← 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 208 · 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 7 numbers is 33. When the number 1 is added to them, what is the new mean? (a) 33 (b) 29 (c) 30 (d) 17
  2. 2.What is the mode of 4, 2, 2, 7, 17, 7 and 7? (a) 4 (b) 7 (c) 17 (d) 2
  3. 3.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 18
  4. 4.What is the mode of 6, 6, 13, 6, 9, 13 and 12? (a) 13 (b) 12 (c) 9 (d) 6
  5. 5.What is the mean of 20, 19, 8 and 13? (a) 20 (b) 12 (c) 16 (d) 15
  6. 6.What is the mode of 9, 12, 8, 8, 8, 9 and 18? (a) 12 (b) 8 (c) 18 (d) 9
  7. 7.What is the median of 9, 15, 23, 39 and 33? (a) 15 (b) 33 (c) 23 (d) 24
  8. 8.The mean of 6 numbers is 34. When the number 6 is added to them, what is the new mean? (a) 34 (b) 30 (c) 31 (d) 20
  9. 9.What is the mode of 20, 9, 6, 6, 15, 6 and 9? (a) 6 (b) 15 (c) 20 (d) 9
  10. 10.What is the median of 14, 4, 28, 17, 19, 22 and 5? (a) 18 (b) 17 (c) 19 (d) 14
  11. 11.What is the mean of 12, 9, 7, 20, 13 and 23? (a) 13 (b) 12 (c) 14 (d) 15
  12. 12.What is the median of 21, 10, 17, 38, 15, 14 and 5? (a) 15 (b) 17 (c) 38 (d) 14
  13. 13.The mean of 4 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 26 (b) 28 (c) 25 (d) 23
  14. 14.What is the mean of 16, 4, 2, 15, 12 and 11? (a) 12 (b) 11 (c) 9 (d) 10
  15. 15.What is the mode of 1, 8, 4, 8, 6, 1 and 1? (a) 6 (b) 8 (c) 4 (d) 1
  16. 16.What is the mean of 3, 17, 17 and 19? (a) 16 (b) 15 (c) 13 (d) 14
  17. 17.The mean of 6 numbers is 31. When the number 3 is added to them, what is the new mean? (a) 28 (b) 27 (c) 17 (d) 31
  18. 18.What is the mean of 3, 11, 6 and 8? (a) 6 (b) 7 (c) 9 (d) 8
  19. 19.What is the mean of 5, 3, 17, 7 and 8? (a) 10 (b) 7 (c) 8 (d) 9
  20. 20.What is the mode of 10, 5, 10, 15, 9, 5 and 10? (a) 5 (b) 10 (c) 9 (d) 15
  21. 21.What is the mean of 20, 5, 8 and 19? (a) 14 (b) 15 (c) 13 (d) 12
  22. 22.What is the median of 2, 35, 11, 16, 30, 3 and 22? (a) 17 (b) 11 (c) 22 (d) 16
  23. 23.The mean of 3 numbers is 35. When the number 39 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 38
  24. 24.The mean of 6 numbers is 17. When the number 3 is added to them, what is the new mean? (a) 10 (b) 17 (c) 15 (d) 16
  25. 25.The mean of 5 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 37 (b) 43 (c) 38 (d) 34
  26. 26.The mean of 7 numbers is 23. When the number 55 is added to them, what is the new mean? (a) 39 (b) 28 (c) 27 (d) 23
  27. 27.What is the mode of 11, 8, 5, 5, 1, 5 and 11? (a) 8 (b) 5 (c) 11 (d) 1
  28. 28.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 36 (b) 37 (c) 35 (d) 34
  29. 29.The mean of 7 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 41 (b) 38 (c) 46 (d) 40
  30. 30.What is the mode of 4, 3, 4, 8, 14, 4 and 8? (a) 3 (b) 4 (c) 8 (d) 14
  31. 31.What is the median of 7, 20, 25, 23 and 22? (a) 22 (b) 25 (c) 23 (d) 20
  32. 32.What is the median of 22, 2, 15, 12 and 5? (a) 13 (b) 12 (c) 5 (d) 15
  33. 33.What is the median of 31, 25, 3, 28 and 6? (a) 28 (b) 6 (c) 25 (d) 3
  34. 34.The mean of 8 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 38 (b) 37 (c) 36 (d) 29
  35. 35.What is the mode of 9, 9, 12, 19, 4, 9 and 12? (a) 9 (b) 12 (c) 4 (d) 19
  36. 36.What is the mean of 20, 4, 5, 14 and 7? (a) 12 (b) 9 (c) 10 (d) 11
  37. 37.What is the mean of 18, 13, 9, 15, 8 and 21? (a) 12 (b) 13 (c) 14 (d) 15
  38. 38.What is the mean of 5, 13, 20, 4, 11 and 13? (a) 12 (b) 11 (c) 10 (d) 13
  39. 39.What is the mean of 17, 18, 16, 19 and 15? (a) 16 (b) 17 (c) 19 (d) 18
  40. 40.The mean of 9 numbers is 25. When the number 35 is added to them, what is the new mean? (a) 25 (b) 30 (c) 27 (d) 26

Answer key

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

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