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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 875 · 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 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 12 (b) 11 (c) 10 (d) 9
  2. 2.What is the mode of 7, 2, 17, 17, 20, 7 and 17? (a) 7 (b) 20 (c) 17 (d) 2
  3. 3.What is the mode of 15, 13, 10, 10, 10, 13 and 4? (a) 13 (b) 15 (c) 10 (d) 4
  4. 4.What is the mean of 15, 19, 7, 16, 10 and 5? (a) 13 (b) 14 (c) 11 (d) 12
  5. 5.What is the mean of 16, 17, 12, 4, 12 and 23? (a) 14 (b) 13 (c) 12 (d) 15
  6. 6.What is the mean of 14, 11, 7 and 20? (a) 14 (b) 15 (c) 13 (d) 12
  7. 7.What is the median of 1, 3, 24, 12 and 38? (a) 3 (b) 13 (c) 12 (d) 24
  8. 8.What is the mode of 14, 7, 2, 18, 18, 14 and 18? (a) 2 (b) 7 (c) 18 (d) 14
  9. 9.What is the mode of 15, 7, 9, 19, 15, 15 and 19? (a) 15 (b) 9 (c) 19 (d) 7
  10. 10.What is the median of 11, 17, 5, 40 and 7? (a) 17 (b) 16 (c) 5 (d) 11
  11. 11.What is the mode of 19, 6, 18, 18, 5, 18 and 19? (a) 19 (b) 5 (c) 18 (d) 6
  12. 12.What is the mode of 2, 2, 9, 8, 1, 9 and 2? (a) 8 (b) 1 (c) 2 (d) 9
  13. 13.What is the mean of 16, 5, 5, 20 and 19? (a) 15 (b) 14 (c) 13 (d) 12
  14. 14.What is the median of 14, 19, 9, 10 and 1? (a) 10 (b) 14 (c) 11 (d) 9
  15. 15.The mean of 7 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 34 (b) 26 (c) 29 (d) 28
  16. 16.What is the mode of 8, 16, 8, 5, 12, 16 and 16? (a) 8 (b) 5 (c) 12 (d) 16
  17. 17.The mean of 6 numbers is 18. When the number 25 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 18
  18. 18.The mean of 6 numbers is 18. When the number 4 is added to them, what is the new mean? (a) 18 (b) 16 (c) 11 (d) 17
  19. 19.What is the median of 25, 34, 35, 19 and 12? (a) 19 (b) 35 (c) 25 (d) 34
  20. 20.What is the mean of 14, 15, 5, 5, 2 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  21. 21.What is the mode of 14, 1, 10, 1, 1, 8 and 10? (a) 10 (b) 8 (c) 1 (d) 14
  22. 22.What is the mode of 10, 3, 14, 3, 10, 3 and 6? (a) 6 (b) 10 (c) 14 (d) 3
  23. 23.The mean of 3 numbers is 13. When the number 9 is added to them, what is the new mean? (a) 13 (b) 12 (c) 11 (d) 14
  24. 24.What is the mean of 6, 10, 6 and 18? (a) 8 (b) 11 (c) 10 (d) 9
  25. 25.What is the median of 30, 31, 6, 4 and 5? (a) 6 (b) 5 (c) 7 (d) 30
  26. 26.What is the median of 20, 37, 38, 36, 2, 21 and 10? (a) 22 (b) 20 (c) 36 (d) 21
  27. 27.What is the mean of 4, 14, 16, 20, 4 and 8? (a) 12 (b) 11 (c) 10 (d) 13
  28. 28.What is the mean of 14, 11, 8, 13 and 4? (a) 9 (b) 12 (c) 11 (d) 10
  29. 29.What is the mode of 20, 14, 11, 14, 14, 13 and 13? (a) 20 (b) 13 (c) 14 (d) 11
  30. 30.What is the mode of 5, 7, 16, 18, 16, 16 and 18? (a) 16 (b) 18 (c) 7 (d) 5
  31. 31.The mean of 3 numbers is 35. When the number 39 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 35
  32. 32.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 13
  33. 33.The mean of 7 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 19
  34. 34.The mean of 6 numbers is 24. When the number 38 is added to them, what is the new mean? (a) 27 (b) 26 (c) 24 (d) 31
  35. 35.The mean of 6 numbers is 22. When the number 43 is added to them, what is the new mean? (a) 26 (b) 24 (c) 22 (d) 25
  36. 36.The mean of 3 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 22 (b) 23 (c) 26 (d) 18
  37. 37.What is the mean of 16, 16, 18, 16 and 9? (a) 17 (b) 15 (c) 16 (d) 14
  38. 38.What is the mean of 5, 6, 19, 10 and 10? (a) 12 (b) 10 (c) 9 (d) 11
  39. 39.What is the mean of 17, 5, 2 and 20? (a) 13 (b) 12 (c) 10 (d) 11
  40. 40.What is the mean of 11, 4, 4, 4, 11 and 14? (a) 10 (b) 7 (c) 9 (d) 8

Answer key

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

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