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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 255 · 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 6 numbers is 38. When the number 66 is added to them, what is the new mean? (a) 38 (b) 42 (c) 52 (d) 43
  2. 2.The mean of 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 20 (b) 21 (c) 14 (d) 23
  3. 3.What is the mean of 8, 13, 11, 9 and 14? (a) 11 (b) 13 (c) 12 (d) 10
  4. 4.What is the mode of 17, 8, 2, 8, 17, 17 and 5? (a) 2 (b) 5 (c) 8 (d) 17
  5. 5.What is the mean of 7, 2, 2, 7 and 12? (a) 6 (b) 8 (c) 7 (d) 5
  6. 6.What is the mean of 10, 12, 7 and 15? (a) 11 (b) 12 (c) 10 (d) 13
  7. 7.The mean of 9 numbers is 21. When the number 61 is added to them, what is the new mean? (a) 21 (b) 41 (c) 26 (d) 25
  8. 8.The mean of 3 numbers is 22. When the number 18 is added to them, what is the new mean? (a) 23 (b) 20 (c) 21 (d) 22
  9. 9.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 17
  10. 10.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 21 (b) 22 (c) 24 (d) 15
  11. 11.What is the mode of 5, 3, 11, 11, 11, 5 and 4? (a) 4 (b) 5 (c) 3 (d) 11
  12. 12.What is the mode of 7, 8, 7, 20, 7, 8 and 13? (a) 20 (b) 8 (c) 7 (d) 13
  13. 13.What is the mode of 5, 3, 3, 15, 1, 15 and 15? (a) 1 (b) 5 (c) 15 (d) 3
  14. 14.The mean of 3 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 18 (b) 17 (c) 14 (d) 20
  15. 15.What is the mode of 2, 1, 10, 10, 12, 1 and 1? (a) 1 (b) 10 (c) 2 (d) 12
  16. 16.What is the mode of 19, 14, 19, 16, 19, 12 and 12? (a) 12 (b) 16 (c) 14 (d) 19
  17. 17.The mean of 5 numbers is 11. When the number 5 is added to them, what is the new mean? (a) 8 (b) 11 (c) 9 (d) 10
  18. 18.What is the median of 20, 4, 1, 10 and 36? (a) 4 (b) 20 (c) 10 (d) 1
  19. 19.What is the median of 4, 10, 6, 22, 11, 2 and 23? (a) 6 (b) 10 (c) 11 (d) 22
  20. 20.What is the mean of 7, 13, 16, 15, 4 and 11? (a) 13 (b) 11 (c) 10 (d) 12
  21. 21.What is the mean of 14, 12, 20, 18, 3 and 5? (a) 12 (b) 14 (c) 13 (d) 11
  22. 22.What is the mean of 11, 4, 15 and 22? (a) 14 (b) 13 (c) 15 (d) 12
  23. 23.What is the mean of 17, 20, 20, 19 and 9? (a) 19 (b) 16 (c) 18 (d) 17
  24. 24.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 21
  25. 25.What is the mode of 1, 16, 1, 2, 18, 2 and 1? (a) 1 (b) 18 (c) 16 (d) 2
  26. 26.What is the mean of 4, 19, 15 and 14? (a) 15 (b) 12 (c) 14 (d) 13
  27. 27.The mean of 8 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 25 (b) 17 (c) 24 (d) 26
  28. 28.The mean of 6 numbers is 26. When the number 19 is added to them, what is the new mean? (a) 24 (b) 26 (c) 27 (d) 25
  29. 29.The mean of 9 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 29 (b) 19 (c) 28 (d) 27
  30. 30.What is the mean of 16, 13, 19, 2, 18 and 10? (a) 14 (b) 12 (c) 15 (d) 13
  31. 31.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 15
  32. 32.What is the median of 19, 31, 3, 29 and 6? (a) 3 (b) 29 (c) 6 (d) 19
  33. 33.What is the mode of 4, 14, 14, 4, 14, 19 and 2? (a) 2 (b) 4 (c) 14 (d) 19
  34. 34.What is the mode of 17, 1, 5, 17, 11, 17 and 11? (a) 17 (b) 11 (c) 1 (d) 5
  35. 35.What is the mode of 6, 6, 19, 15, 1, 15 and 6? (a) 19 (b) 1 (c) 15 (d) 6
  36. 36.What is the mode of 5, 8, 8, 8, 5, 6 and 16? (a) 16 (b) 6 (c) 5 (d) 8
  37. 37.What is the mean of 6, 15, 11 and 8? (a) 9 (b) 10 (c) 8 (d) 11
  38. 38.What is the mean of 17, 17, 12, 3 and 6? (a) 11 (b) 12 (c) 13 (d) 10
  39. 39.What is the mode of 3, 3, 2, 20, 2, 15 and 3? (a) 20 (b) 2 (c) 15 (d) 3
  40. 40.What is the median of 22, 40, 4, 21, 20, 3 and 8? (a) 8 (b) 21 (c) 19 (d) 20

Answer key

  1. 42
  2. 20
  3. 11
  4. 17
  5. 6
  6. 11
  7. 25
  8. 21
  9. 15
  10. 21
  11. 11
  12. 7
  13. 15
  14. 17
  15. 1
  16. 19
  17. 10
  18. 10
  19. 10
  20. 11
  21. 12
  22. 13
  23. 17
  24. 21
  25. 1
  26. 13
  27. 24
  28. 25
  29. 27
  30. 13
  31. 15
  32. 19
  33. 14
  34. 17
  35. 6
  36. 8
  37. 10
  38. 11
  39. 3
  40. 20

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