← 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 184 · 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 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 17 (b) 16 (c) 14 (d) 19
  2. 2.What is the median of 38, 6, 40, 28 and 5? (a) 6 (b) 28 (c) 38 (d) 40
  3. 3.What is the mean of 4, 11, 20 and 5? (a) 9 (b) 11 (c) 10 (d) 8
  4. 4.What is the mean of 2, 16, 4, 6, 14 and 12? (a) 8 (b) 10 (c) 9 (d) 11
  5. 5.What is the median of 18, 40, 7, 4, 33, 8 and 22? (a) 22 (b) 18 (c) 8 (d) 4
  6. 6.What is the mode of 9, 16, 20, 16, 20, 16 and 11? (a) 20 (b) 16 (c) 9 (d) 11
  7. 7.The mean of 4 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 25 (b) 26 (c) 27 (d) 22
  8. 8.The mean of 4 numbers is 10. When the number 20 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 15
  9. 9.What is the mean of 20, 6, 12, 8 and 24? (a) 13 (b) 14 (c) 16 (d) 15
  10. 10.What is the mean of 5, 14, 7, 8, 4 and 16? (a) 11 (b) 8 (c) 9 (d) 10
  11. 11.What is the mean of 10, 3, 4, 16, 19 and 8? (a) 9 (b) 10 (c) 11 (d) 12
  12. 12.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 13 (b) 15 (c) 16 (d) 17
  13. 13.What is the median of 11, 1, 28, 34, 32, 5 and 15? (a) 28 (b) 34 (c) 15 (d) 18
  14. 14.What is the mode of 18, 2, 18, 8, 8, 18 and 3? (a) 2 (b) 3 (c) 18 (d) 8
  15. 15.What is the mode of 17, 17, 17, 11, 12, 3 and 11? (a) 11 (b) 3 (c) 17 (d) 12
  16. 16.What is the median of 40, 32, 5, 10 and 2? (a) 5 (b) 32 (c) 10 (d) 11
  17. 17.What is the median of 24, 31, 19, 23, 12, 20 and 1? (a) 20 (b) 21 (c) 19 (d) 23
  18. 18.What is the mean of 6, 9, 19 and 6? (a) 9 (b) 8 (c) 11 (d) 10
  19. 19.What is the median of 38, 29, 3, 9 and 19? (a) 29 (b) 9 (c) 3 (d) 19
  20. 20.What is the mode of 10, 4, 16, 14, 14, 10 and 10? (a) 14 (b) 16 (c) 4 (d) 10
  21. 21.The mean of 8 numbers is 12. When the number 21 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 12
  22. 22.The mean of 9 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 41 (b) 38 (c) 37 (d) 36
  23. 23.What is the median of 6, 13, 10, 12 and 14? (a) 11 (b) 13 (c) 12 (d) 10
  24. 24.What is the mean of 2, 6, 13, 14 and 5? (a) 8 (b) 9 (c) 10 (d) 7
  25. 25.What is the mean of 15, 2, 7, 5 and 6? (a) 6 (b) 9 (c) 8 (d) 7
  26. 26.What is the mean of 18, 10, 5 and 15? (a) 13 (b) 16 (c) 11 (d) 12
  27. 27.The mean of 5 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 38 (b) 43 (c) 37 (d) 34
  28. 28.What is the mode of 19, 14, 19, 13, 13, 17 and 19? (a) 17 (b) 13 (c) 19 (d) 14
  29. 29.The mean of 5 numbers is 34. When the number 28 is added to them, what is the new mean? (a) 31 (b) 33 (c) 32 (d) 34
  30. 30.What is the median of 22, 40, 1, 23, 15, 10 and 16? (a) 23 (b) 16 (c) 15 (d) 22
  31. 31.What is the mode of 4, 1, 1, 6, 1, 6 and 2? (a) 1 (b) 4 (c) 2 (d) 6
  32. 32.What is the mode of 11, 13, 3, 13, 20, 20 and 20? (a) 3 (b) 11 (c) 20 (d) 13
  33. 33.What is the mode of 1, 16, 10, 16, 16, 10 and 4? (a) 1 (b) 4 (c) 10 (d) 16
  34. 34.What is the mode of 8, 19, 1, 14, 8, 8 and 1? (a) 19 (b) 1 (c) 8 (d) 14
  35. 35.What is the median of 34, 31, 16, 35 and 36? (a) 16 (b) 34 (c) 35 (d) 31
  36. 36.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 11 (b) 13 (c) 14 (d) 12
  37. 37.What is the mean of 6, 2, 2, 13, 3 and 10? (a) 7 (b) 6 (c) 8 (d) 5
  38. 38.What is the median of 23, 30, 1, 9, 4, 5 and 10? (a) 10 (b) 5 (c) 8 (d) 9
  39. 39.What is the mean of 7, 16, 10, 9 and 13? (a) 10 (b) 13 (c) 11 (d) 12
  40. 40.What is the median of 29, 23, 32, 12, 21, 11 and 10? (a) 22 (b) 23 (c) 21 (d) 12

Answer key

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

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