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

Answer key

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

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