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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 413 · 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 8 numbers is 33. When the number 6 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 33
  2. 2.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 30 (b) 27 (c) 28 (d) 26
  3. 3.What is the mean of 17, 3, 20 and 16? (a) 15 (b) 13 (c) 14 (d) 16
  4. 4.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 9 (c) 13 (d) 12
  5. 5.What is the mean of 14, 5, 5, 13, 10 and 13? (a) 9 (b) 12 (c) 11 (d) 10
  6. 6.What is the median of 21, 25, 30, 22, 10, 33 and 26? (a) 22 (b) 24 (c) 25 (d) 26
  7. 7.What is the mean of 20, 4, 20, 2, 9 and 5? (a) 10 (b) 11 (c) 9 (d) 12
  8. 8.What is the median of 31, 40, 29, 20, 35, 26 and 9? (a) 26 (b) 31 (c) 29 (d) 20
  9. 9.What is the median of 10, 8, 12, 7 and 34? (a) 12 (b) 10 (c) 11 (d) 8
  10. 10.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 14 (b) 17 (c) 16 (d) 15
  11. 11.What is the mode of 19, 4, 20, 4, 11, 11 and 11? (a) 4 (b) 11 (c) 19 (d) 20
  12. 12.What is the mean of 6, 14, 7, 17 and 21? (a) 13 (b) 12 (c) 14 (d) 15
  13. 13.What is the mode of 6, 16, 14, 14, 16, 15 and 14? (a) 14 (b) 16 (c) 15 (d) 6
  14. 14.The mean of 8 numbers is 36. When the number 63 is added to them, what is the new mean? (a) 36 (b) 38 (c) 40 (d) 39
  15. 15.The mean of 6 numbers is 35. When the number 14 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 31
  16. 16.What is the mode of 10, 4, 2, 18, 18, 18 and 4? (a) 4 (b) 18 (c) 2 (d) 10
  17. 17.What is the mean of 20, 13, 19, 17, 7 and 20? (a) 15 (b) 16 (c) 17 (d) 18
  18. 18.What is the mean of 3, 12, 6, 12, 16 and 23? (a) 14 (b) 12 (c) 13 (d) 11
  19. 19.What is the mean of 4, 7, 5 and 20? (a) 10 (b) 8 (c) 12 (d) 9
  20. 20.What is the mean of 10, 10, 2 and 14? (a) 10 (b) 9 (c) 12 (d) 8
  21. 21.What is the mode of 2, 19, 5, 2, 2, 5 and 14? (a) 19 (b) 5 (c) 14 (d) 2
  22. 22.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 10
  23. 23.What is the median of 7, 1, 39, 28 and 10? (a) 17 (b) 39 (c) 28 (d) 10
  24. 24.What is the mode of 6, 2, 13, 6, 16, 16 and 6? (a) 2 (b) 13 (c) 6 (d) 16
  25. 25.What is the median of 28, 4, 22, 8, 23, 1 and 13? (a) 13 (b) 22 (c) 14 (d) 8
  26. 26.What is the mean of 7, 6, 6, 4, 9 and 16? (a) 10 (b) 9 (c) 8 (d) 7
  27. 27.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 19 (b) 14 (c) 21 (d) 20
  28. 28.What is the mode of 11, 9, 11, 9, 9, 5 and 13? (a) 11 (b) 9 (c) 13 (d) 5
  29. 29.What is the mode of 20, 17, 20, 19, 20, 15 and 15? (a) 17 (b) 15 (c) 19 (d) 20
  30. 30.What is the mean of 10, 8, 6, 10, 5 and 3? (a) 9 (b) 7 (c) 8 (d) 6
  31. 31.The mean of 8 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 18 (b) 11 (c) 20 (d) 19
  32. 32.What is the mode of 3, 8, 3, 4, 2, 4 and 3? (a) 2 (b) 4 (c) 3 (d) 8
  33. 33.What is the median of 37, 28, 40, 34 and 10? (a) 28 (b) 34 (c) 37 (d) 40
  34. 34.What is the mode of 10, 13, 18, 13, 1, 13 and 10? (a) 1 (b) 10 (c) 18 (d) 13
  35. 35.What is the mode of 5, 14, 14, 2, 6, 14 and 6? (a) 6 (b) 2 (c) 14 (d) 5
  36. 36.What is the mean of 12, 19, 7, 3, 16 and 9? (a) 10 (b) 13 (c) 12 (d) 11
  37. 37.What is the median of 27, 18, 33, 5 and 36? (a) 27 (b) 33 (c) 18 (d) 28
  38. 38.What is the mean of 19, 16, 6, 4 and 15? (a) 13 (b) 15 (c) 10 (d) 12
  39. 39.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 39 (b) 41 (c) 42 (d) 43
  40. 40.What is the mean of 2, 19, 20 and 15? (a) 14 (b) 13 (c) 15 (d) 16

Answer key

  1. 30
  2. 27
  3. 14
  4. 12
  5. 10
  6. 25
  7. 10
  8. 29
  9. 10
  10. 15
  11. 11
  12. 13
  13. 14
  14. 39
  15. 32
  16. 18
  17. 16
  18. 12
  19. 9
  20. 9
  21. 2
  22. 13
  23. 10
  24. 6
  25. 13
  26. 8
  27. 19
  28. 9
  29. 20
  30. 7
  31. 18
  32. 3
  33. 34
  34. 13
  35. 14
  36. 11
  37. 27
  38. 12
  39. 41
  40. 14

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