← 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 649 · 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 5, 7, 6, 37 and 18? (a) 18 (b) 7 (c) 6 (d) 8
  2. 2.The mean of 5 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 23 (b) 22 (c) 26 (d) 14
  3. 3.What is the mode of 1, 7, 1, 18, 3, 3 and 3? (a) 18 (b) 3 (c) 7 (d) 1
  4. 4.What is the mean of 12, 6, 18 and 4? (a) 9 (b) 8 (c) 10 (d) 11
  5. 5.The mean of 7 numbers is 40. When the number 8 is added to them, what is the new mean? (a) 37 (b) 36 (c) 40 (d) 24
  6. 6.What is the median of 30, 10, 5, 9 and 37? (a) 30 (b) 5 (c) 10 (d) 9
  7. 7.What is the mode of 2, 11, 9, 12, 12, 9 and 12? (a) 9 (b) 2 (c) 11 (d) 12
  8. 8.What is the mean of 3, 5, 2 and 2? (a) 5 (b) 2 (c) 3 (d) 4
  9. 9.What is the mode of 5, 10, 19, 5, 10, 10 and 2? (a) 10 (b) 2 (c) 19 (d) 5
  10. 10.What is the median of 15, 1, 5, 38, 18, 9 and 17? (a) 15 (b) 38 (c) 9 (d) 17
  11. 11.What is the median of 14, 27, 37, 13, 10, 1 and 24? (a) 13 (b) 24 (c) 18 (d) 14
  12. 12.What is the mode of 1, 11, 17, 19, 1, 19 and 19? (a) 1 (b) 19 (c) 17 (d) 11
  13. 13.What is the mode of 12, 6, 1, 6, 9, 9 and 9? (a) 12 (b) 1 (c) 6 (d) 9
  14. 14.The mean of 5 numbers is 38. When the number 32 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 38
  15. 15.What is the mean of 13, 6, 20 and 13? (a) 12 (b) 14 (c) 13 (d) 15
  16. 16.What is the median of 2, 22, 25, 39, 23, 35 and 32? (a) 23 (b) 25 (c) 39 (d) 32
  17. 17.The mean of 6 numbers is 34. When the number 27 is added to them, what is the new mean? (a) 33 (b) 35 (c) 34 (d) 32
  18. 18.What is the mean of 4, 2, 7, 4 and 18? (a) 8 (b) 9 (c) 6 (d) 7
  19. 19.What is the median of 10, 2, 39, 22, 26, 11 and 30? (a) 20 (b) 11 (c) 26 (d) 22
  20. 20.What is the median of 37, 26, 1, 33 and 15? (a) 33 (b) 26 (c) 15 (d) 1
  21. 21.What is the mean of 17, 15, 9 and 7? (a) 11 (b) 13 (c) 16 (d) 12
  22. 22.The mean of 5 numbers is 32. When the number 26 is added to them, what is the new mean? (a) 29 (b) 31 (c) 32 (d) 30
  23. 23.What is the median of 10, 19, 13, 32, 21, 37 and 3? (a) 13 (b) 19 (c) 32 (d) 21
  24. 24.What is the mean of 2, 3, 19, 11 and 15? (a) 12 (b) 10 (c) 9 (d) 11
  25. 25.What is the median of 25, 26, 17, 2 and 23? (a) 17 (b) 24 (c) 25 (d) 23
  26. 26.What is the mode of 20, 2, 20, 8, 20, 9 and 8? (a) 20 (b) 2 (c) 9 (d) 8
  27. 27.What is the mean of 9, 14, 9 and 12? (a) 12 (b) 10 (c) 13 (d) 11
  28. 28.The mean of 6 numbers is 10. When the number 17 is added to them, what is the new mean? (a) 10 (b) 13 (c) 12 (d) 11
  29. 29.What is the mean of 11, 18, 20 and 15? (a) 18 (b) 16 (c) 17 (d) 15
  30. 30.What is the mode of 2, 5, 3, 3, 5, 9 and 5? (a) 5 (b) 9 (c) 3 (d) 2
  31. 31.What is the median of 35, 7, 32, 21, 2, 33 and 8? (a) 22 (b) 8 (c) 21 (d) 32
  32. 32.What is the median of 6, 5, 25, 38, 22, 35 and 30? (a) 23 (b) 25 (c) 30 (d) 38
  33. 33.What is the mean of 5, 5, 8, 10, 16 and 4? (a) 8 (b) 9 (c) 7 (d) 10
  34. 34.What is the mode of 15, 3, 18, 4, 18, 3 and 3? (a) 4 (b) 3 (c) 18 (d) 15
  35. 35.The mean of 9 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 20 (b) 17 (c) 22 (d) 21
  36. 36.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 9 (b) 16 (c) 15 (d) 14
  37. 37.What is the mode of 10, 13, 10, 13, 11, 10 and 2? (a) 13 (b) 11 (c) 10 (d) 2
  38. 38.What is the mean of 8, 2, 4, 14 and 17? (a) 8 (b) 11 (c) 9 (d) 10
  39. 39.What is the mode of 3, 17, 11, 17, 3, 17 and 12? (a) 12 (b) 17 (c) 3 (d) 11
  40. 40.What is the mode of 6, 2, 2, 6, 17, 2 and 15? (a) 17 (b) 15 (c) 2 (d) 6

Answer key

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

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