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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 362 · 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 9 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 17 (b) 25 (c) 15 (d) 18
  2. 2.What is the median of 30, 2, 1, 17 and 11? (a) 1 (b) 11 (c) 17 (d) 2
  3. 3.What is the mode of 4, 3, 13, 4, 4, 14 and 13? (a) 14 (b) 4 (c) 13 (d) 3
  4. 4.What is the mean of 11, 5, 15, 8, 19 and 8? (a) 10 (b) 11 (c) 13 (d) 12
  5. 5.What is the mean of 10, 5, 3 and 14? (a) 10 (b) 8 (c) 7 (d) 9
  6. 6.What is the mode of 11, 3, 8, 2, 8, 3 and 8? (a) 11 (b) 8 (c) 3 (d) 2
  7. 7.The mean of 3 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 43 (b) 42 (c) 39 (d) 45
  8. 8.The mean of 7 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 28
  9. 9.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 43 (b) 39 (c) 42 (d) 41
  10. 10.What is the mean of 7, 12, 14, 12, 3 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  11. 11.The mean of 4 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 38 (b) 42 (c) 43 (d) 48
  12. 12.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 34 (b) 36 (c) 37 (d) 35
  13. 13.What is the median of 20, 24, 3, 17 and 26? (a) 18 (b) 3 (c) 24 (d) 20
  14. 14.What is the median of 13, 2, 30, 14, 9, 31 and 39? (a) 14 (b) 15 (c) 30 (d) 13
  15. 15.What is the mean of 14, 5, 7, 17, 4 and 19? (a) 12 (b) 13 (c) 10 (d) 11
  16. 16.What is the mean of 17, 8, 14, 19, 17 and 15? (a) 18 (b) 14 (c) 15 (d) 16
  17. 17.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 24 (b) 26 (c) 21 (d) 25
  18. 18.What is the median of 9, 10, 37, 2 and 40? (a) 9 (b) 10 (c) 11 (d) 37
  19. 19.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 22 (b) 24 (c) 21 (d) 23
  20. 20.What is the median of 14, 27, 30, 5 and 10? (a) 27 (b) 10 (c) 30 (d) 14
  21. 21.What is the mode of 8, 1, 1, 1, 9, 20 and 9? (a) 9 (b) 1 (c) 20 (d) 8
  22. 22.The mean of 8 numbers is 28. When the number 55 is added to them, what is the new mean? (a) 32 (b) 30 (c) 28 (d) 31
  23. 23.What is the median of 7, 1, 38, 32, 2, 40 and 27? (a) 21 (b) 7 (c) 27 (d) 32
  24. 24.The mean of 4 numbers is 33. When the number 18 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 33
  25. 25.The mean of 3 numbers is 37. When the number 33 is added to them, what is the new mean? (a) 37 (b) 36 (c) 35 (d) 38
  26. 26.What is the median of 23, 17, 15, 8, 30, 31 and 40? (a) 8 (b) 30 (c) 17 (d) 23
  27. 27.What is the median of 7, 9, 30, 2 and 21? (a) 9 (b) 30 (c) 7 (d) 21
  28. 28.What is the median of 10, 17, 16, 3, 5, 23 and 9? (a) 16 (b) 9 (c) 3 (d) 10
  29. 29.What is the median of 9, 7, 14, 1, 33, 37 and 21? (a) 1 (b) 9 (c) 14 (d) 21
  30. 30.The mean of 5 numbers is 33. When the number 39 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 33
  31. 31.What is the median of 34, 18, 28, 39, 7, 26 and 19? (a) 19 (b) 28 (c) 26 (d) 39
  32. 32.The mean of 8 numbers is 15. When the number 51 is added to them, what is the new mean? (a) 15 (b) 20 (c) 19 (d) 33
  33. 33.What is the mean of 13, 2, 14, 2 and 9? (a) 10 (b) 7 (c) 9 (d) 8
  34. 34.What is the mean of 6, 14, 8 and 4? (a) 10 (b) 9 (c) 8 (d) 7
  35. 35.The mean of 4 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 28 (b) 38 (c) 33 (d) 32
  36. 36.What is the mode of 13, 5, 13, 5, 6, 5 and 11? (a) 6 (b) 13 (c) 5 (d) 11
  37. 37.What is the mean of 5, 12, 13, 11, 6 and 13? (a) 9 (b) 12 (c) 11 (d) 10
  38. 38.What is the median of 6, 15, 25, 11 and 1? (a) 6 (b) 11 (c) 25 (d) 15
  39. 39.What is the mode of 6, 8, 18, 15, 15, 8 and 8? (a) 6 (b) 18 (c) 8 (d) 15
  40. 40.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 33 (b) 29 (c) 32 (d) 35

Answer key

  1. 17
  2. 11
  3. 4
  4. 11
  5. 8
  6. 8
  7. 42
  8. 25
  9. 41
  10. 9
  11. 42
  12. 35
  13. 20
  14. 14
  15. 11
  16. 15
  17. 25
  18. 10
  19. 22
  20. 14
  21. 1
  22. 31
  23. 27
  24. 30
  25. 36
  26. 23
  27. 9
  28. 10
  29. 14
  30. 34
  31. 26
  32. 19
  33. 8
  34. 8
  35. 32
  36. 5
  37. 10
  38. 11
  39. 8
  40. 32

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