← 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 755 · 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 9, 24, 5, 13 and 10? (a) 10 (b) 5 (c) 9 (d) 13
  2. 2.The mean of 7 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 39 (b) 38 (c) 41 (d) 37
  3. 3.The mean of 6 numbers is 38. When the number 45 is added to them, what is the new mean? (a) 41 (b) 38 (c) 40 (d) 39
  4. 4.What is the mean of 3, 15, 18, 12, 5 and 13? (a) 10 (b) 12 (c) 13 (d) 11
  5. 5.What is the mean of 3, 6, 19, 8, 19 and 23? (a) 12 (b) 13 (c) 15 (d) 14
  6. 6.The mean of 4 numbers is 23. When the number 43 is added to them, what is the new mean? (a) 23 (b) 33 (c) 27 (d) 28
  7. 7.What is the mode of 5, 19, 5, 20, 19, 8 and 19? (a) 19 (b) 20 (c) 8 (d) 5
  8. 8.What is the mode of 4, 15, 14, 16, 14, 14 and 16? (a) 16 (b) 4 (c) 15 (d) 14
  9. 9.What is the mode of 10, 18, 6, 18, 6, 14 and 18? (a) 14 (b) 18 (c) 6 (d) 10
  10. 10.What is the median of 28, 7, 1, 23 and 39? (a) 28 (b) 7 (c) 23 (d) 1
  11. 11.What is the mode of 7, 10, 4, 1, 10, 10 and 4? (a) 4 (b) 10 (c) 7 (d) 1
  12. 12.What is the mean of 9, 7, 18, 9 and 7? (a) 9 (b) 12 (c) 11 (d) 10
  13. 13.What is the mean of 8, 8, 13, 11 and 5? (a) 11 (b) 8 (c) 10 (d) 9
  14. 14.What is the mean of 14, 16, 18, 4, 12 and 8? (a) 12 (b) 11 (c) 14 (d) 13
  15. 15.What is the median of 16, 29, 12, 17 and 21? (a) 19 (b) 17 (c) 12 (d) 21
  16. 16.What is the mode of 2, 2, 5, 20, 20, 4 and 2? (a) 20 (b) 2 (c) 5 (d) 4
  17. 17.What is the mode of 2, 15, 17, 17, 8, 2 and 17? (a) 8 (b) 17 (c) 15 (d) 2
  18. 18.What is the median of 33, 12, 8, 6 and 27? (a) 8 (b) 27 (c) 12 (d) 13
  19. 19.The mean of 5 numbers is 36. When the number 48 is added to them, what is the new mean? (a) 36 (b) 39 (c) 38 (d) 42
  20. 20.What is the mean of 14, 14, 12 and 20? (a) 16 (b) 20 (c) 12 (d) 15
  21. 21.What is the mode of 9, 12, 1, 12, 20, 12 and 1? (a) 1 (b) 20 (c) 9 (d) 12
  22. 22.What is the mode of 2, 13, 14, 8, 13, 2 and 13? (a) 2 (b) 13 (c) 8 (d) 14
  23. 23.What is the median of 11, 30, 1, 17, 5, 13 and 22? (a) 14 (b) 17 (c) 13 (d) 11
  24. 24.The mean of 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 11
  25. 25.What is the mode of 7, 11, 20, 7, 5, 11 and 11? (a) 7 (b) 20 (c) 5 (d) 11
  26. 26.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 13 (b) 11 (c) 14 (d) 12
  27. 27.What is the mode of 8, 8, 7, 8, 10, 10 and 5? (a) 10 (b) 8 (c) 7 (d) 5
  28. 28.What is the median of 18, 9, 12, 25 and 14? (a) 12 (b) 15 (c) 14 (d) 18
  29. 29.What is the mean of 20, 9, 4 and 19? (a) 15 (b) 12 (c) 13 (d) 14
  30. 30.What is the mode of 6, 7, 6, 10, 13, 10 and 10? (a) 7 (b) 13 (c) 10 (d) 6
  31. 31.What is the median of 4, 25, 20, 39 and 34? (a) 26 (b) 34 (c) 20 (d) 25
  32. 32.The mean of 9 numbers is 35. When the number 5 is added to them, what is the new mean? (a) 33 (b) 20 (c) 32 (d) 35
  33. 33.What is the median of 14, 2, 37, 21 and 11? (a) 17 (b) 21 (c) 14 (d) 37
  34. 34.What is the median of 12, 23, 17, 31 and 2? (a) 17 (b) 18 (c) 23 (d) 12
  35. 35.What is the mean of 13, 5, 13 and 5? (a) 10 (b) 9 (c) 8 (d) 12
  36. 36.What is the mean of 16, 5, 14, 6 and 24? (a) 15 (b) 13 (c) 12 (d) 14
  37. 37.What is the mean of 12, 5, 16 and 3? (a) 10 (b) 9 (c) 12 (d) 8
  38. 38.The mean of 6 numbers is 36. When the number 22 is added to them, what is the new mean? (a) 29 (b) 35 (c) 34 (d) 36
  39. 39.What is the mode of 13, 16, 5, 16, 12, 16 and 5? (a) 16 (b) 5 (c) 12 (d) 13
  40. 40.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 21 (b) 18 (c) 17 (d) 13

Answer key

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

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