← 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 680 · 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 mean of 2, 2, 18 and 10? (a) 8 (b) 10 (c) 7 (d) 9
  2. 2.What is the mean of 13, 17, 2, 11, 16 and 13? (a) 12 (b) 11 (c) 13 (d) 14
  3. 3.The mean of 6 numbers is 36. When the number 22 is added to them, what is the new mean? (a) 35 (b) 29 (c) 36 (d) 34
  4. 4.What is the mean of 10, 9, 19 and 10? (a) 11 (b) 16 (c) 12 (d) 13
  5. 5.What is the mean of 17, 12, 13, 2, 18 and 22? (a) 15 (b) 14 (c) 13 (d) 12
  6. 6.What is the median of 40, 22, 9, 33 and 34? (a) 33 (b) 22 (c) 9 (d) 34
  7. 7.What is the mode of 1, 13, 1, 12, 14, 12 and 1? (a) 14 (b) 1 (c) 12 (d) 13
  8. 8.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 25 (b) 26 (c) 23 (d) 27
  9. 9.What is the mode of 3, 10, 11, 11, 6, 10 and 10? (a) 10 (b) 6 (c) 3 (d) 11
  10. 10.What is the mode of 2, 4, 8, 2, 8, 9 and 2? (a) 8 (b) 4 (c) 9 (d) 2
  11. 11.What is the median of 30, 10, 2, 34 and 33? (a) 30 (b) 10 (c) 2 (d) 33
  12. 12.What is the mode of 6, 6, 7, 4, 4, 19 and 4? (a) 6 (b) 19 (c) 7 (d) 4
  13. 13.The mean of 8 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 34 (b) 35 (c) 41 (d) 32
  14. 14.What is the mode of 5, 1, 6, 5, 6, 5 and 3? (a) 6 (b) 5 (c) 3 (d) 1
  15. 15.What is the median of 40, 19, 9, 22 and 25? (a) 25 (b) 22 (c) 23 (d) 9
  16. 16.The mean of 7 numbers is 34. When the number 2 is added to them, what is the new mean? (a) 34 (b) 18 (c) 31 (d) 30
  17. 17.The mean of 4 numbers is 35. When the number 45 is added to them, what is the new mean? (a) 35 (b) 38 (c) 37 (d) 40
  18. 18.What is the mode of 12, 2, 2, 2, 4, 4 and 20? (a) 4 (b) 20 (c) 12 (d) 2
  19. 19.What is the mean of 4, 15, 14, 18 and 4? (a) 12 (b) 10 (c) 13 (d) 11
  20. 20.What is the mode of 14, 6, 8, 7, 6, 14 and 14? (a) 6 (b) 8 (c) 14 (d) 7
  21. 21.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 15 (b) 16 (c) 13 (d) 18
  22. 22.What is the median of 10, 7, 35, 3, 23, 39 and 8? (a) 8 (b) 3 (c) 10 (d) 23
  23. 23.The mean of 7 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 26
  24. 24.The mean of 3 numbers is 31. When the number 23 is added to them, what is the new mean? (a) 29 (b) 31 (c) 27 (d) 30
  25. 25.What is the mean of 20, 4, 4, 16, 8 and 14? (a) 13 (b) 11 (c) 12 (d) 10
  26. 26.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 19
  27. 27.The mean of 8 numbers is 16. When the number 52 is added to them, what is the new mean? (a) 34 (b) 21 (c) 16 (d) 20
  28. 28.What is the median of 37, 16, 38, 9, 13, 3 and 26? (a) 13 (b) 9 (c) 26 (d) 16
  29. 29.The mean of 7 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 25 (b) 30 (c) 24 (d) 22
  30. 30.What is the median of 28, 12, 19, 24, 11, 29 and 22? (a) 24 (b) 23 (c) 22 (d) 19
  31. 31.What is the mode of 7, 3, 12, 18, 12, 3 and 12? (a) 12 (b) 18 (c) 3 (d) 7
  32. 32.What is the median of 8, 10, 33, 17, 28, 15 and 20? (a) 15 (b) 17 (c) 20 (d) 18
  33. 33.What is the mean of 8, 13, 2, 4 and 3? (a) 5 (b) 7 (c) 6 (d) 8
  34. 34.What is the mode of 11, 18, 13, 18, 18, 13 and 9? (a) 13 (b) 18 (c) 11 (d) 9
  35. 35.What is the mean of 20, 18, 15, 17 and 5? (a) 16 (b) 17 (c) 14 (d) 15
  36. 36.What is the median of 32, 9, 4, 39 and 19? (a) 9 (b) 19 (c) 32 (d) 4
  37. 37.What is the mean of 15, 19, 8, 10 and 8? (a) 13 (b) 10 (c) 12 (d) 15
  38. 38.What is the mean of 13, 14, 17, 14 and 2? (a) 13 (b) 10 (c) 12 (d) 15
  39. 39.The mean of 5 numbers is 28. When the number 10 is added to them, what is the new mean? (a) 25 (b) 28 (c) 19 (d) 26
  40. 40.What is the mode of 9, 9, 4, 12, 8, 9 and 8? (a) 12 (b) 4 (c) 9 (d) 8

Answer key

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

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