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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 592 · 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 10. When the number 1 is added to them, what is the new mean? (a) 9 (b) 8 (c) 11 (d) 10
  2. 2.What is the mode of 3, 3, 3, 13, 4, 6 and 13? (a) 13 (b) 4 (c) 6 (d) 3
  3. 3.What is the mean of 16, 3, 13, 14 and 14? (a) 10 (b) 13 (c) 15 (d) 12
  4. 4.What is the median of 5, 34, 21, 25 and 12? (a) 25 (b) 22 (c) 12 (d) 21
  5. 5.What is the mode of 17, 17, 17, 1, 3, 2 and 3? (a) 1 (b) 2 (c) 3 (d) 17
  6. 6.What is the mode of 6, 20, 6, 4, 19, 20 and 6? (a) 6 (b) 19 (c) 20 (d) 4
  7. 7.What is the mode of 11, 13, 3, 3, 13, 3 and 12? (a) 12 (b) 13 (c) 11 (d) 3
  8. 8.The mean of 5 numbers is 28. When the number 34 is added to them, what is the new mean? (a) 30 (b) 29 (c) 31 (d) 28
  9. 9.What is the mean of 2, 18, 6, 16 and 8? (a) 12 (b) 9 (c) 11 (d) 10
  10. 10.The mean of 3 numbers is 28. When the number 20 is added to them, what is the new mean? (a) 24 (b) 28 (c) 26 (d) 27
  11. 11.What is the median of 3, 26, 30, 34 and 6? (a) 30 (b) 6 (c) 26 (d) 27
  12. 12.What is the mean of 8, 19, 19 and 10? (a) 13 (b) 16 (c) 14 (d) 15
  13. 13.What is the median of 1, 18, 30, 9, 2, 15 and 34? (a) 15 (b) 18 (c) 16 (d) 9
  14. 14.The mean of 7 numbers is 24. When the number 56 is added to them, what is the new mean? (a) 28 (b) 24 (c) 29 (d) 40
  15. 15.The mean of 7 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 27 (b) 35 (c) 23 (d) 26
  16. 16.The mean of 5 numbers is 26. When the number 44 is added to them, what is the new mean? (a) 29 (b) 30 (c) 35 (d) 26
  17. 17.What is the median of 32, 34, 14, 3 and 2? (a) 14 (b) 32 (c) 17 (d) 3
  18. 18.What is the mean of 2, 12, 9, 9 and 3? (a) 9 (b) 7 (c) 8 (d) 6
  19. 19.What is the median of 3, 22, 32, 11, 16, 23 and 39? (a) 16 (b) 11 (c) 23 (d) 22
  20. 20.What is the mean of 14, 19, 20, 8, 8 and 9? (a) 13 (b) 12 (c) 14 (d) 15
  21. 21.What is the mode of 19, 5, 14, 5, 5, 13 and 13? (a) 14 (b) 19 (c) 5 (d) 13
  22. 22.What is the mean of 6, 9, 14 and 23? (a) 15 (b) 12 (c) 14 (d) 13
  23. 23.What is the mean of 16, 5, 10, 10 and 14? (a) 10 (b) 12 (c) 13 (d) 11
  24. 24.The mean of 3 numbers is 29. When the number 33 is added to them, what is the new mean? (a) 31 (b) 32 (c) 29 (d) 30
  25. 25.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 25 (b) 26 (c) 29 (d) 21
  26. 26.The mean of 7 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 18 (b) 10 (c) 13 (d) 12
  27. 27.What is the mode of 7, 9, 7, 13, 7, 9 and 6? (a) 7 (b) 13 (c) 9 (d) 6
  28. 28.What is the median of 32, 31, 3, 11 and 7? (a) 7 (b) 3 (c) 31 (d) 11
  29. 29.What is the mean of 18, 14, 13, 12, 8 and 7? (a) 14 (b) 12 (c) 11 (d) 13
  30. 30.What is the mode of 14, 15, 4, 14, 14, 18 and 18? (a) 14 (b) 18 (c) 4 (d) 15
  31. 31.The mean of 9 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 31 (b) 34 (c) 35 (d) 36
  32. 32.What is the median of 4, 33, 7, 29, 28, 31 and 17? (a) 27 (b) 28 (c) 17 (d) 29
  33. 33.What is the mean of 5, 16, 4 and 11? (a) 12 (b) 10 (c) 8 (d) 9
  34. 34.The mean of 5 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 23 (b) 22 (c) 18 (d) 30
  35. 35.What is the mean of 3, 4, 5 and 16? (a) 9 (b) 8 (c) 7 (d) 6
  36. 36.What is the mean of 8, 12, 5 and 19? (a) 10 (b) 11 (c) 12 (d) 13
  37. 37.What is the median of 21, 20, 17, 4 and 24? (a) 17 (b) 21 (c) 19 (d) 20
  38. 38.The mean of 9 numbers is 37. When the number 77 is added to them, what is the new mean? (a) 37 (b) 41 (c) 42 (d) 57
  39. 39.What is the mode of 2, 7, 20, 7, 3, 2 and 2? (a) 20 (b) 7 (c) 2 (d) 3
  40. 40.What is the median of 11, 25, 7, 37, 30, 4 and 33? (a) 30 (b) 37 (c) 21 (d) 25

Answer key

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

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