← 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 561 · 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 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 20 (b) 14 (c) 21 (d) 23
  2. 2.What is the median of 33, 10, 21, 29, 36, 4 and 5? (a) 21 (b) 10 (c) 22 (d) 29
  3. 3.What is the median of 6, 22, 16, 11 and 24? (a) 11 (b) 22 (c) 17 (d) 16
  4. 4.The mean of 3 numbers is 20. When the number 24 is added to them, what is the new mean? (a) 21 (b) 20 (c) 23 (d) 22
  5. 5.What is the mean of 14, 13, 8, 17, 5 and 15? (a) 11 (b) 12 (c) 13 (d) 14
  6. 6.What is the mode of 12, 1, 11, 11, 12, 5 and 12? (a) 1 (b) 5 (c) 11 (d) 12
  7. 7.What is the mean of 16, 12, 20 and 12? (a) 12 (b) 20 (c) 16 (d) 15
  8. 8.What is the median of 34, 12, 17, 9, 26, 8 and 20? (a) 20 (b) 9 (c) 18 (d) 17
  9. 9.What is the median of 32, 8, 20, 30 and 39? (a) 32 (b) 31 (c) 20 (d) 30
  10. 10.What is the mean of 13, 4, 12, 4 and 7? (a) 10 (b) 9 (c) 7 (d) 8
  11. 11.What is the mean of 18, 3, 10, 17, 12 and 12? (a) 13 (b) 11 (c) 12 (d) 14
  12. 12.What is the mean of 5, 2, 8, 20 and 10? (a) 8 (b) 11 (c) 10 (d) 9
  13. 13.The mean of 7 numbers is 38. When the number 62 is added to them, what is the new mean? (a) 50 (b) 38 (c) 41 (d) 42
  14. 14.What is the mode of 3, 15, 3, 3, 20, 1 and 1? (a) 20 (b) 15 (c) 3 (d) 1
  15. 15.The mean of 9 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 18 (b) 15 (c) 19 (d) 20
  16. 16.What is the median of 36, 27, 40, 25 and 13? (a) 25 (b) 27 (c) 40 (d) 36
  17. 17.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 36
  18. 18.The mean of 5 numbers is 26. When the number 44 is added to them, what is the new mean? (a) 35 (b) 29 (c) 26 (d) 30
  19. 19.What is the median of 3, 27, 26, 4, 6, 16 and 36? (a) 4 (b) 16 (c) 6 (d) 26
  20. 20.The mean of 3 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 12 (b) 18 (c) 15 (d) 16
  21. 21.What is the median of 5, 1, 20, 11, 40, 18 and 26? (a) 18 (b) 20 (c) 11 (d) 19
  22. 22.What is the mean of 10, 3, 20, 11 and 6? (a) 9 (b) 10 (c) 11 (d) 12
  23. 23.What is the mean of 20, 4, 14, 10, 18 and 24? (a) 16 (b) 14 (c) 18 (d) 15
  24. 24.What is the mode of 1, 3, 3, 7, 2, 1 and 1? (a) 7 (b) 2 (c) 1 (d) 3
  25. 25.What is the median of 8, 14, 30, 39, 33, 16 and 35? (a) 30 (b) 33 (c) 39 (d) 25
  26. 26.What is the median of 20, 34, 26, 22, 21, 14 and 39? (a) 23 (b) 21 (c) 26 (d) 22
  27. 27.What is the mode of 16, 6, 9, 9, 16, 4 and 16? (a) 9 (b) 4 (c) 16 (d) 6
  28. 28.The mean of 4 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 38 (b) 34 (c) 35 (d) 28
  29. 29.What is the mode of 15, 18, 9, 5, 15, 5 and 15? (a) 15 (b) 5 (c) 9 (d) 18
  30. 30.What is the median of 2, 16, 1, 10 and 37? (a) 2 (b) 1 (c) 10 (d) 16
  31. 31.What is the median of 28, 5, 13, 22, 38, 27 and 14? (a) 21 (b) 27 (c) 14 (d) 22
  32. 32.What is the median of 24, 8, 30, 5 and 16? (a) 24 (b) 30 (c) 16 (d) 8
  33. 33.What is the mean of 3, 14, 7, 4, 5 and 9? (a) 7 (b) 6 (c) 8 (d) 9
  34. 34.What is the mode of 3, 14, 14, 3, 7, 18 and 3? (a) 18 (b) 7 (c) 3 (d) 14
  35. 35.What is the median of 18, 38, 10, 35, 2, 6 and 9? (a) 35 (b) 9 (c) 10 (d) 18
  36. 36.What is the mean of 20, 20, 17, 7 and 21? (a) 16 (b) 19 (c) 17 (d) 18
  37. 37.What is the mode of 2, 11, 9, 11, 5, 2 and 2? (a) 2 (b) 9 (c) 5 (d) 11
  38. 38.What is the mean of 20, 4, 11, 20, 14 and 3? (a) 12 (b) 14 (c) 11 (d) 13
  39. 39.The mean of 8 numbers is 29. When the number 38 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 32
  40. 40.What is the median of 34, 5, 26, 6 and 22? (a) 22 (b) 26 (c) 23 (d) 6

Answer key

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

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