← 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 8 · 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, 19, 8, 19, 3, 8 and 19? (a) 19 (b) 9 (c) 3 (d) 8
  2. 2.What is the mode of 16, 16, 16, 7, 14, 17 and 7? (a) 7 (b) 14 (c) 17 (d) 16
  3. 3.What is the mode of 15, 15, 1, 1, 1, 4 and 2? (a) 2 (b) 15 (c) 4 (d) 1
  4. 4.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 23 (b) 21 (c) 20 (d) 18
  5. 5.The mean of 3 numbers is 15. When the number 19 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 15
  6. 6.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 17 (b) 15 (c) 16 (d) 13
  7. 7.What is the median of 6, 8, 12, 31 and 30? (a) 13 (b) 12 (c) 30 (d) 8
  8. 8.What is the mean of 11, 16, 15, 2 and 6? (a) 9 (b) 12 (c) 11 (d) 10
  9. 9.What is the median of 18, 5, 32, 21, 23, 26 and 38? (a) 26 (b) 21 (c) 24 (d) 23
  10. 10.What is the mode of 19, 16, 10, 10, 19, 20 and 10? (a) 19 (b) 16 (c) 10 (d) 20
  11. 11.What is the mode of 7, 7, 10, 10, 5, 10 and 13? (a) 7 (b) 13 (c) 5 (d) 10
  12. 12.What is the median of 1, 21, 18, 26 and 22? (a) 20 (b) 18 (c) 21 (d) 22
  13. 13.The mean of 7 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 35 (b) 36 (c) 39 (d) 37
  14. 14.What is the mode of 5, 7, 2, 7, 13, 7 and 5? (a) 13 (b) 2 (c) 7 (d) 5
  15. 15.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 13 (b) 10 (c) 14 (d) 12
  16. 16.What is the mode of 10, 2, 5, 8, 5, 8 and 5? (a) 8 (b) 10 (c) 5 (d) 2
  17. 17.What is the mean of 3, 6, 4, 20 and 17? (a) 11 (b) 10 (c) 12 (d) 9
  18. 18.The mean of 7 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 32 (b) 36 (c) 35 (d) 44
  19. 19.The mean of 3 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 37 (b) 40 (c) 36 (d) 32
  20. 20.The mean of 6 numbers is 24. When the number 10 is added to them, what is the new mean? (a) 23 (b) 17 (c) 24 (d) 22
  21. 21.What is the mean of 14, 20, 11, 11 and 14? (a) 13 (b) 15 (c) 14 (d) 16
  22. 22.What is the mean of 3, 2, 10, 13, 7 and 7? (a) 9 (b) 8 (c) 7 (d) 6
  23. 23.The mean of 4 numbers is 23. When the number 43 is added to them, what is the new mean? (a) 23 (b) 28 (c) 27 (d) 33
  24. 24.What is the median of 34, 11, 32, 38 and 29? (a) 33 (b) 32 (c) 29 (d) 34
  25. 25.What is the mean of 13, 5, 7 and 19? (a) 11 (b) 10 (c) 13 (d) 12
  26. 26.What is the mean of 2, 10, 4 and 4? (a) 6 (b) 5 (c) 7 (d) 4
  27. 27.What is the mean of 6, 11, 4, 13, 18 and 14? (a) 10 (b) 12 (c) 13 (d) 11
  28. 28.What is the median of 6, 29, 32, 7 and 21? (a) 19 (b) 32 (c) 21 (d) 29
  29. 29.The mean of 3 numbers is 28. When the number 16 is added to them, what is the new mean? (a) 28 (b) 22 (c) 25 (d) 26
  30. 30.The mean of 6 numbers is 26. When the number 12 is added to them, what is the new mean? (a) 19 (b) 24 (c) 25 (d) 26
  31. 31.What is the mode of 2, 2, 11, 13, 2, 11 and 8? (a) 8 (b) 2 (c) 13 (d) 11
  32. 32.The mean of 3 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 12 (b) 17 (c) 20 (d) 16
  33. 33.What is the median of 28, 5, 8, 16, 20, 34 and 36? (a) 28 (b) 16 (c) 20 (d) 21
  34. 34.What is the mean of 10, 9, 13, 16 and 22? (a) 15 (b) 13 (c) 14 (d) 16
  35. 35.What is the mode of 6, 6, 1, 19, 13, 1 and 6? (a) 6 (b) 13 (c) 1 (d) 19
  36. 36.What is the mode of 2, 20, 17, 17, 2, 2 and 12? (a) 12 (b) 20 (c) 2 (d) 17
  37. 37.What is the mode of 8, 16, 1, 2, 1, 1 and 16? (a) 2 (b) 8 (c) 16 (d) 1
  38. 38.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 43 (b) 47 (c) 40 (d) 42
  39. 39.What is the mean of 20, 4, 5, 20 and 16? (a) 15 (b) 13 (c) 12 (d) 14
  40. 40.What is the mode of 3, 17, 17, 4, 4, 4 and 20? (a) 17 (b) 20 (c) 4 (d) 3

Answer key

  1. 19
  2. 16
  3. 1
  4. 20
  5. 16
  6. 15
  7. 12
  8. 10
  9. 23
  10. 10
  11. 10
  12. 21
  13. 36
  14. 7
  15. 13
  16. 5
  17. 10
  18. 35
  19. 36
  20. 22
  21. 14
  22. 7
  23. 27
  24. 32
  25. 11
  26. 5
  27. 11
  28. 21
  29. 25
  30. 24
  31. 2
  32. 16
  33. 20
  34. 14
  35. 6
  36. 2
  37. 1
  38. 42
  39. 13
  40. 4

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