← 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 819 · 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 23. When the number 15 is added to them, what is the new mean? (a) 19 (b) 22 (c) 23 (d) 21
  2. 2.What is the mode of 10, 10, 14, 10, 1, 17 and 1? (a) 14 (b) 10 (c) 17 (d) 1
  3. 3.The mean of 8 numbers is 26. When the number 35 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 26
  4. 4.The mean of 3 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 14 (b) 18 (c) 15 (d) 10
  5. 5.What is the mode of 3, 3, 13, 17, 3, 1 and 1? (a) 17 (b) 1 (c) 13 (d) 3
  6. 6.What is the median of 1, 13, 21, 20, 26, 5 and 30? (a) 13 (b) 21 (c) 19 (d) 20
  7. 7.What is the median of 38, 25, 34, 9 and 18? (a) 34 (b) 26 (c) 18 (d) 25
  8. 8.The mean of 9 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 47 (b) 40 (c) 39 (d) 37
  9. 9.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 36 (b) 37 (c) 39 (d) 38
  10. 10.What is the median of 3, 4, 31, 36, 34, 39 and 26? (a) 34 (b) 26 (c) 31 (d) 36
  11. 11.What is the median of 18, 2, 22, 16, 21, 29 and 34? (a) 18 (b) 16 (c) 22 (d) 21
  12. 12.What is the mean of 5, 8, 12, 5 and 15? (a) 11 (b) 9 (c) 8 (d) 10
  13. 13.What is the median of 12, 26, 32, 1 and 23? (a) 12 (b) 32 (c) 26 (d) 23
  14. 14.What is the median of 17, 4, 2, 11 and 16? (a) 2 (b) 16 (c) 10 (d) 11
  15. 15.What is the mean of 7, 14, 3 and 20? (a) 13 (b) 12 (c) 11 (d) 10
  16. 16.What is the median of 25, 24, 5, 26, 16, 18 and 8? (a) 18 (b) 16 (c) 26 (d) 24
  17. 17.What is the mode of 19, 13, 2, 19, 6, 19 and 2? (a) 6 (b) 2 (c) 19 (d) 13
  18. 18.What is the mean of 9, 17, 5, 2, 14 and 7? (a) 8 (b) 10 (c) 9 (d) 11
  19. 19.What is the median of 24, 35, 4, 40 and 25? (a) 4 (b) 35 (c) 25 (d) 24
  20. 20.What is the mode of 20, 4, 6, 6, 4, 17 and 6? (a) 17 (b) 20 (c) 6 (d) 4
  21. 21.The mean of 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 22 (b) 17 (c) 19 (d) 20
  22. 22.What is the mean of 7, 8, 18, 6 and 6? (a) 11 (b) 8 (c) 10 (d) 9
  23. 23.What is the median of 33, 11, 6, 39, 5, 26 and 23? (a) 11 (b) 23 (c) 39 (d) 26
  24. 24.What is the mean of 17, 10, 17, 4, 12 and 6? (a) 11 (b) 10 (c) 12 (d) 13
  25. 25.What is the mode of 14, 11, 14, 11, 1, 6 and 11? (a) 1 (b) 11 (c) 14 (d) 6
  26. 26.What is the mode of 2, 4, 1, 4, 1, 13 and 4? (a) 13 (b) 4 (c) 2 (d) 1
  27. 27.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 32 (b) 28 (c) 29 (d) 22
  28. 28.What is the median of 5, 29, 18, 2, 17, 14 and 4? (a) 17 (b) 2 (c) 5 (d) 14
  29. 29.What is the mode of 18, 4, 6, 18, 4, 18 and 15? (a) 18 (b) 15 (c) 4 (d) 6
  30. 30.What is the mode of 11, 3, 5, 5, 16, 11 and 5? (a) 5 (b) 16 (c) 11 (d) 3
  31. 31.The mean of 7 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 9
  32. 32.What is the mean of 6, 9, 4, 18 and 8? (a) 8 (b) 9 (c) 10 (d) 11
  33. 33.What is the median of 15, 7, 20, 27, 37, 36 and 1? (a) 15 (b) 21 (c) 27 (d) 20
  34. 34.What is the median of 31, 26, 11, 7, 8, 37 and 23? (a) 11 (b) 26 (c) 23 (d) 7
  35. 35.What is the median of 16, 28, 20, 23 and 22? (a) 20 (b) 21 (c) 22 (d) 23
  36. 36.What is the median of 18, 38, 39, 10 and 31? (a) 18 (b) 39 (c) 31 (d) 38
  37. 37.What is the mode of 18, 14, 4, 16, 16, 16 and 14? (a) 16 (b) 4 (c) 14 (d) 18
  38. 38.What is the mean of 3, 9, 10, 13, 16 and 9? (a) 11 (b) 9 (c) 12 (d) 10
  39. 39.What is the mode of 6, 6, 17, 17, 13, 17 and 1? (a) 6 (b) 17 (c) 13 (d) 1
  40. 40.What is the median of 2, 25, 36, 24 and 11? (a) 36 (b) 11 (c) 25 (d) 24

Answer key

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

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