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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 821 · 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 13. When the number 23 is added to them, what is the new mean? (a) 18 (b) 13 (c) 16 (d) 15
  2. 2.What is the mean of 18, 10, 8, 16 and 3? (a) 12 (b) 13 (c) 11 (d) 10
  3. 3.The mean of 6 numbers is 22. When the number 8 is added to them, what is the new mean? (a) 21 (b) 20 (c) 15 (d) 22
  4. 4.What is the median of 26, 25, 33, 34 and 14? (a) 26 (b) 33 (c) 25 (d) 27
  5. 5.What is the mode of 16, 4, 5, 4, 20, 5 and 5? (a) 16 (b) 5 (c) 20 (d) 4
  6. 6.The mean of 3 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 20 (b) 14 (c) 17 (d) 18
  7. 7.The mean of 3 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 37 (b) 39 (c) 33 (d) 36
  8. 8.What is the median of 31, 7, 25, 9, 19, 12 and 13? (a) 12 (b) 19 (c) 9 (d) 13
  9. 9.The mean of 7 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 23 (b) 24 (c) 20 (d) 32
  10. 10.What is the median of 4, 33, 24, 16 and 39? (a) 24 (b) 25 (c) 33 (d) 16
  11. 11.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 27 (b) 25 (c) 23 (d) 24
  12. 12.What is the mode of 3, 1, 1, 10, 9, 10 and 1? (a) 3 (b) 1 (c) 9 (d) 10
  13. 13.What is the mode of 2, 1, 1, 5, 5, 9 and 1? (a) 1 (b) 9 (c) 5 (d) 2
  14. 14.The mean of 4 numbers is 13. When the number 28 is added to them, what is the new mean? (a) 15 (b) 17 (c) 13 (d) 16
  15. 15.The mean of 7 numbers is 30. When the number 54 is added to them, what is the new mean? (a) 30 (b) 33 (c) 42 (d) 34
  16. 16.The mean of 8 numbers is 37. When the number 73 is added to them, what is the new mean? (a) 42 (b) 37 (c) 41 (d) 55
  17. 17.What is the mean of 12, 18, 7, 10, 5 and 8? (a) 9 (b) 10 (c) 11 (d) 12
  18. 18.The mean of 3 numbers is 37. When the number 33 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 38
  19. 19.What is the median of 21, 11, 2, 38 and 37? (a) 37 (b) 21 (c) 11 (d) 2
  20. 20.What is the mean of 15, 5, 20 and 4? (a) 10 (b) 12 (c) 11 (d) 13
  21. 21.What is the mode of 2, 5, 15, 8, 2, 8 and 8? (a) 15 (b) 5 (c) 8 (d) 2
  22. 22.What is the median of 22, 20, 23, 34 and 27? (a) 24 (b) 23 (c) 22 (d) 27
  23. 23.What is the mean of 13, 17, 7, 19, 20 and 20? (a) 16 (b) 18 (c) 17 (d) 15
  24. 24.The mean of 5 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 12
  25. 25.What is the mode of 12, 13, 1, 17, 1, 1 and 13? (a) 13 (b) 17 (c) 1 (d) 12
  26. 26.What is the mode of 19, 18, 8, 4, 19, 8 and 8? (a) 8 (b) 18 (c) 4 (d) 19
  27. 27.What is the mode of 1, 7, 20, 20, 20, 7 and 8? (a) 8 (b) 1 (c) 20 (d) 7
  28. 28.What is the mode of 11, 14, 14, 14, 12, 9 and 11? (a) 9 (b) 11 (c) 12 (d) 14
  29. 29.What is the mode of 14, 6, 19, 19, 14, 2 and 19? (a) 6 (b) 19 (c) 2 (d) 14
  30. 30.What is the mean of 11, 14, 3 and 4? (a) 9 (b) 7 (c) 10 (d) 8
  31. 31.What is the median of 31, 32, 11, 29 and 26? (a) 29 (b) 11 (c) 26 (d) 31
  32. 32.What is the mean of 7, 16, 14, 2 and 11? (a) 10 (b) 11 (c) 9 (d) 12
  33. 33.The mean of 8 numbers is 30. When the number 3 is added to them, what is the new mean? (a) 30 (b) 27 (c) 26 (d) 28
  34. 34.The mean of 8 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 31 (b) 22 (c) 25 (d) 24
  35. 35.What is the median of 19, 2, 22, 4 and 9? (a) 4 (b) 22 (c) 9 (d) 19
  36. 36.The mean of 8 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 43 (b) 36 (c) 34 (d) 37
  37. 37.The mean of 5 numbers is 34. When the number 40 is added to them, what is the new mean? (a) 34 (b) 35 (c) 36 (d) 37
  38. 38.What is the mean of 17, 13, 20 and 10? (a) 15 (b) 20 (c) 16 (d) 12
  39. 39.What is the mean of 13, 6, 16, 20 and 15? (a) 14 (b) 13 (c) 15 (d) 16
  40. 40.What is the mean of 11, 13, 12, 8, 9 and 7? (a) 11 (b) 10 (c) 12 (d) 9

Answer key

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

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