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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 497 · 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 8 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 14
  2. 2.What is the mean of 4, 9, 4, 9 and 9? (a) 7 (b) 8 (c) 9 (d) 6
  3. 3.The mean of 7 numbers is 38. When the number 6 is added to them, what is the new mean? (a) 38 (b) 34 (c) 35 (d) 22
  4. 4.The mean of 9 numbers is 27. When the number 57 is added to them, what is the new mean? (a) 27 (b) 30 (c) 42 (d) 31
  5. 5.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 23 (b) 17 (c) 24 (d) 25
  6. 6.What is the median of 21, 34, 3, 18 and 7? (a) 7 (b) 18 (c) 3 (d) 21
  7. 7.What is the mode of 3, 6, 3, 16, 16, 3 and 17? (a) 17 (b) 6 (c) 16 (d) 3
  8. 8.The mean of 5 numbers is 38. When the number 32 is added to them, what is the new mean? (a) 38 (b) 35 (c) 37 (d) 36
  9. 9.The mean of 6 numbers is 32. When the number 46 is added to them, what is the new mean? (a) 34 (b) 35 (c) 32 (d) 39
  10. 10.What is the mean of 19, 20, 18 and 11? (a) 17 (b) 19 (c) 16 (d) 18
  11. 11.What is the median of 29, 8, 35, 1, 13, 18 and 34? (a) 13 (b) 29 (c) 18 (d) 1
  12. 12.What is the mean of 3, 11, 20 and 18? (a) 12 (b) 15 (c) 14 (d) 13
  13. 13.What is the median of 28, 14, 24, 38 and 17? (a) 24 (b) 28 (c) 25 (d) 17
  14. 14.The mean of 6 numbers is 25. When the number 32 is added to them, what is the new mean? (a) 25 (b) 28 (c) 27 (d) 26
  15. 15.What is the mode of 16, 18, 18, 17, 3, 3 and 3? (a) 16 (b) 18 (c) 3 (d) 17
  16. 16.What is the mode of 6, 6, 3, 17, 8, 6 and 8? (a) 8 (b) 6 (c) 17 (d) 3
  17. 17.What is the mode of 10, 9, 10, 10, 3, 9 and 2? (a) 10 (b) 9 (c) 2 (d) 3
  18. 18.What is the mean of 8, 4, 5, 4 and 9? (a) 7 (b) 6 (c) 5 (d) 8
  19. 19.The mean of 9 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 29 (b) 26 (c) 31 (d) 30
  20. 20.What is the mode of 11, 7, 1, 1, 13, 1 and 13? (a) 7 (b) 13 (c) 1 (d) 11
  21. 21.What is the median of 25, 39, 24, 26 and 8? (a) 26 (b) 24 (c) 25 (d) 27
  22. 22.What is the mode of 3, 20, 8, 20, 18, 20 and 3? (a) 18 (b) 8 (c) 20 (d) 3
  23. 23.What is the mean of 8, 8, 15, 7, 10 and 18? (a) 10 (b) 11 (c) 12 (d) 13
  24. 24.What is the mode of 1, 5, 1, 7, 15, 1 and 5? (a) 1 (b) 15 (c) 5 (d) 7
  25. 25.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 25
  26. 26.The mean of 6 numbers is 29. When the number 50 is added to them, what is the new mean? (a) 33 (b) 31 (c) 32 (d) 29
  27. 27.What is the median of 21, 25, 4, 23 and 24? (a) 23 (b) 4 (c) 24 (d) 21
  28. 28.What is the mode of 6, 7, 5, 6, 8, 7 and 6? (a) 6 (b) 5 (c) 7 (d) 8
  29. 29.The mean of 9 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 17 (b) 25 (c) 26 (d) 27
  30. 30.What is the median of 20, 38, 2, 4, 29, 18 and 19? (a) 19 (b) 18 (c) 20 (d) 4
  31. 31.What is the mean of 16, 15, 3, 13 and 13? (a) 10 (b) 13 (c) 12 (d) 15
  32. 32.What is the median of 3, 19, 11, 26 and 38? (a) 19 (b) 26 (c) 11 (d) 20
  33. 33.What is the mean of 13, 2, 12 and 9? (a) 8 (b) 12 (c) 9 (d) 10
  34. 34.What is the median of 1, 13, 5, 11, 30, 9 and 2? (a) 9 (b) 11 (c) 10 (d) 5
  35. 35.What is the mode of 5, 13, 13, 11, 8, 8 and 13? (a) 13 (b) 8 (c) 5 (d) 11
  36. 36.The mean of 5 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 40 (b) 39 (c) 36 (d) 45
  37. 37.The mean of 5 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 13
  38. 38.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 36 (b) 33 (c) 32 (d) 34
  39. 39.The mean of 5 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 30 (b) 26 (c) 31 (d) 32
  40. 40.What is the mode of 7, 9, 16, 9, 9, 5 and 16? (a) 16 (b) 5 (c) 9 (d) 7

Answer key

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

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