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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 474 · 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 38. When the number 28 is added to them, what is the new mean? (a) 37 (b) 36 (c) 38 (d) 33
  2. 2.What is the mode of 16, 2, 12, 12, 1, 2 and 2? (a) 12 (b) 1 (c) 16 (d) 2
  3. 3.What is the mean of 10, 3, 12 and 11? (a) 10 (b) 9 (c) 12 (d) 8
  4. 4.The mean of 8 numbers is 20. When the number 56 is added to them, what is the new mean? (a) 20 (b) 25 (c) 38 (d) 24
  5. 5.What is the mode of 11, 4, 13, 13, 5, 4 and 4? (a) 5 (b) 11 (c) 13 (d) 4
  6. 6.What is the mean of 10, 16, 5, 14, 4 and 11? (a) 10 (b) 11 (c) 12 (d) 9
  7. 7.What is the mode of 17, 10, 7, 10, 1, 1 and 10? (a) 7 (b) 17 (c) 1 (d) 10
  8. 8.What is the mode of 14, 4, 19, 7, 7, 14 and 14? (a) 4 (b) 14 (c) 7 (d) 19
  9. 9.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 34 (b) 23 (c) 22 (d) 18
  10. 10.What is the median of 5, 7, 33, 1 and 9? (a) 33 (b) 7 (c) 11 (d) 9
  11. 11.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 37
  12. 12.What is the median of 39, 2, 34, 38, 18, 28 and 7? (a) 18 (b) 28 (c) 34 (d) 38
  13. 13.What is the mode of 1, 1, 15, 2, 4, 4 and 4? (a) 2 (b) 1 (c) 15 (d) 4
  14. 14.The mean of 7 numbers is 37. When the number 13 is added to them, what is the new mean? (a) 25 (b) 37 (c) 35 (d) 34
  15. 15.The mean of 3 numbers is 23. When the number 19 is added to them, what is the new mean? (a) 23 (b) 24 (c) 21 (d) 22
  16. 16.What is the mode of 3, 3, 3, 6, 11, 11 and 12? (a) 11 (b) 6 (c) 12 (d) 3
  17. 17.The mean of 5 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 14 (b) 9 (c) 13 (d) 15
  18. 18.The mean of 9 numbers is 35. When the number 15 is added to them, what is the new mean? (a) 35 (b) 25 (c) 33 (d) 34
  19. 19.What is the mean of 14, 14, 10, 7 and 10? (a) 13 (b) 12 (c) 11 (d) 10
  20. 20.The mean of 4 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 24 (b) 23 (c) 27 (d) 17
  21. 21.What is the mean of 2, 10, 11, 5, 9 and 5? (a) 9 (b) 6 (c) 8 (d) 7
  22. 22.What is the mean of 11, 14, 3 and 16? (a) 13 (b) 11 (c) 12 (d) 10
  23. 23.What is the mean of 14, 20, 3, 9, 17 and 9? (a) 11 (b) 14 (c) 13 (d) 12
  24. 24.What is the median of 7, 17, 18, 14, 28, 13 and 5? (a) 14 (b) 17 (c) 15 (d) 13
  25. 25.What is the mean of 9, 18, 16 and 9? (a) 14 (b) 12 (c) 13 (d) 15
  26. 26.What is the mode of 17, 19, 17, 10, 17, 1 and 19? (a) 17 (b) 1 (c) 10 (d) 19
  27. 27.What is the mean of 3, 9, 2 and 6? (a) 5 (b) 6 (c) 7 (d) 4
  28. 28.What is the mean of 20, 17, 19, 13 and 11? (a) 15 (b) 20 (c) 17 (d) 16
  29. 29.The mean of 9 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 17 (b) 15 (c) 20 (d) 16
  30. 30.What is the mean of 11, 14, 8, 5, 10 and 18? (a) 12 (b) 10 (c) 13 (d) 11
  31. 31.What is the mean of 9, 6, 4 and 9? (a) 7 (b) 9 (c) 8 (d) 6
  32. 32.What is the median of 22, 11, 32, 40 and 1? (a) 11 (b) 32 (c) 23 (d) 22
  33. 33.What is the median of 40, 4, 25, 9, 17, 7 and 30? (a) 9 (b) 25 (c) 18 (d) 17
  34. 34.What is the mode of 19, 13, 19, 13, 1, 19 and 5? (a) 19 (b) 5 (c) 1 (d) 13
  35. 35.What is the mean of 5, 14, 2 and 23? (a) 13 (b) 10 (c) 11 (d) 12
  36. 36.What is the median of 25, 21, 16, 15 and 4? (a) 21 (b) 15 (c) 17 (d) 16
  37. 37.What is the median of 15, 5, 39, 26, 32, 30 and 37? (a) 31 (b) 30 (c) 32 (d) 26
  38. 38.What is the mode of 16, 18, 18, 14, 14, 18 and 11? (a) 14 (b) 11 (c) 18 (d) 16
  39. 39.What is the median of 23, 39, 24, 12 and 35? (a) 25 (b) 23 (c) 35 (d) 24
  40. 40.What is the mode of 12, 17, 12, 16, 12, 16 and 15? (a) 15 (b) 17 (c) 16 (d) 12

Answer key

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

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