← Data handling: mean, median, mode lesson New set →

Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 966 · 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.What is the median of 26, 8, 21, 16 and 3? (a) 17 (b) 21 (c) 16 (d) 8
  2. 2.What is the mean of 13, 14, 2 and 15? (a) 13 (b) 11 (c) 10 (d) 12
  3. 3.The mean of 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 19
  4. 4.What is the median of 39, 19, 12, 34 and 36? (a) 36 (b) 28 (c) 34 (d) 12
  5. 5.What is the mean of 20, 4, 12, 20 and 14? (a) 14 (b) 16 (c) 15 (d) 13
  6. 6.What is the mode of 4, 6, 12, 12, 20, 4 and 4? (a) 6 (b) 12 (c) 4 (d) 20
  7. 7.The mean of 8 numbers is 38. When the number 11 is added to them, what is the new mean? (a) 38 (b) 36 (c) 35 (d) 34
  8. 8.What is the mean of 9, 9, 2, 15 and 10? (a) 10 (b) 11 (c) 9 (d) 8
  9. 9.What is the median of 34, 35, 9, 26 and 30? (a) 26 (b) 30 (c) 9 (d) 34
  10. 10.What is the median of 25, 35, 30, 8, 3, 1 and 23? (a) 25 (b) 24 (c) 23 (d) 8
  11. 11.What is the mean of 5, 10, 3, 18, 3 and 15? (a) 8 (b) 11 (c) 10 (d) 9
  12. 12.The mean of 4 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 33 (b) 35 (c) 32 (d) 30
  13. 13.The mean of 9 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 25 (b) 27 (c) 26 (d) 22
  14. 14.The mean of 4 numbers is 25. When the number 10 is added to them, what is the new mean? (a) 25 (b) 22 (c) 21 (d) 23
  15. 15.What is the median of 8, 1, 10, 17, 24, 28 and 25? (a) 18 (b) 17 (c) 24 (d) 10
  16. 16.What is the mean of 7, 10, 11, 18 and 14? (a) 13 (b) 10 (c) 15 (d) 12
  17. 17.What is the median of 2, 4, 27, 18, 26, 23 and 17? (a) 18 (b) 17 (c) 23 (d) 19
  18. 18.What is the mean of 8, 10, 12 and 18? (a) 13 (b) 16 (c) 12 (d) 11
  19. 19.What is the mean of 5, 13, 12 and 22? (a) 13 (b) 14 (c) 12 (d) 15
  20. 20.The mean of 3 numbers is 25. When the number 37 is added to them, what is the new mean? (a) 31 (b) 28 (c) 25 (d) 29
  21. 21.What is the median of 37, 26, 40, 39, 35, 12 and 11? (a) 35 (b) 37 (c) 39 (d) 26
  22. 22.The mean of 6 numbers is 39. When the number 53 is added to them, what is the new mean? (a) 42 (b) 46 (c) 41 (d) 39
  23. 23.What is the mean of 9, 9, 6, 8 and 18? (a) 11 (b) 9 (c) 10 (d) 12
  24. 24.What is the mode of 18, 18, 14, 14, 14, 11 and 4? (a) 11 (b) 4 (c) 18 (d) 14
  25. 25.The mean of 3 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 9
  26. 26.What is the mean of 11, 6, 17 and 22? (a) 13 (b) 15 (c) 14 (d) 16
  27. 27.What is the mean of 20, 12, 17, 4 and 17? (a) 13 (b) 16 (c) 14 (d) 15
  28. 28.What is the mean of 18, 10, 3, 4, 6 and 7? (a) 8 (b) 10 (c) 7 (d) 9
  29. 29.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 18 (b) 15 (c) 16 (d) 14
  30. 30.What is the mean of 12, 15, 5, 16 and 7? (a) 10 (b) 11 (c) 13 (d) 12
  31. 31.What is the mode of 13, 3, 4, 13, 17, 17 and 13? (a) 3 (b) 17 (c) 13 (d) 4
  32. 32.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 43 (b) 42 (c) 41 (d) 39
  33. 33.What is the mode of 18, 4, 9, 6, 6, 9 and 9? (a) 18 (b) 4 (c) 9 (d) 6
  34. 34.What is the median of 29, 33, 18, 22, 25, 39 and 40? (a) 22 (b) 25 (c) 29 (d) 33
  35. 35.What is the median of 2, 19, 25, 30 and 1? (a) 25 (b) 19 (c) 2 (d) 20
  36. 36.What is the mode of 5, 5, 12, 7, 7, 11 and 7? (a) 12 (b) 7 (c) 11 (d) 5
  37. 37.What is the mean of 3, 15, 15 and 11? (a) 10 (b) 12 (c) 11 (d) 13
  38. 38.The mean of 9 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 12 (b) 15 (c) 22 (d) 14
  39. 39.What is the mode of 19, 4, 4, 2, 4, 2 and 7? (a) 2 (b) 19 (c) 4 (d) 7
  40. 40.The mean of 9 numbers is 33. When the number 63 is added to them, what is the new mean? (a) 33 (b) 36 (c) 48 (d) 37

Answer key

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

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad