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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 331 · 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 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 13 (b) 16 (c) 17 (d) 19
  2. 2.The mean of 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 14 (b) 16 (c) 11 (d) 15
  3. 3.What is the median of 23, 10, 7, 8 and 11? (a) 8 (b) 11 (c) 7 (d) 10
  4. 4.What is the median of 30, 9, 39, 13, 26, 24 and 2? (a) 26 (b) 13 (c) 25 (d) 24
  5. 5.What is the median of 38, 9, 28, 18 and 21? (a) 22 (b) 18 (c) 28 (d) 21
  6. 6.What is the mean of 9, 12, 9, 7 and 3? (a) 9 (b) 10 (c) 7 (d) 8
  7. 7.What is the mode of 12, 20, 18, 20, 7, 20 and 12? (a) 20 (b) 12 (c) 7 (d) 18
  8. 8.What is the mode of 13, 1, 9, 17, 9, 17 and 17? (a) 1 (b) 17 (c) 13 (d) 9
  9. 9.What is the median of 30, 23, 2, 38 and 39? (a) 23 (b) 2 (c) 30 (d) 38
  10. 10.What is the median of 33, 36, 7, 13 and 3? (a) 7 (b) 14 (c) 13 (d) 33
  11. 11.What is the mean of 17, 7, 14 and 10? (a) 16 (b) 11 (c) 13 (d) 12
  12. 12.The mean of 3 numbers is 22. When the number 18 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 23
  13. 13.What is the mode of 13, 16, 18, 6, 18, 18 and 13? (a) 16 (b) 13 (c) 18 (d) 6
  14. 14.The mean of 8 numbers is 40. When the number 67 is added to them, what is the new mean? (a) 43 (b) 40 (c) 44 (d) 42
  15. 15.What is the mode of 1, 9, 16, 16, 16, 2 and 1? (a) 1 (b) 9 (c) 16 (d) 2
  16. 16.What is the mean of 19, 18, 14 and 21? (a) 24 (b) 19 (c) 18 (d) 17
  17. 17.What is the mean of 3, 15, 14 and 12? (a) 11 (b) 13 (c) 12 (d) 10
  18. 18.The mean of 6 numbers is 31. When the number 38 is added to them, what is the new mean? (a) 33 (b) 34 (c) 31 (d) 32
  19. 19.The mean of 9 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 12 (b) 22 (c) 21 (d) 20
  20. 20.What is the median of 15, 26, 32, 14, 6, 30 and 34? (a) 14 (b) 30 (c) 26 (d) 15
  21. 21.What is the median of 19, 38, 6, 31, 28, 8 and 26? (a) 26 (b) 31 (c) 28 (d) 19
  22. 22.What is the median of 31, 3, 10, 33, 17, 35 and 8? (a) 33 (b) 31 (c) 17 (d) 10
  23. 23.What is the mode of 4, 6, 18, 20, 6, 18 and 18? (a) 4 (b) 18 (c) 20 (d) 6
  24. 24.What is the mode of 10, 15, 15, 10, 14, 15 and 11? (a) 14 (b) 11 (c) 10 (d) 15
  25. 25.What is the median of 3, 16, 15, 36, 25, 40 and 21? (a) 21 (b) 36 (c) 16 (d) 25
  26. 26.What is the mean of 19, 11, 9, 20 and 11? (a) 16 (b) 15 (c) 13 (d) 14
  27. 27.What is the mode of 5, 11, 6, 11, 6, 11 and 4? (a) 11 (b) 5 (c) 4 (d) 6
  28. 28.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 23
  29. 29.What is the mean of 15, 15, 9, 4, 12 and 23? (a) 13 (b) 12 (c) 15 (d) 14
  30. 30.The mean of 8 numbers is 16. When the number 43 is added to them, what is the new mean? (a) 18 (b) 20 (c) 16 (d) 19
  31. 31.What is the mode of 18, 2, 10, 18, 18, 15 and 10? (a) 18 (b) 2 (c) 10 (d) 15
  32. 32.What is the median of 15, 22, 20, 2 and 9? (a) 16 (b) 15 (c) 9 (d) 20
  33. 33.What is the median of 39, 6, 12, 30 and 25? (a) 26 (b) 12 (c) 30 (d) 25
  34. 34.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 34
  35. 35.What is the median of 38, 17, 39, 36, 24, 10 and 15? (a) 24 (b) 36 (c) 25 (d) 17
  36. 36.What is the mean of 9, 20, 4, 14, 7 and 6? (a) 11 (b) 12 (c) 10 (d) 9
  37. 37.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 11 (b) 12 (c) 14 (d) 13
  38. 38.What is the mode of 17, 8, 17, 15, 1, 1 and 1? (a) 17 (b) 8 (c) 15 (d) 1
  39. 39.What is the mean of 10, 9, 2 and 19? (a) 11 (b) 8 (c) 9 (d) 10
  40. 40.What is the mean of 4, 8, 2, 8, 3 and 11? (a) 6 (b) 7 (c) 8 (d) 5

Answer key

  1. 16
  2. 15
  3. 10
  4. 24
  5. 21
  6. 8
  7. 20
  8. 17
  9. 30
  10. 13
  11. 12
  12. 21
  13. 18
  14. 43
  15. 16
  16. 18
  17. 11
  18. 32
  19. 20
  20. 26
  21. 26
  22. 17
  23. 18
  24. 15
  25. 21
  26. 14
  27. 11
  28. 21
  29. 13
  30. 19
  31. 18
  32. 15
  33. 25
  34. 38
  35. 24
  36. 10
  37. 12
  38. 1
  39. 10
  40. 6

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