← 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 24 · 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 6 numbers is 14. When the number 21 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 14
  2. 2.What is the mode of 7, 19, 19, 7, 19, 5 and 1? (a) 1 (b) 7 (c) 19 (d) 5
  3. 3.The mean of 8 numbers is 30. When the number 21 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 31
  4. 4.What is the median of 12, 5, 10, 6, 4, 2 and 19? (a) 10 (b) 6 (c) 5 (d) 7
  5. 5.The mean of 8 numbers is 22. When the number 4 is added to them, what is the new mean? (a) 21 (b) 22 (c) 20 (d) 13
  6. 6.What is the mean of 2, 6, 13, 5, 18 and 4? (a) 7 (b) 9 (c) 8 (d) 10
  7. 7.What is the mean of 10, 17, 17, 9, 15 and 4? (a) 13 (b) 14 (c) 11 (d) 12
  8. 8.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 36 (b) 22 (c) 37 (d) 40
  9. 9.What is the mean of 2, 8, 6 and 12? (a) 6 (b) 7 (c) 8 (d) 9
  10. 10.What is the median of 39, 16, 15, 24, 29, 13 and 25? (a) 25 (b) 23 (c) 16 (d) 24
  11. 11.The mean of 8 numbers is 29. When the number 65 is added to them, what is the new mean? (a) 34 (b) 47 (c) 33 (d) 29
  12. 12.What is the mean of 10, 3, 6, 14, 11 and 4? (a) 10 (b) 8 (c) 9 (d) 7
  13. 13.What is the median of 18, 34, 35, 11, 9, 2 and 33? (a) 33 (b) 18 (c) 19 (d) 11
  14. 14.The mean of 6 numbers is 32. When the number 25 is added to them, what is the new mean? (a) 31 (b) 30 (c) 33 (d) 32
  15. 15.What is the mode of 1, 13, 20, 13, 20, 12 and 13? (a) 20 (b) 12 (c) 13 (d) 1
  16. 16.What is the mode of 13, 17, 4, 4, 2, 2 and 4? (a) 2 (b) 17 (c) 13 (d) 4
  17. 17.What is the mode of 5, 11, 1, 1, 5, 16 and 5? (a) 5 (b) 16 (c) 1 (d) 11
  18. 18.What is the mean of 9, 6, 6 and 11? (a) 8 (b) 10 (c) 7 (d) 9
  19. 19.The mean of 4 numbers is 29. When the number 44 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 29
  20. 20.What is the mean of 2, 20, 18, 18, 9 and 11? (a) 14 (b) 15 (c) 13 (d) 12
  21. 21.What is the mean of 14, 14, 11, 17, 2 and 14? (a) 12 (b) 11 (c) 13 (d) 14
  22. 22.What is the median of 11, 13, 10, 32 and 12? (a) 13 (b) 11 (c) 12 (d) 10
  23. 23.What is the mean of 11, 7, 4, 17, 15 and 12? (a) 13 (b) 11 (c) 12 (d) 10
  24. 24.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 17
  25. 25.What is the median of 29, 8, 6, 38 and 11? (a) 8 (b) 11 (c) 29 (d) 6
  26. 26.The mean of 9 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 29 (b) 30 (c) 33 (d) 28
  27. 27.What is the mean of 10, 2, 2, 20 and 6? (a) 8 (b) 10 (c) 9 (d) 7
  28. 28.What is the mean of 8, 20, 7, 19 and 16? (a) 15 (b) 14 (c) 16 (d) 13
  29. 29.The mean of 9 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 32 (b) 33 (c) 34 (d) 29
  30. 30.What is the mode of 12, 12, 13, 7, 17, 7 and 7? (a) 12 (b) 13 (c) 17 (d) 7
  31. 31.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 30 (b) 28 (c) 21 (d) 27
  32. 32.What is the mode of 15, 4, 15, 1, 8, 8 and 15? (a) 8 (b) 4 (c) 15 (d) 1
  33. 33.What is the median of 4, 12, 23, 1, 20, 19 and 14? (a) 14 (b) 1 (c) 19 (d) 12
  34. 34.The mean of 5 numbers is 11. When the number 5 is added to them, what is the new mean? (a) 8 (b) 11 (c) 10 (d) 9
  35. 35.What is the mean of 10, 9, 13 and 4? (a) 8 (b) 9 (c) 10 (d) 12
  36. 36.What is the mode of 10, 16, 8, 17, 8, 10 and 10? (a) 8 (b) 17 (c) 10 (d) 16
  37. 37.What is the mean of 9, 18, 3, 13, 7 and 22? (a) 13 (b) 14 (c) 11 (d) 12
  38. 38.What is the median of 35, 7, 11, 22, 3, 32 and 37? (a) 11 (b) 22 (c) 32 (d) 21
  39. 39.What is the mode of 18, 20, 6, 18, 20, 18 and 2? (a) 20 (b) 18 (c) 2 (d) 6
  40. 40.The mean of 9 numbers is 10. When the number 50 is added to them, what is the new mean? (a) 14 (b) 30 (c) 15 (d) 10

Answer key

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

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