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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 758 · 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 mode of 17, 5, 20, 17, 15, 15 and 17? (a) 15 (b) 20 (c) 17 (d) 5
  2. 2.What is the median of 3, 31, 4, 17, 27, 36 and 2? (a) 4 (b) 18 (c) 17 (d) 27
  3. 3.What is the mean of 10, 20, 20, 3 and 22? (a) 14 (b) 17 (c) 16 (d) 15
  4. 4.What is the median of 38, 11, 35, 37 and 23? (a) 35 (b) 23 (c) 37 (d) 36
  5. 5.What is the median of 3, 1, 2, 34, 11, 19 and 8? (a) 3 (b) 8 (c) 34 (d) 11
  6. 6.The mean of 9 numbers is 18. When the number 58 is added to them, what is the new mean? (a) 18 (b) 38 (c) 23 (d) 22
  7. 7.What is the median of 7, 36, 32, 27 and 15? (a) 27 (b) 28 (c) 32 (d) 15
  8. 8.What is the mean of 14, 3, 10, 19, 8 and 6? (a) 12 (b) 10 (c) 11 (d) 9
  9. 9.What is the mode of 2, 1, 6, 6, 3, 1 and 1? (a) 3 (b) 6 (c) 2 (d) 1
  10. 10.The mean of 3 numbers is 22. When the number 26 is added to them, what is the new mean? (a) 25 (b) 22 (c) 24 (d) 23
  11. 11.What is the mean of 3, 15, 4, 2 and 11? (a) 7 (b) 6 (c) 9 (d) 8
  12. 12.What is the median of 4, 32, 15, 10, 29, 8 and 33? (a) 10 (b) 29 (c) 15 (d) 16
  13. 13.What is the mean of 3, 2, 3 and 12? (a) 5 (b) 6 (c) 7 (d) 4
  14. 14.The mean of 6 numbers is 21. When the number 28 is added to them, what is the new mean? (a) 24 (b) 23 (c) 21 (d) 22
  15. 15.The mean of 4 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 29 (b) 26 (c) 31 (d) 28
  16. 16.What is the mode of 1, 13, 6, 15, 15, 15 and 13? (a) 13 (b) 6 (c) 15 (d) 1
  17. 17.The mean of 8 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 34 (b) 37 (c) 36 (d) 43
  18. 18.What is the median of 28, 29, 26, 21 and 31? (a) 29 (b) 26 (c) 27 (d) 28
  19. 19.The mean of 4 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 38 (b) 34 (c) 44 (d) 39
  20. 20.What is the mode of 1, 17, 5, 3, 3, 1 and 3? (a) 3 (b) 17 (c) 1 (d) 5
  21. 21.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 25 (b) 22 (c) 13 (d) 21
  22. 22.The mean of 6 numbers is 23. When the number 9 is added to them, what is the new mean? (a) 16 (b) 21 (c) 23 (d) 22
  23. 23.The mean of 6 numbers is 32. When the number 60 is added to them, what is the new mean? (a) 37 (b) 32 (c) 36 (d) 46
  24. 24.What is the median of 22, 39, 18, 4, 6, 36 and 8? (a) 4 (b) 18 (c) 22 (d) 19
  25. 25.What is the mean of 4, 6, 7, 17 and 16? (a) 9 (b) 11 (c) 12 (d) 10
  26. 26.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 35 (b) 24 (c) 38 (d) 34
  27. 27.What is the mean of 14, 15, 20, 11 and 20? (a) 15 (b) 16 (c) 17 (d) 20
  28. 28.What is the mean of 6, 18, 5 and 7? (a) 8 (b) 10 (c) 12 (d) 9
  29. 29.The mean of 7 numbers is 22. When the number 54 is added to them, what is the new mean? (a) 22 (b) 38 (c) 27 (d) 26
  30. 30.What is the mean of 10, 9, 15 and 18? (a) 14 (b) 15 (c) 13 (d) 12
  31. 31.What is the mean of 6, 9, 18 and 11? (a) 13 (b) 11 (c) 10 (d) 12
  32. 32.What is the median of 23, 21, 37, 6, 27, 20 and 24? (a) 24 (b) 6 (c) 23 (d) 21
  33. 33.The mean of 8 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 36 (b) 45 (c) 39 (d) 38
  34. 34.What is the median of 39, 29, 28, 17 and 13? (a) 27 (b) 29 (c) 17 (d) 28
  35. 35.What is the median of 26, 24, 8, 37 and 12? (a) 24 (b) 8 (c) 26 (d) 12
  36. 36.The mean of 6 numbers is 33. When the number 40 is added to them, what is the new mean? (a) 35 (b) 36 (c) 34 (d) 33
  37. 37.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 18
  38. 38.What is the mode of 7, 19, 2, 3, 3, 7 and 3? (a) 3 (b) 2 (c) 19 (d) 7
  39. 39.The mean of 4 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 17 (b) 12 (c) 16 (d) 15
  40. 40.The mean of 4 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 31

Answer key

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

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