← 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 735 · 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 7 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 28 (b) 36 (c) 34 (d) 35
  2. 2.What is the median of 24, 10, 34, 11 and 29? (a) 24 (b) 34 (c) 11 (d) 29
  3. 3.What is the median of 34, 4, 29, 8 and 33? (a) 30 (b) 8 (c) 29 (d) 33
  4. 4.The mean of 7 numbers is 30. When the number 6 is added to them, what is the new mean? (a) 18 (b) 30 (c) 27 (d) 28
  5. 5.What is the median of 27, 18, 39, 15 and 24? (a) 27 (b) 39 (c) 18 (d) 24
  6. 6.What is the mode of 9, 6, 6, 9, 3, 12 and 9? (a) 12 (b) 6 (c) 3 (d) 9
  7. 7.What is the median of 40, 2, 24, 34, 8, 3 and 15? (a) 24 (b) 15 (c) 34 (d) 18
  8. 8.The mean of 6 numbers is 36. When the number 57 is added to them, what is the new mean? (a) 36 (b) 38 (c) 39 (d) 40
  9. 9.The mean of 9 numbers is 16. When the number 46 is added to them, what is the new mean? (a) 16 (b) 20 (c) 31 (d) 19
  10. 10.What is the mode of 19, 16, 2, 16, 5, 16 and 19? (a) 5 (b) 2 (c) 16 (d) 19
  11. 11.What is the mode of 11, 3, 11, 17, 11, 20 and 3? (a) 17 (b) 3 (c) 20 (d) 11
  12. 12.What is the mode of 16, 5, 7, 7, 17, 16 and 7? (a) 5 (b) 7 (c) 17 (d) 16
  13. 13.What is the mean of 12, 13, 20, 3, 10 and 14? (a) 11 (b) 12 (c) 14 (d) 13
  14. 14.The mean of 7 numbers is 30. When the number 54 is added to them, what is the new mean? (a) 34 (b) 42 (c) 33 (d) 30
  15. 15.What is the mean of 14, 7, 7, 5 and 7? (a) 8 (b) 10 (c) 7 (d) 9
  16. 16.What is the median of 2, 28, 22, 10, 34, 3 and 19? (a) 19 (b) 10 (c) 20 (d) 22
  17. 17.What is the median of 29, 17, 20, 19, 2, 8 and 36? (a) 19 (b) 17 (c) 18 (d) 20
  18. 18.What is the median of 13, 16, 32, 34, 15, 21 and 36? (a) 16 (b) 34 (c) 32 (d) 21
  19. 19.What is the mode of 20, 5, 1, 7, 1, 1 and 20? (a) 5 (b) 20 (c) 7 (d) 1
  20. 20.What is the mode of 17, 17, 3, 15, 3, 7 and 3? (a) 7 (b) 3 (c) 15 (d) 17
  21. 21.What is the mean of 18, 8, 2 and 8? (a) 9 (b) 12 (c) 8 (d) 10
  22. 22.What is the median of 11, 20, 3, 39 and 31? (a) 11 (b) 20 (c) 3 (d) 31
  23. 23.What is the mean of 6, 14, 11, 12, 10 and 13? (a) 10 (b) 12 (c) 13 (d) 11
  24. 24.The mean of 3 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 33 (b) 37 (c) 36 (d) 39
  25. 25.What is the median of 40, 15, 35, 14 and 24? (a) 24 (b) 15 (c) 35 (d) 25
  26. 26.What is the mean of 17, 11, 7 and 21? (a) 13 (b) 14 (c) 15 (d) 16
  27. 27.What is the mean of 3, 20, 9 and 4? (a) 12 (b) 8 (c) 10 (d) 9
  28. 28.What is the mean of 16, 19, 2, 19, 20 and 8? (a) 14 (b) 12 (c) 15 (d) 13
  29. 29.What is the median of 24, 29, 20, 9 and 26? (a) 24 (b) 25 (c) 26 (d) 20
  30. 30.The mean of 4 numbers is 32. When the number 17 is added to them, what is the new mean? (a) 29 (b) 32 (c) 30 (d) 28
  31. 31.What is the mean of 4, 17, 12, 10 and 22? (a) 14 (b) 12 (c) 13 (d) 15
  32. 32.What is the mode of 9, 20, 19, 10, 19, 20 and 19? (a) 19 (b) 10 (c) 9 (d) 20
  33. 33.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 30 (b) 16 (c) 21 (d) 20
  34. 34.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 40 (b) 43 (c) 42 (d) 47
  35. 35.What is the mode of 1, 5, 1, 16, 13, 5 and 5? (a) 16 (b) 5 (c) 13 (d) 1
  36. 36.What is the mean of 12, 2, 12, 16, 5 and 19? (a) 13 (b) 11 (c) 10 (d) 12
  37. 37.What is the mean of 12, 6, 12, 7, 10 and 25? (a) 14 (b) 13 (c) 11 (d) 12
  38. 38.What is the mean of 5, 6, 8, 6, 14 and 3? (a) 9 (b) 8 (c) 7 (d) 6
  39. 39.The mean of 4 numbers is 16. When the number 21 is added to them, what is the new mean? (a) 18 (b) 19 (c) 16 (d) 17
  40. 40.What is the mode of 14, 15, 3, 14, 14, 15 and 19? (a) 19 (b) 3 (c) 15 (d) 14

Answer key

  1. 34
  2. 24
  3. 29
  4. 27
  5. 24
  6. 9
  7. 15
  8. 39
  9. 19
  10. 16
  11. 11
  12. 7
  13. 12
  14. 33
  15. 8
  16. 19
  17. 19
  18. 21
  19. 1
  20. 3
  21. 9
  22. 20
  23. 11
  24. 36
  25. 24
  26. 14
  27. 9
  28. 14
  29. 24
  30. 29
  31. 13
  32. 19
  33. 20
  34. 42
  35. 5
  36. 11
  37. 12
  38. 7
  39. 17
  40. 14

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