← 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 629 · 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 26, 3, 33, 29, 15, 37 and 36? (a) 26 (b) 33 (c) 29 (d) 30
  2. 2.The mean of 6 numbers is 28. When the number 21 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 29
  3. 3.The mean of 9 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 24 (b) 27 (c) 29 (d) 28
  4. 4.What is the median of 1, 18, 39, 15 and 9? (a) 18 (b) 15 (c) 9 (d) 39
  5. 5.The mean of 7 numbers is 25. When the number 57 is added to them, what is the new mean? (a) 41 (b) 25 (c) 30 (d) 29
  6. 6.The mean of 6 numbers is 27. When the number 41 is added to them, what is the new mean? (a) 27 (b) 30 (c) 34 (d) 29
  7. 7.What is the median of 8, 2, 13, 36, 26, 22 and 9? (a) 13 (b) 22 (c) 36 (d) 9
  8. 8.What is the mean of 17, 7, 2, 20, 15 and 5? (a) 13 (b) 12 (c) 11 (d) 10
  9. 9.The mean of 8 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 28 (b) 30 (c) 29 (d) 21
  10. 10.The mean of 8 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 34 (b) 25 (c) 32 (d) 33
  11. 11.What is the median of 36, 19, 8, 9 and 40? (a) 8 (b) 19 (c) 9 (d) 36
  12. 12.What is the mean of 15, 17, 14, 17 and 17? (a) 17 (b) 16 (c) 20 (d) 15
  13. 13.What is the mode of 15, 19, 14, 19, 19, 4 and 15? (a) 15 (b) 4 (c) 19 (d) 14
  14. 14.What is the mean of 7, 2, 10, 7, 5 and 11? (a) 9 (b) 8 (c) 7 (d) 6
  15. 15.What is the median of 32, 30, 13, 8 and 15? (a) 16 (b) 13 (c) 15 (d) 30
  16. 16.What is the median of 24, 17, 21, 27, 14, 25 and 38? (a) 25 (b) 24 (c) 21 (d) 27
  17. 17.What is the mode of 8, 16, 6, 9, 9, 16 and 16? (a) 9 (b) 8 (c) 6 (d) 16
  18. 18.What is the median of 27, 19, 18, 6 and 1? (a) 19 (b) 6 (c) 18 (d) 17
  19. 19.What is the mean of 15, 11, 15 and 23? (a) 15 (b) 16 (c) 18 (d) 17
  20. 20.What is the mode of 13, 9, 9, 1, 13, 16 and 9? (a) 16 (b) 13 (c) 1 (d) 9
  21. 21.What is the mean of 15, 7, 2, 5, 14 and 11? (a) 10 (b) 9 (c) 8 (d) 11
  22. 22.What is the mode of 15, 11, 16, 15, 15, 20 and 16? (a) 15 (b) 11 (c) 20 (d) 16
  23. 23.The mean of 5 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 35 (b) 36 (c) 31 (d) 43
  24. 24.What is the mode of 18, 19, 11, 11, 11, 18 and 14? (a) 11 (b) 18 (c) 14 (d) 19
  25. 25.What is the mean of 14, 2, 15 and 21? (a) 12 (b) 15 (c) 13 (d) 14
  26. 26.What is the mean of 4, 7, 20 and 5? (a) 8 (b) 9 (c) 12 (d) 10
  27. 27.What is the mode of 9, 6, 9, 3, 12, 12 and 9? (a) 6 (b) 3 (c) 12 (d) 9
  28. 28.The mean of 3 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 41 (b) 44 (c) 40 (d) 36
  29. 29.What is the mean of 14, 7, 2 and 21? (a) 10 (b) 12 (c) 11 (d) 13
  30. 30.What is the mean of 17, 14, 20, 9 and 5? (a) 14 (b) 13 (c) 12 (d) 15
  31. 31.What is the mean of 19, 20, 3 and 22? (a) 16 (b) 18 (c) 17 (d) 15
  32. 32.The mean of 7 numbers is 35. When the number 3 is added to them, what is the new mean? (a) 31 (b) 35 (c) 32 (d) 19
  33. 33.What is the mean of 10, 7, 12, 6, 16 and 15? (a) 13 (b) 12 (c) 11 (d) 10
  34. 34.What is the median of 18, 39, 35, 40, 29, 33 and 11? (a) 33 (b) 29 (c) 40 (d) 35
  35. 35.The mean of 4 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 12 (b) 16 (c) 17 (d) 15
  36. 36.What is the median of 12, 25, 10, 5, 22, 17 and 27? (a) 22 (b) 5 (c) 12 (d) 17
  37. 37.What is the mean of 3, 5, 7, 5 and 10? (a) 8 (b) 7 (c) 6 (d) 5
  38. 38.What is the mode of 10, 6, 16, 6, 6, 16 and 12? (a) 10 (b) 6 (c) 12 (d) 16
  39. 39.What is the median of 24, 4, 1, 13, 40, 2 and 20? (a) 20 (b) 13 (c) 14 (d) 4
  40. 40.The mean of 9 numbers is 24. When the number 14 is added to them, what is the new mean? (a) 24 (b) 19 (c) 22 (d) 23

Answer key

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

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