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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 901 · 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 39, 12, 40, 9, 11, 31 and 10? (a) 11 (b) 12 (c) 9 (d) 31
  2. 2.What is the mean of 16, 4, 15, 8 and 7? (a) 12 (b) 9 (c) 11 (d) 10
  3. 3.What is the mode of 14, 18, 11, 3, 11, 11 and 14? (a) 18 (b) 11 (c) 14 (d) 3
  4. 4.What is the median of 7, 32, 25, 9 and 30? (a) 30 (b) 25 (c) 9 (d) 26
  5. 5.The mean of 7 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 33 (b) 37 (c) 36 (d) 45
  6. 6.What is the mean of 12, 11, 9, 8, 11 and 15? (a) 10 (b) 12 (c) 13 (d) 11
  7. 7.What is the mean of 3, 7, 9, 13 and 13? (a) 8 (b) 9 (c) 11 (d) 10
  8. 8.What is the median of 22, 14, 10, 24 and 2? (a) 15 (b) 14 (c) 10 (d) 22
  9. 9.What is the mean of 4, 5, 14, 7 and 20? (a) 12 (b) 11 (c) 10 (d) 9
  10. 10.What is the median of 6, 4, 10, 13 and 8? (a) 9 (b) 10 (c) 6 (d) 8
  11. 11.What is the mode of 12, 14, 4, 12, 7, 12 and 14? (a) 14 (b) 7 (c) 12 (d) 4
  12. 12.The mean of 7 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 20 (b) 22 (c) 18 (d) 21
  13. 13.The mean of 4 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 25
  14. 14.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 18 (b) 21 (c) 20 (d) 23
  15. 15.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 23 (b) 26 (c) 25 (d) 27
  16. 16.What is the mean of 20, 14, 12, 3 and 16? (a) 15 (b) 12 (c) 14 (d) 13
  17. 17.What is the mean of 19, 15, 19, 2 and 15? (a) 13 (b) 16 (c) 14 (d) 15
  18. 18.The mean of 4 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 12
  19. 19.What is the median of 17, 7, 1, 14, 18, 11 and 37? (a) 17 (b) 14 (c) 15 (d) 11
  20. 20.The mean of 4 numbers is 31. When the number 46 is added to them, what is the new mean? (a) 35 (b) 33 (c) 31 (d) 34
  21. 21.What is the mode of 6, 12, 6, 7, 19, 6 and 19? (a) 7 (b) 12 (c) 6 (d) 19
  22. 22.What is the mode of 9, 5, 1, 5, 3, 9 and 5? (a) 3 (b) 9 (c) 5 (d) 1
  23. 23.What is the mode of 15, 11, 15, 11, 13, 11 and 1? (a) 1 (b) 13 (c) 11 (d) 15
  24. 24.What is the mode of 4, 8, 8, 7, 4, 8 and 6? (a) 8 (b) 7 (c) 4 (d) 6
  25. 25.What is the mean of 12, 15, 13, 6 and 9? (a) 12 (b) 10 (c) 11 (d) 13
  26. 26.What is the mean of 6, 17, 18, 9, 11 and 11? (a) 11 (b) 12 (c) 13 (d) 14
  27. 27.What is the mean of 4, 7, 2, 12, 15 and 20? (a) 9 (b) 12 (c) 11 (d) 10
  28. 28.What is the mean of 20, 19, 18 and 3? (a) 16 (b) 12 (c) 15 (d) 20
  29. 29.What is the mean of 4, 3, 19, 7, 2 and 13? (a) 8 (b) 9 (c) 10 (d) 7
  30. 30.What is the mode of 5, 5, 7, 19, 7, 5 and 10? (a) 7 (b) 19 (c) 10 (d) 5
  31. 31.What is the median of 1, 34, 19, 14 and 8? (a) 8 (b) 19 (c) 14 (d) 15
  32. 32.What is the median of 5, 2, 26, 35, 30, 10 and 9? (a) 10 (b) 26 (c) 35 (d) 9
  33. 33.What is the mean of 9, 17, 14, 5, 12 and 9? (a) 13 (b) 10 (c) 11 (d) 12
  34. 34.What is the mean of 14, 5, 7, 5 and 19? (a) 9 (b) 10 (c) 12 (d) 11
  35. 35.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 35 (b) 38 (c) 34 (d) 24
  36. 36.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 17
  37. 37.What is the mean of 7, 10, 11 and 16? (a) 12 (b) 13 (c) 10 (d) 11
  38. 38.The mean of 6 numbers is 27. When the number 48 is added to them, what is the new mean? (a) 31 (b) 29 (c) 30 (d) 27
  39. 39.What is the median of 22, 33, 4, 39, 32, 40 and 5? (a) 33 (b) 25 (c) 32 (d) 39
  40. 40.What is the mean of 20, 18, 10, 6, 5 and 13? (a) 11 (b) 12 (c) 14 (d) 13

Answer key

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

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