← 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 165 · 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.What is the mode of 9, 14, 5, 5, 9, 20 and 9? (a) 5 (b) 20 (c) 14 (d) 9
  2. 2.The mean of 9 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 40 (b) 35 (c) 38 (d) 39
  3. 3.What is the median of 13, 18, 6, 27 and 11? (a) 6 (b) 18 (c) 13 (d) 15
  4. 4.What is the mean of 3, 3, 3, 2 and 14? (a) 5 (b) 6 (c) 4 (d) 7
  5. 5.What is the mean of 18, 18, 12 and 16? (a) 15 (b) 18 (c) 17 (d) 16
  6. 6.What is the mean of 14, 2, 8 and 12? (a) 12 (b) 10 (c) 8 (d) 9
  7. 7.What is the mean of 4, 10, 19, 13 and 9? (a) 10 (b) 12 (c) 11 (d) 13
  8. 8.What is the mean of 6, 7, 11, 20 and 6? (a) 9 (b) 11 (c) 10 (d) 12
  9. 9.What is the median of 17, 18, 22, 40, 11, 4 and 14? (a) 40 (b) 18 (c) 17 (d) 14
  10. 10.What is the median of 18, 17, 14, 6 and 40? (a) 18 (b) 14 (c) 19 (d) 17
  11. 11.What is the mean of 4, 19, 15, 11, 19 and 16? (a) 13 (b) 15 (c) 12 (d) 14
  12. 12.What is the mode of 3, 4, 1, 3, 4, 20 and 3? (a) 1 (b) 4 (c) 20 (d) 3
  13. 13.What is the mode of 20, 13, 4, 13, 7, 13 and 20? (a) 20 (b) 4 (c) 7 (d) 13
  14. 14.The mean of 3 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 22 (b) 26 (c) 23 (d) 18
  15. 15.The mean of 7 numbers is 36. When the number 68 is added to them, what is the new mean? (a) 40 (b) 52 (c) 41 (d) 36
  16. 16.What is the mean of 5, 11, 17, 9, 11 and 7? (a) 11 (b) 10 (c) 12 (d) 9
  17. 17.What is the median of 38, 25, 28, 11 and 10? (a) 25 (b) 28 (c) 26 (d) 11
  18. 18.What is the median of 4, 28, 10, 40 and 9? (a) 28 (b) 11 (c) 9 (d) 10
  19. 19.What is the median of 24, 8, 10, 34 and 20? (a) 21 (b) 10 (c) 24 (d) 20
  20. 20.What is the mode of 12, 18, 18, 5, 5, 20 and 5? (a) 20 (b) 12 (c) 5 (d) 18
  21. 21.What is the mode of 4, 1, 12, 12, 1, 19 and 12? (a) 19 (b) 1 (c) 12 (d) 4
  22. 22.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 28 (b) 31 (c) 32 (d) 33
  23. 23.What is the mode of 6, 1, 1, 20, 18, 1 and 20? (a) 6 (b) 1 (c) 18 (d) 20
  24. 24.The mean of 8 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 39 (b) 30 (c) 37 (d) 38
  25. 25.What is the median of 26, 25, 11, 36, 6, 19 and 5? (a) 11 (b) 19 (c) 36 (d) 25
  26. 26.What is the mode of 6, 5, 5, 5, 20, 6 and 17? (a) 20 (b) 6 (c) 17 (d) 5
  27. 27.What is the median of 6, 8, 12, 21 and 30? (a) 21 (b) 13 (c) 8 (d) 12
  28. 28.What is the mean of 15, 6, 5 and 14? (a) 8 (b) 9 (c) 10 (d) 11
  29. 29.The mean of 5 numbers is 32. When the number 38 is added to them, what is the new mean? (a) 32 (b) 34 (c) 33 (d) 35
  30. 30.What is the mean of 5, 7, 10 and 14? (a) 8 (b) 9 (c) 10 (d) 12
  31. 31.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 14 (b) 10 (c) 13 (d) 12
  32. 32.What is the mean of 7, 3, 7 and 3? (a) 5 (b) 7 (c) 4 (d) 6
  33. 33.What is the median of 32, 28, 29, 16, 5, 9 and 23? (a) 28 (b) 23 (c) 24 (d) 16
  34. 34.What is the mean of 4, 16, 12 and 4? (a) 9 (b) 8 (c) 10 (d) 12
  35. 35.The mean of 6 numbers is 34. When the number 48 is added to them, what is the new mean? (a) 41 (b) 37 (c) 34 (d) 36
  36. 36.What is the mode of 6, 18, 2, 19, 6, 19 and 19? (a) 19 (b) 6 (c) 18 (d) 2
  37. 37.What is the mean of 3, 3, 16, 19 and 19? (a) 10 (b) 13 (c) 15 (d) 12
  38. 38.What is the mode of 17, 1, 10, 10, 16, 1 and 10? (a) 10 (b) 1 (c) 17 (d) 16
  39. 39.What is the mode of 16, 14, 2, 18, 18, 16 and 18? (a) 14 (b) 18 (c) 16 (d) 2
  40. 40.The mean of 7 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 36 (b) 38 (c) 35 (d) 34

Answer key

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

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