← 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 512 · 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 9 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 21 (b) 22 (c) 29 (d) 19
  2. 2.What is the mode of 17, 8, 16, 17, 9, 17 and 9? (a) 16 (b) 9 (c) 17 (d) 8
  3. 3.What is the mode of 15, 4, 4, 13, 4, 6 and 6? (a) 6 (b) 13 (c) 15 (d) 4
  4. 4.What is the mean of 16, 15, 8, 16, 3 and 20? (a) 14 (b) 12 (c) 15 (d) 13
  5. 5.The mean of 7 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 23 (b) 25 (c) 22 (d) 21
  6. 6.The mean of 7 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 21 (b) 15 (c) 13 (d) 16
  7. 7.What is the median of 38, 34, 9, 10 and 28? (a) 10 (b) 34 (c) 28 (d) 9
  8. 8.What is the mode of 10, 15, 15, 18, 19, 19 and 15? (a) 19 (b) 18 (c) 15 (d) 10
  9. 9.What is the median of 29, 8, 3, 23 and 15? (a) 3 (b) 23 (c) 8 (d) 15
  10. 10.What is the median of 6, 30, 28, 22, 18, 29 and 34? (a) 28 (b) 22 (c) 29 (d) 27
  11. 11.What is the median of 19, 15, 13, 37, 8, 4 and 9? (a) 9 (b) 13 (c) 37 (d) 15
  12. 12.What is the mode of 1, 1, 1, 7, 9, 7 and 18? (a) 9 (b) 1 (c) 18 (d) 7
  13. 13.What is the median of 1, 8, 28, 27 and 34? (a) 27 (b) 26 (c) 8 (d) 28
  14. 14.The mean of 5 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 33 (b) 36 (c) 27 (d) 34
  15. 15.What is the mode of 19, 10, 12, 12, 17, 17 and 12? (a) 12 (b) 19 (c) 10 (d) 17
  16. 16.The mean of 6 numbers is 14. When the number 7 is added to them, what is the new mean? (a) 13 (b) 15 (c) 14 (d) 12
  17. 17.What is the mean of 6, 11, 9 and 10? (a) 12 (b) 8 (c) 10 (d) 9
  18. 18.What is the median of 38, 26, 32, 8 and 13? (a) 32 (b) 27 (c) 26 (d) 13
  19. 19.What is the mean of 4, 18, 13, 11, 6 and 20? (a) 11 (b) 13 (c) 12 (d) 14
  20. 20.What is the mean of 6, 3, 2, 15 and 14? (a) 10 (b) 7 (c) 9 (d) 8
  21. 21.The mean of 4 numbers is 22. When the number 37 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 22
  22. 22.What is the median of 2, 4, 28, 21 and 3? (a) 4 (b) 21 (c) 3 (d) 28
  23. 23.The mean of 6 numbers is 14. When the number 42 is added to them, what is the new mean? (a) 14 (b) 28 (c) 19 (d) 18
  24. 24.What is the mode of 7, 1, 2, 2, 1, 14 and 1? (a) 2 (b) 14 (c) 7 (d) 1
  25. 25.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 17 (b) 20 (c) 18 (d) 15
  26. 26.What is the mean of 16, 11, 12, 2 and 14? (a) 12 (b) 10 (c) 13 (d) 11
  27. 27.What is the mean of 19, 4, 18, 6 and 8? (a) 10 (b) 13 (c) 12 (d) 11
  28. 28.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 24
  29. 29.What is the mode of 6, 4, 3, 4, 4, 5 and 5? (a) 3 (b) 6 (c) 5 (d) 4
  30. 30.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 13 (b) 12 (c) 11 (d) 14
  31. 31.What is the mean of 4, 4, 14, 18, 15 and 11? (a) 12 (b) 10 (c) 11 (d) 13
  32. 32.What is the mode of 17, 1, 8, 1, 8, 5 and 8? (a) 17 (b) 1 (c) 8 (d) 5
  33. 33.What is the mode of 12, 6, 12, 3, 12, 6 and 7? (a) 3 (b) 6 (c) 12 (d) 7
  34. 34.The mean of 6 numbers is 25. When the number 39 is added to them, what is the new mean? (a) 32 (b) 27 (c) 28 (d) 25
  35. 35.What is the mode of 2, 1, 7, 7, 1, 15 and 1? (a) 7 (b) 15 (c) 1 (d) 2
  36. 36.What is the mode of 14, 12, 11, 16, 16, 11 and 11? (a) 11 (b) 12 (c) 14 (d) 16
  37. 37.The mean of 5 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 39 (b) 33 (c) 30 (d) 34
  38. 38.What is the mean of 13, 12, 14, 12, 8 and 7? (a) 13 (b) 10 (c) 11 (d) 12
  39. 39.What is the mode of 9, 9, 13, 13, 18, 13 and 17? (a) 9 (b) 17 (c) 18 (d) 13
  40. 40.What is the mean of 3, 9, 18, 9, 18 and 21? (a) 14 (b) 13 (c) 12 (d) 15

Answer key

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

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