← 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 206 · 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 19, 2, 19, 12, 19, 12 and 4? (a) 2 (b) 19 (c) 12 (d) 4
  2. 2.What is the mode of 18, 10, 14, 10, 20, 14 and 10? (a) 20 (b) 14 (c) 10 (d) 18
  3. 3.What is the mode of 3, 14, 7, 14, 14, 8 and 3? (a) 3 (b) 8 (c) 14 (d) 7
  4. 4.The mean of 9 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 34 (b) 31 (c) 36 (d) 35
  5. 5.What is the mode of 9, 16, 18, 18, 9, 14 and 18? (a) 9 (b) 18 (c) 16 (d) 14
  6. 6.What is the mean of 16, 14, 10 and 8? (a) 16 (b) 11 (c) 13 (d) 12
  7. 7.What is the mode of 5, 3, 12, 5, 12, 12 and 18? (a) 12 (b) 5 (c) 3 (d) 18
  8. 8.What is the mean of 19, 19, 6, 3, 5 and 14? (a) 13 (b) 12 (c) 11 (d) 10
  9. 9.What is the mean of 3, 8, 6 and 15? (a) 8 (b) 7 (c) 9 (d) 10
  10. 10.What is the median of 20, 36, 10, 35 and 32? (a) 20 (b) 32 (c) 10 (d) 35
  11. 11.What is the mode of 2, 15, 11, 18, 2, 15 and 15? (a) 15 (b) 11 (c) 2 (d) 18
  12. 12.The mean of 5 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 31 (b) 30 (c) 29 (d) 25
  13. 13.What is the mean of 18, 18, 17 and 15? (a) 17 (b) 18 (c) 16 (d) 19
  14. 14.What is the mean of 11, 11, 2, 5 and 6? (a) 7 (b) 6 (c) 8 (d) 9
  15. 15.What is the mean of 16, 19, 18 and 23? (a) 18 (b) 20 (c) 19 (d) 21
  16. 16.What is the median of 8, 25, 36, 11, 1, 39 and 5? (a) 8 (b) 25 (c) 11 (d) 12
  17. 17.What is the mode of 8, 5, 7, 19, 5, 19 and 19? (a) 19 (b) 5 (c) 7 (d) 8
  18. 18.What is the mean of 3, 9, 2, 18, 17 and 11? (a) 12 (b) 11 (c) 10 (d) 9
  19. 19.What is the mode of 16, 19, 16, 17, 17, 17 and 11? (a) 17 (b) 11 (c) 19 (d) 16
  20. 20.The mean of 7 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 21 (b) 22 (c) 18 (d) 30
  21. 21.The mean of 5 numbers is 32. When the number 38 is added to them, what is the new mean? (a) 34 (b) 33 (c) 32 (d) 35
  22. 22.What is the mode of 4, 19, 11, 10, 19, 19 and 11? (a) 10 (b) 4 (c) 11 (d) 19
  23. 23.What is the mode of 9, 7, 1, 1, 1, 4 and 7? (a) 4 (b) 1 (c) 9 (d) 7
  24. 24.What is the mean of 11, 14, 18, 19 and 18? (a) 16 (b) 17 (c) 15 (d) 20
  25. 25.What is the mean of 5, 7, 17, 14 and 12? (a) 11 (b) 12 (c) 13 (d) 10
  26. 26.The mean of 7 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 19 (b) 22 (c) 21 (d) 23
  27. 27.What is the mode of 4, 20, 8, 20, 8, 12 and 20? (a) 8 (b) 4 (c) 12 (d) 20
  28. 28.What is the median of 13, 18, 28, 34 and 32? (a) 18 (b) 25 (c) 32 (d) 28
  29. 29.What is the median of 9, 8, 27, 36, 30, 12 and 34? (a) 12 (b) 30 (c) 36 (d) 27
  30. 30.What is the mode of 3, 16, 11, 7, 3, 3 and 7? (a) 3 (b) 7 (c) 11 (d) 16
  31. 31.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 12 (b) 10 (c) 14 (d) 13
  32. 32.The mean of 6 numbers is 16. When the number 23 is added to them, what is the new mean? (a) 17 (b) 19 (c) 16 (d) 18
  33. 33.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 31 (b) 32 (c) 34 (d) 28
  34. 34.What is the mode of 7, 2, 9, 20, 2, 20 and 20? (a) 20 (b) 9 (c) 2 (d) 7
  35. 35.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 20 (b) 21 (c) 24 (d) 19
  36. 36.The mean of 5 numbers is 26. When the number 20 is added to them, what is the new mean? (a) 23 (b) 25 (c) 26 (d) 24
  37. 37.What is the median of 26, 11, 22, 7, 5, 6 and 18? (a) 18 (b) 12 (c) 7 (d) 11
  38. 38.The mean of 6 numbers is 34. When the number 62 is added to them, what is the new mean? (a) 38 (b) 39 (c) 34 (d) 48
  39. 39.The mean of 7 numbers is 10. When the number 42 is added to them, what is the new mean? (a) 10 (b) 26 (c) 14 (d) 15
  40. 40.What is the median of 14, 12, 29, 6, 31, 15 and 36? (a) 15 (b) 29 (c) 14 (d) 6

Answer key

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

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