← 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 335 · 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 15, 28, 19, 13, 5, 11 and 27? (a) 13 (b) 16 (c) 15 (d) 19
  2. 2.What is the mean of 19, 14, 3, 7 and 17? (a) 15 (b) 12 (c) 10 (d) 13
  3. 3.The mean of 8 numbers is 24. When the number 51 is added to them, what is the new mean? (a) 26 (b) 27 (c) 28 (d) 24
  4. 4.What is the median of 26, 20, 11, 35 and 38? (a) 20 (b) 11 (c) 26 (d) 35
  5. 5.What is the mean of 17, 3, 16, 3, 3 and 6? (a) 9 (b) 10 (c) 7 (d) 8
  6. 6.What is the mean of 6, 5, 17 and 12? (a) 9 (b) 10 (c) 11 (d) 8
  7. 7.What is the mode of 16, 19, 20, 8, 19, 16 and 16? (a) 20 (b) 8 (c) 19 (d) 16
  8. 8.What is the mode of 14, 11, 1, 1, 1, 19 and 11? (a) 14 (b) 1 (c) 19 (d) 11
  9. 9.What is the mode of 2, 17, 8, 2, 2, 8 and 11? (a) 8 (b) 2 (c) 17 (d) 11
  10. 10.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 23
  11. 11.What is the mean of 19, 19, 2, 17, 11 and 16? (a) 12 (b) 15 (c) 13 (d) 14
  12. 12.The mean of 4 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 34 (b) 30 (c) 35 (d) 40
  13. 13.What is the median of 32, 1, 36, 4, 17, 40 and 11? (a) 4 (b) 32 (c) 17 (d) 11
  14. 14.What is the median of 25, 9, 5, 13, 20, 4 and 39? (a) 9 (b) 13 (c) 14 (d) 20
  15. 15.What is the mean of 3, 11, 16 and 2? (a) 10 (b) 9 (c) 7 (d) 8
  16. 16.What is the median of 30, 34, 11, 22, 32, 38 and 5? (a) 22 (b) 30 (c) 31 (d) 32
  17. 17.What is the median of 38, 31, 37, 13, 19, 16 and 12? (a) 13 (b) 19 (c) 31 (d) 16
  18. 18.What is the mode of 4, 4, 4, 12, 7, 12 and 20? (a) 20 (b) 7 (c) 4 (d) 12
  19. 19.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 26 (b) 25 (c) 28 (d) 24
  20. 20.What is the mean of 18, 19, 9 and 18? (a) 17 (b) 15 (c) 16 (d) 18
  21. 21.What is the median of 18, 6, 12, 27, 20, 10 and 32? (a) 20 (b) 18 (c) 27 (d) 12
  22. 22.What is the mean of 18, 14, 17 and 19? (a) 18 (b) 17 (c) 16 (d) 19
  23. 23.What is the mean of 20, 15, 20, 13, 5 and 5? (a) 15 (b) 14 (c) 12 (d) 13
  24. 24.What is the median of 35, 6, 29, 11 and 4? (a) 6 (b) 11 (c) 17 (d) 29
  25. 25.What is the mean of 15, 4, 4, 7, 8 and 4? (a) 7 (b) 9 (c) 8 (d) 6
  26. 26.The mean of 7 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 20 (b) 21 (c) 26 (d) 18
  27. 27.What is the median of 4, 11, 20, 39, 38, 33 and 3? (a) 33 (b) 20 (c) 39 (d) 11
  28. 28.What is the mode of 13, 11, 13, 10, 7, 10 and 10? (a) 10 (b) 7 (c) 11 (d) 13
  29. 29.What is the mode of 12, 11, 12, 11, 2, 11 and 5? (a) 2 (b) 12 (c) 11 (d) 5
  30. 30.What is the mean of 4, 19, 7 and 10? (a) 9 (b) 10 (c) 11 (d) 8
  31. 31.What is the mean of 13, 2, 2, 6 and 22? (a) 9 (b) 10 (c) 8 (d) 11
  32. 32.The mean of 3 numbers is 33. When the number 29 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 33
  33. 33.The mean of 8 numbers is 19. When the number 10 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 17
  34. 34.What is the mode of 15, 13, 20, 20, 4, 13 and 13? (a) 13 (b) 20 (c) 15 (d) 4
  35. 35.What is the mean of 16, 2, 5, 2 and 5? (a) 6 (b) 7 (c) 5 (d) 8
  36. 36.What is the mean of 17, 6, 4, 12, 13 and 20? (a) 11 (b) 14 (c) 13 (d) 12
  37. 37.What is the mean of 10, 5, 3, 16, 3 and 5? (a) 6 (b) 8 (c) 7 (d) 9
  38. 38.What is the mode of 1, 13, 13, 1, 10, 9 and 13? (a) 13 (b) 9 (c) 1 (d) 10
  39. 39.What is the mode of 20, 17, 5, 20, 14, 5 and 5? (a) 14 (b) 17 (c) 20 (d) 5
  40. 40.The mean of 3 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 19 (b) 22 (c) 18 (d) 14

Answer key

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

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