18, 24, 36, 31, 5, 26 and 30? (a) 31 (b) 24 (c) 26 (d) 30
  28. 28.What is the mean of 20, 11, 15, 7 and 12? (a) 12 (b) 15 (c) 14 (d) 13
  29. 29.What is the mode of 12, 3, 4, 4, 12, 1 and 4? (a) 4 (b) 12 (c) 1 (d) 3
  30. 30.What is the mode of 6, 20, 9, 9, 13, 13 and 13? (a) 6 (b) 9 (c) 20 (d) 13
  31. 31.What is the median of 36, 6, 37, 33 and 30? (a) 37 (b) 36 (c) 33 (d) 30
  32. 32.What is the mode of 14, 14, 6, 19, 6, 9 and 6? (a) 9 (b) 14 (c) 19 (d) 6
  33. 33.What is the mode of 14, 14, 19, 11, 14, 19 and 6? (a) 19 (b) 11 (c) 14 (d) 6
  34. 34.What is the mean of 9, 12, 3, 8, 12 and 4? (a) 7 (b) 8 (c) 10 (d) 9
  35. 35.What is the mode of 10, 10, 10, 6, 13, 3 and 13? (a) 6 (b) 13 (c) 3 (d) 10
  36. 36.What is the mean of 17, 18, 17, 6 and 7? (a) 14 (b) 13 (c) 12 (d) 15
  37. 37.What is the mode of 1, 8, 1, 19, 1, 16 and 8? (a) 1 (b) 19 (c) 8 (d) 16
  38. 38.What is the mean of 17, 15, 13, 6 and 24? (a) 14 (b) 17 (c) 15 (d) 16
  39. 39.What is the mean of 14, 16, 5, 10 and 15? (a) 10 (b) 13 (c) 15 (d) 12
  40. 40.What is the median of 22, 32, 8, 29 and 2? (a) 22 (b) 23 (c) 29 (d) 8

Answer key

  1. 34
  2. 25
  3. 5
  4. 12
  5. 9
  6. 36
  7. 3
  8. 12
  9. 41
  10. 18
  11. 12
  12. 15
  13. 16
  14. 12
  15. 19
  16. 26
  17. 11
  18. 12
  19. 29
  20. 33
  21. 17
  22. 26
  23. 17
  24. 32
  25. 7
  26. 33
  27. 26
  28. 13
  29. 4
  30. 13
  31. 33
  32. 6
  33. 14
  34. 8
  35. 10
  36. 13
  37. 1
  38. 15
  39. 12
  40. 22

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