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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 717 · 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 22. When the number 36 is added to them, what is the new mean? (a) 24 (b) 22 (c) 25 (d) 29
  2. 2.The mean of 4 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 8 (b) 12 (c) 13 (d) 11
  3. 3.What is the mode of 17, 13, 13, 6, 17, 17 and 5? (a) 13 (b) 5 (c) 17 (d) 6
  4. 4.What is the mean of 16, 7, 6, 15 and 16? (a) 12 (b) 10 (c) 15 (d) 13
  5. 5.What is the mean of 19, 18, 3, 7 and 3? (a) 9 (b) 12 (c) 11 (d) 10
  6. 6.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 11 (b) 15 (c) 21 (d) 16
  7. 7.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 34 (b) 33 (c) 31 (d) 32
  8. 8.What is the mode of 9, 10, 3, 9, 8, 3 and 3? (a) 9 (b) 8 (c) 10 (d) 3
  9. 9.What is the mode of 16, 7, 7, 16, 2, 7 and 5? (a) 16 (b) 2 (c) 7 (d) 5
  10. 10.The mean of 7 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 26 (b) 20 (c) 18 (d) 21
  11. 11.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 31 (b) 28 (c) 29 (d) 30
  12. 12.The mean of 3 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 20 (b) 22 (c) 19 (d) 16
  13. 13.What is the mode of 2, 11, 6, 18, 11, 18 and 11? (a) 11 (b) 6 (c) 2 (d) 18
  14. 14.What is the mean of 19, 5, 13 and 15? (a) 12 (b) 15 (c) 13 (d) 14
  15. 15.What is the median of 17, 9, 19, 26 and 7? (a) 18 (b) 9 (c) 19 (d) 17
  16. 16.What is the median of 31, 36, 12, 30, 35, 18 and 39? (a) 35 (b) 30 (c) 32 (d) 31
  17. 17.What is the mode of 11, 18, 11, 1, 19, 19 and 19? (a) 18 (b) 19 (c) 11 (d) 1
  18. 18.What is the mode of 18, 17, 3, 16, 3, 17 and 17? (a) 18 (b) 3 (c) 17 (d) 16
  19. 19.What is the mode of 3, 6, 10, 10, 3, 7 and 3? (a) 7 (b) 3 (c) 10 (d) 6
  20. 20.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 16 (b) 17 (c) 19 (d) 14
  21. 21.What is the mean of 8, 6, 6 and 12? (a) 9 (b) 8 (c) 7 (d) 10
  22. 22.The mean of 8 numbers is 18. When the number 45 is added to them, what is the new mean? (a) 22 (b) 20 (c) 18 (d) 21
  23. 23.What is the mode of 1, 10, 17, 1, 8, 1 and 17? (a) 1 (b) 8 (c) 10 (d) 17
  24. 24.What is the mode of 12, 17, 4, 12, 17, 12 and 3? (a) 12 (b) 3 (c) 4 (d) 17
  25. 25.What is the mean of 2, 11, 9, 15, 6 and 17? (a) 11 (b) 9 (c) 10 (d) 12
  26. 26.What is the mean of 8, 20, 16, 15, 18 and 7? (a) 13 (b) 12 (c) 14 (d) 15
  27. 27.What is the median of 38, 8, 1, 9 and 25? (a) 25 (b) 1 (c) 8 (d) 9
  28. 28.What is the median of 27, 21, 22, 40 and 10? (a) 22 (b) 24 (c) 27 (d) 21
  29. 29.What is the mode of 8, 3, 2, 19, 8, 19 and 8? (a) 19 (b) 2 (c) 3 (d) 8
  30. 30.What is the mode of 8, 6, 8, 8, 18, 14 and 14? (a) 6 (b) 14 (c) 18 (d) 8
  31. 31.What is the mean of 9, 2, 11, 10 and 18? (a) 12 (b) 10 (c) 11 (d) 9
  32. 32.What is the mean of 4, 13, 3 and 16? (a) 12 (b) 10 (c) 9 (d) 8
  33. 33.What is the median of 8, 40, 15, 20 and 29? (a) 15 (b) 20 (c) 21 (d) 29
  34. 34.What is the median of 25, 35, 5, 15, 10, 6 and 33? (a) 10 (b) 25 (c) 16 (d) 15
  35. 35.What is the mode of 1, 15, 1, 3, 15, 15 and 9? (a) 9 (b) 15 (c) 1 (d) 3
  36. 36.What is the median of 12, 26, 14, 33, 8, 25 and 1? (a) 14 (b) 25 (c) 17 (d) 33
  37. 37.What is the median of 20, 10, 30, 17, 22, 37 and 1? (a) 17 (b) 22 (c) 21 (d) 20
  38. 38.What is the median of 20, 39, 31, 25, 7, 26 and 24? (a) 26 (b) 24 (c) 27 (d) 25
  39. 39.The mean of 5 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 26 (b) 35 (c) 33 (d) 32
  40. 40.What is the mean of 20, 20, 12, 18, 2 and 18? (a) 15 (b) 16 (c) 14 (d) 18

Answer key

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

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