← 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 98 · 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 15. When the number 25 is added to them, what is the new mean? (a) 20 (b) 16 (c) 17 (d) 15
  2. 2.The mean of 3 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 38 (b) 41 (c) 33 (d) 37
  3. 3.What is the mean of 2, 18, 18 and 22? (a) 16 (b) 20 (c) 15 (d) 12
  4. 4.What is the median of 22, 18, 4, 27 and 31? (a) 18 (b) 4 (c) 22 (d) 27
  5. 5.What is the mean of 18, 6, 2 and 22? (a) 16 (b) 13 (c) 11 (d) 12
  6. 6.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 11 (b) 8 (c) 12 (d) 10
  7. 7.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 24 (b) 23 (c) 17 (d) 25
  8. 8.What is the median of 13, 9, 36, 34 and 26? (a) 13 (b) 36 (c) 34 (d) 26
  9. 9.What is the median of 34, 32, 28, 5, 38, 16 and 22? (a) 32 (b) 28 (c) 25 (d) 5
  10. 10.What is the median of 20, 1, 19, 21, 27, 36 and 31? (a) 20 (b) 21 (c) 27 (d) 22
  11. 11.What is the mean of 11, 18, 18 and 9? (a) 13 (b) 16 (c) 15 (d) 14
  12. 12.What is the median of 14, 35, 16, 28, 5, 1 and 11? (a) 14 (b) 16 (c) 11 (d) 28
  13. 13.What is the mean of 4, 20, 20 and 20? (a) 15 (b) 16 (c) 17 (d) 18
  14. 14.What is the mean of 10, 10, 4, 5 and 16? (a) 10 (b) 8 (c) 11 (d) 9
  15. 15.What is the mode of 8, 9, 13, 9, 9, 8 and 17? (a) 17 (b) 13 (c) 9 (d) 8
  16. 16.What is the mean of 20, 2, 11 and 23? (a) 13 (b) 14 (c) 15 (d) 16
  17. 17.What is the mean of 4, 7, 6 and 19? (a) 10 (b) 9 (c) 8 (d) 12
  18. 18.What is the median of 13, 8, 11, 2 and 23? (a) 11 (b) 8 (c) 13 (d) 12
  19. 19.The mean of 4 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 13
  20. 20.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 32 (b) 29 (c) 31 (d) 35
  21. 21.What is the mean of 8, 7, 7, 16, 4 and 12? (a) 11 (b) 9 (c) 8 (d) 10
  22. 22.What is the median of 24, 1, 17, 23 and 25? (a) 17 (b) 18 (c) 23 (d) 24
  23. 23.What is the mean of 6, 3, 9 and 14? (a) 9 (b) 7 (c) 10 (d) 8
  24. 24.What is the mode of 1, 1, 1, 10, 6, 11 and 6? (a) 10 (b) 1 (c) 11 (d) 6
  25. 25.The mean of 7 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 23 (b) 22 (c) 20 (d) 24
  26. 26.What is the mode of 8, 5, 8, 5, 5, 2 and 1? (a) 1 (b) 5 (c) 2 (d) 8
  27. 27.What is the mode of 1, 12, 12, 1, 17, 12 and 19? (a) 1 (b) 12 (c) 19 (d) 17
  28. 28.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 25
  29. 29.What is the mode of 3, 16, 7, 3, 2, 16 and 3? (a) 3 (b) 16 (c) 7 (d) 2
  30. 30.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 8 (b) 14 (c) 12 (d) 11
  31. 31.What is the mode of 3, 12, 5, 14, 5, 12 and 12? (a) 5 (b) 14 (c) 12 (d) 3
  32. 32.The mean of 8 numbers is 14. When the number 23 is added to them, what is the new mean? (a) 14 (b) 17 (c) 15 (d) 16
  33. 33.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 19
  34. 34.What is the mode of 19, 13, 13, 2, 19, 19 and 17? (a) 13 (b) 17 (c) 19 (d) 2
  35. 35.What is the median of 10, 22, 15, 7 and 18? (a) 10 (b) 18 (c) 16 (d) 15
  36. 36.What is the mode of 3, 11, 11, 11, 3, 15 and 7? (a) 7 (b) 3 (c) 11 (d) 15
  37. 37.What is the mode of 10, 8, 15, 10, 9, 8 and 10? (a) 9 (b) 8 (c) 10 (d) 15
  38. 38.What is the median of 8, 23, 15, 38, 14, 29 and 26? (a) 38 (b) 26 (c) 23 (d) 15
  39. 39.The mean of 9 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 21
  40. 40.What is the median of 6, 5, 31, 19 and 26? (a) 19 (b) 31 (c) 6 (d) 26

Answer key

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

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