← 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 860 · 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 6 numbers is 17. When the number 10 is added to them, what is the new mean? (a) 17 (b) 18 (c) 15 (d) 16
  2. 2.What is the median of 33, 2, 35, 19, 1, 27 and 3? (a) 19 (b) 3 (c) 27 (d) 20
  3. 3.What is the median of 31, 38, 4, 23 and 11? (a) 31 (b) 11 (c) 4 (d) 23
  4. 4.What is the mode of 13, 5, 9, 19, 9, 9 and 5? (a) 19 (b) 13 (c) 9 (d) 5
  5. 5.What is the mean of 3, 6, 4 and 3? (a) 3 (b) 6 (c) 4 (d) 5
  6. 6.What is the mode of 16, 14, 9, 6, 6, 6 and 16? (a) 14 (b) 16 (c) 9 (d) 6
  7. 7.What is the median of 34, 22, 37, 9 and 12? (a) 22 (b) 37 (c) 34 (d) 12
  8. 8.What is the median of 34, 32, 16, 30 and 23? (a) 27 (b) 30 (c) 32 (d) 16
  9. 9.What is the mode of 2, 18, 16, 2, 16, 7 and 16? (a) 7 (b) 16 (c) 18 (d) 2
  10. 10.What is the mean of 5, 9, 16, 9, 19 and 20? (a) 15 (b) 14 (c) 13 (d) 12
  11. 11.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 18 (b) 19 (c) 15 (d) 17
  12. 12.What is the mean of 20, 6, 20, 20, 6 and 12? (a) 12 (b) 13 (c) 14 (d) 15
  13. 13.What is the median of 30, 31, 24, 12 and 8? (a) 30 (b) 12 (c) 21 (d) 24
  14. 14.The mean of 6 numbers is 24. When the number 52 is added to them, what is the new mean? (a) 38 (b) 24 (c) 28 (d) 29
  15. 15.What is the mode of 5, 15, 7, 14, 15, 7 and 7? (a) 15 (b) 5 (c) 7 (d) 14
  16. 16.What is the mean of 15, 13, 8 and 8? (a) 12 (b) 11 (c) 10 (d) 13
  17. 17.What is the mode of 4, 14, 20, 4, 14, 3 and 14? (a) 3 (b) 4 (c) 14 (d) 20
  18. 18.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 26 (b) 30 (c) 28 (d) 27
  19. 19.What is the mode of 9, 6, 6, 12, 1, 9 and 6? (a) 1 (b) 12 (c) 6 (d) 9
  20. 20.What is the median of 6, 9, 12, 21 and 10? (a) 12 (b) 9 (c) 11 (d) 10
  21. 21.The mean of 6 numbers is 31. When the number 3 is added to them, what is the new mean? (a) 28 (b) 17 (c) 27 (d) 31
  22. 22.The mean of 5 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 31 (b) 35 (c) 36 (d) 43
  23. 23.What is the mean of 5, 5, 2, 19, 13 and 4? (a) 7 (b) 10 (c) 9 (d) 8
  24. 24.What is the mean of 15, 3, 12 and 6? (a) 9 (b) 12 (c) 10 (d) 8
  25. 25.The mean of 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 36 (b) 35 (c) 32 (d) 34
  26. 26.What is the mode of 7, 6, 7, 16, 6, 7 and 14? (a) 16 (b) 6 (c) 14 (d) 7
  27. 27.What is the mean of 7, 20, 14 and 7? (a) 16 (b) 11 (c) 13 (d) 12
  28. 28.What is the mode of 14, 3, 16, 3, 7, 16 and 16? (a) 16 (b) 3 (c) 14 (d) 7
  29. 29.What is the median of 8, 7, 25, 18, 2, 21 and 20? (a) 18 (b) 8 (c) 20 (d) 19
  30. 30.What is the mean of 4, 10, 12, 9, 13 and 6? (a) 9 (b) 8 (c) 11 (d) 10
  31. 31.What is the median of 27, 16, 37, 38, 32, 35 and 1? (a) 38 (b) 27 (c) 32 (d) 35
  32. 32.What is the mean of 12, 12, 13 and 19? (a) 13 (b) 14 (c) 16 (d) 15
  33. 33.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 23 (b) 13 (c) 19 (d) 20
  34. 34.What is the mode of 8, 1, 9, 1, 8, 6 and 1? (a) 8 (b) 1 (c) 6 (d) 9
  35. 35.What is the median of 5, 11, 21, 32, 27, 37 and 17? (a) 27 (b) 21 (c) 17 (d) 32
  36. 36.What is the mode of 5, 15, 1, 1, 15, 3 and 1? (a) 3 (b) 15 (c) 1 (d) 5
  37. 37.What is the median of 24, 2, 3, 40, 14, 20 and 27? (a) 40 (b) 14 (c) 24 (d) 20
  38. 38.The mean of 5 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 25 (b) 28 (c) 24 (d) 22
  39. 39.What is the mean of 3, 6, 10, 17 and 24? (a) 12 (b) 13 (c) 10 (d) 15
  40. 40.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 17 (b) 14 (c) 19 (d) 16

Answer key

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

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