← 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 405 · 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 36. When the number 16 is added to them, what is the new mean? (a) 26 (b) 33 (c) 36 (d) 32
  2. 2.What is the mean of 7, 9, 10 and 10? (a) 12 (b) 10 (c) 8 (d) 9
  3. 3.What is the mean of 18, 4, 8, 18 and 7? (a) 10 (b) 13 (c) 11 (d) 12
  4. 4.What is the mean of 3, 17, 2, 17 and 21? (a) 15 (b) 12 (c) 10 (d) 13
  5. 5.What is the mean of 19, 18, 20 and 7? (a) 18 (b) 17 (c) 16 (d) 15
  6. 6.What is the mean of 15, 14, 5, 19, 16 and 9? (a) 13 (b) 12 (c) 15 (d) 14
  7. 7.The mean of 8 numbers is 14. When the number 23 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 17
  8. 8.The mean of 7 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 14 (b) 18 (c) 16 (d) 17
  9. 9.What is the median of 13, 26, 6, 8, 10, 9 and 40? (a) 16 (b) 13 (c) 8 (d) 10
  10. 10.What is the mode of 9, 10, 9, 10, 11, 6 and 10? (a) 10 (b) 9 (c) 11 (d) 6
  11. 11.What is the mode of 7, 19, 7, 16, 2, 19 and 7? (a) 16 (b) 2 (c) 19 (d) 7
  12. 12.What is the mean of 17, 3, 16 and 16? (a) 12 (b) 15 (c) 14 (d) 13
  13. 13.What is the mode of 8, 2, 3, 8, 3, 3 and 16? (a) 8 (b) 16 (c) 3 (d) 2
  14. 14.What is the mean of 15, 20, 11, 4 and 20? (a) 14 (b) 16 (c) 15 (d) 13
  15. 15.What is the median of 6, 34, 16, 21, 15, 10 and 7? (a) 10 (b) 15 (c) 21 (d) 16
  16. 16.What is the median of 28, 6, 7, 33 and 30? (a) 29 (b) 30 (c) 7 (d) 28
  17. 17.What is the mode of 1, 5, 5, 1, 13, 1 and 16? (a) 5 (b) 1 (c) 13 (d) 16
  18. 18.What is the median of 2, 5, 36, 23, 15, 8 and 32? (a) 23 (b) 8 (c) 16 (d) 15
  19. 19.What is the mean of 3, 8, 14 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  20. 20.What is the mode of 11, 5, 11, 7, 11, 18 and 5? (a) 18 (b) 5 (c) 11 (d) 7
  21. 21.What is the mean of 17, 11, 17, 19, 7 and 19? (a) 18 (b) 14 (c) 15 (d) 16
  22. 22.What is the median of 34, 3, 1, 25 and 27? (a) 27 (b) 25 (c) 18 (d) 1
  23. 23.What is the mode of 5, 12, 20, 20, 20, 12 and 16? (a) 12 (b) 16 (c) 5 (d) 20
  24. 24.What is the mode of 10, 10, 3, 13, 13, 13 and 18? (a) 3 (b) 18 (c) 10 (d) 13
  25. 25.What is the mean of 12, 10, 10 and 20? (a) 13 (b) 12 (c) 14 (d) 15
  26. 26.What is the mode of 9, 14, 9, 19, 19, 20 and 9? (a) 9 (b) 19 (c) 14 (d) 20
  27. 27.What is the mean of 8, 12, 14 and 18? (a) 15 (b) 12 (c) 13 (d) 14
  28. 28.What is the median of 7, 23, 31, 27 and 30? (a) 23 (b) 27 (c) 31 (d) 30
  29. 29.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 20 (b) 19 (c) 22 (d) 18
  30. 30.What is the mode of 18, 12, 12, 20, 20, 20 and 16? (a) 20 (b) 16 (c) 18 (d) 12
  31. 31.What is the mean of 6, 5, 11 and 14? (a) 12 (b) 10 (c) 9 (d) 8
  32. 32.The mean of 7 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 25 (b) 21 (c) 24 (d) 33
  33. 33.What is the mean of 8, 7, 13 and 8? (a) 9 (b) 10 (c) 12 (d) 8
  34. 34.What is the median of 38, 26, 32, 10 and 37? (a) 26 (b) 37 (c) 32 (d) 33
  35. 35.What is the mode of 13, 13, 8, 1, 20, 13 and 8? (a) 1 (b) 20 (c) 8 (d) 13
  36. 36.The mean of 8 numbers is 21. When the number 12 is added to them, what is the new mean? (a) 22 (b) 19 (c) 20 (d) 21
  37. 37.What is the median of 19, 30, 15, 10, 8, 40 and 36? (a) 10 (b) 15 (c) 19 (d) 30
  38. 38.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 16 (b) 15 (c) 17 (d) 13
  39. 39.What is the median of 18, 31, 22, 17, 33, 12 and 7? (a) 18 (b) 20 (c) 17 (d) 22
  40. 40.What is the mode of 4, 7, 11, 3, 11, 7 and 11? (a) 11 (b) 7 (c) 4 (d) 3

Answer key

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

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