← 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 993 · 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 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 20 (b) 16 (c) 19 (d) 18
  2. 2.What is the mean of 17, 14, 14, 3 and 7? (a) 13 (b) 10 (c) 12 (d) 11
  3. 3.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 29
  4. 4.What is the mean of 19, 10, 9, 15 and 22? (a) 14 (b) 16 (c) 15 (d) 17
  5. 5.What is the mean of 17, 19, 2, 6 and 16? (a) 15 (b) 12 (c) 13 (d) 10
  6. 6.What is the mode of 3, 3, 20, 20, 11, 3 and 4? (a) 11 (b) 20 (c) 3 (d) 4
  7. 7.What is the median of 29, 27, 7, 9, 26, 18 and 1? (a) 18 (b) 19 (c) 9 (d) 26
  8. 8.What is the mode of 10, 7, 10, 11, 4, 4 and 10? (a) 11 (b) 7 (c) 10 (d) 4
  9. 9.What is the mode of 4, 4, 4, 7, 16, 5 and 5? (a) 5 (b) 16 (c) 4 (d) 7
  10. 10.What is the mode of 5, 5, 17, 5, 17, 12 and 6? (a) 12 (b) 6 (c) 5 (d) 17
  11. 11.What is the median of 6, 13, 39, 8, 7, 18 and 25? (a) 13 (b) 18 (c) 14 (d) 8
  12. 12.What is the mode of 8, 4, 2, 8, 3, 2 and 2? (a) 8 (b) 3 (c) 4 (d) 2
  13. 13.The mean of 5 numbers is 26. When the number 50 is added to them, what is the new mean? (a) 38 (b) 26 (c) 31 (d) 30
  14. 14.What is the mode of 11, 10, 12, 16, 10, 11 and 10? (a) 11 (b) 16 (c) 12 (d) 10
  15. 15.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 22 (b) 21 (c) 17 (d) 27
  16. 16.The mean of 5 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 38 (b) 37 (c) 35 (d) 41
  17. 17.What is the mean of 19, 6, 10, 17 and 23? (a) 15 (b) 17 (c) 16 (d) 14
  18. 18.The mean of 5 numbers is 27. When the number 33 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 27
  19. 19.What is the median of 23, 8, 7, 13, 15, 34 and 38? (a) 13 (b) 15 (c) 23 (d) 16
  20. 20.The mean of 9 numbers is 14. When the number 44 is added to them, what is the new mean? (a) 18 (b) 17 (c) 29 (d) 14
  21. 21.The mean of 6 numbers is 10. When the number 38 is added to them, what is the new mean? (a) 15 (b) 10 (c) 14 (d) 24
  22. 22.What is the mode of 2, 9, 9, 9, 14, 2 and 4? (a) 9 (b) 14 (c) 2 (d) 4
  23. 23.The mean of 6 numbers is 27. When the number 55 is added to them, what is the new mean? (a) 27 (b) 32 (c) 41 (d) 31
  24. 24.What is the mode of 20, 20, 19, 9, 4, 9 and 9? (a) 4 (b) 19 (c) 9 (d) 20
  25. 25.What is the median of 16, 35, 36, 2, 38, 12 and 10? (a) 16 (b) 35 (c) 12 (d) 2
  26. 26.What is the mode of 6, 2, 2, 3, 3, 2 and 18? (a) 18 (b) 2 (c) 3 (d) 6
  27. 27.What is the mean of 20, 2, 9 and 9? (a) 11 (b) 8 (c) 9 (d) 10
  28. 28.What is the mode of 17, 17, 4, 2, 2, 17 and 6? (a) 17 (b) 4 (c) 6 (d) 2
  29. 29.What is the median of 11, 19, 14, 37, 15, 7 and 2? (a) 15 (b) 37 (c) 14 (d) 11
  30. 30.What is the median of 26, 13, 10, 3 and 9? (a) 9 (b) 11 (c) 10 (d) 13
  31. 31.What is the mean of 6, 14, 5, 14 and 21? (a) 13 (b) 10 (c) 12 (d) 15
  32. 32.What is the median of 15, 19, 10, 34 and 20? (a) 20 (b) 19 (c) 10 (d) 15
  33. 33.What is the mode of 19, 17, 17, 12, 20, 12 and 12? (a) 20 (b) 12 (c) 19 (d) 17
  34. 34.What is the mean of 12, 5, 15, 4 and 9? (a) 8 (b) 10 (c) 11 (d) 9
  35. 35.What is the median of 23, 35, 8, 1 and 17? (a) 8 (b) 18 (c) 23 (d) 17
  36. 36.What is the mode of 12, 3, 3, 9, 20, 12 and 3? (a) 20 (b) 9 (c) 3 (d) 12
  37. 37.The mean of 3 numbers is 40. When the number 36 is added to them, what is the new mean? (a) 38 (b) 40 (c) 41 (d) 39
  38. 38.What is the mean of 14, 16, 9, 7 and 4? (a) 11 (b) 12 (c) 10 (d) 9
  39. 39.What is the mean of 4, 6, 13, 13 and 14? (a) 9 (b) 10 (c) 12 (d) 11
  40. 40.What is the mean of 18, 17, 2 and 15? (a) 12 (b) 15 (c) 13 (d) 14

Answer key

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

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