← 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 969 · 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 16, 7, 4, 7, 20, 7 and 4? (a) 16 (b) 7 (c) 20 (d) 4
  2. 2.What is the median of 15, 31, 4, 28, 1, 7 and 37? (a) 28 (b) 7 (c) 15 (d) 16
  3. 3.What is the mean of 9, 9, 3 and 7? (a) 8 (b) 6 (c) 7 (d) 9
  4. 4.What is the mode of 9, 9, 9, 19, 15, 16 and 16? (a) 19 (b) 9 (c) 16 (d) 15
  5. 5.What is the mode of 19, 19, 14, 10, 15, 14 and 14? (a) 19 (b) 14 (c) 15 (d) 10
  6. 6.What is the mode of 12, 14, 20, 14, 12, 14 and 18? (a) 18 (b) 20 (c) 14 (d) 12
  7. 7.What is the mean of 4, 14, 12, 20, 4 and 18? (a) 13 (b) 12 (c) 11 (d) 14
  8. 8.What is the mean of 11, 9, 15, 7 and 18? (a) 10 (b) 15 (c) 12 (d) 13
  9. 9.The mean of 6 numbers is 38. When the number 52 is added to them, what is the new mean? (a) 40 (b) 45 (c) 38 (d) 41
  10. 10.The mean of 8 numbers is 33. When the number 42 is added to them, what is the new mean? (a) 33 (b) 36 (c) 34 (d) 35
  11. 11.What is the mean of 14, 12, 18 and 16? (a) 12 (b) 16 (c) 20 (d) 15
  12. 12.What is the median of 12, 28, 5, 4 and 20? (a) 5 (b) 12 (c) 13 (d) 20
  13. 13.The mean of 8 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 39 (b) 40 (c) 31 (d) 38
  14. 14.What is the mode of 2, 10, 12, 9, 10, 10 and 12? (a) 10 (b) 12 (c) 2 (d) 9
  15. 15.The mean of 3 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 22 (b) 26 (c) 23 (d) 18
  16. 16.What is the mean of 3, 9, 16, 8 and 4? (a) 10 (b) 9 (c) 7 (d) 8
  17. 17.What is the mean of 4, 13, 19 and 8? (a) 11 (b) 13 (c) 10 (d) 12
  18. 18.What is the mode of 20, 14, 20, 18, 14, 5 and 14? (a) 18 (b) 20 (c) 14 (d) 5
  19. 19.The mean of 7 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 15 (b) 13 (c) 17 (d) 14
  20. 20.The mean of 4 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 26 (b) 31 (c) 36 (d) 30
  21. 21.The mean of 7 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 13 (b) 16 (c) 15 (d) 21
  22. 22.What is the mode of 6, 6, 14, 11, 6, 16 and 16? (a) 14 (b) 11 (c) 6 (d) 16
  23. 23.What is the mean of 7, 6, 2 and 17? (a) 7 (b) 9 (c) 10 (d) 8
  24. 24.The mean of 3 numbers is 29. When the number 33 is added to them, what is the new mean? (a) 31 (b) 30 (c) 32 (d) 29
  25. 25.What is the mean of 3, 16, 20 and 17? (a) 14 (b) 16 (c) 13 (d) 15
  26. 26.What is the median of 33, 14, 15, 25, 10, 19 and 3? (a) 25 (b) 15 (c) 17 (d) 19
  27. 27.What is the mode of 5, 12, 2, 7, 2, 2 and 12? (a) 5 (b) 12 (c) 7 (d) 2
  28. 28.What is the mode of 17, 3, 17, 6, 4, 6 and 6? (a) 17 (b) 4 (c) 6 (d) 3
  29. 29.What is the mode of 14, 15, 15, 13, 11, 15 and 14? (a) 11 (b) 13 (c) 14 (d) 15
  30. 30.The mean of 6 numbers is 34. When the number 27 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 32
  31. 31.What is the mode of 2, 2, 17, 18, 14, 17 and 2? (a) 17 (b) 14 (c) 2 (d) 18
  32. 32.What is the mode of 9, 7, 8, 8, 11, 9 and 8? (a) 7 (b) 11 (c) 8 (d) 9
  33. 33.What is the mode of 20, 14, 20, 16, 20, 2 and 16? (a) 20 (b) 16 (c) 14 (d) 2
  34. 34.What is the mean of 3, 16, 9, 14, 6 and 6? (a) 11 (b) 8 (c) 9 (d) 10
  35. 35.The mean of 9 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 31
  36. 36.The mean of 8 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 14 (b) 17 (c) 16 (d) 23
  37. 37.What is the median of 25, 30, 8, 2 and 12? (a) 25 (b) 8 (c) 13 (d) 12
  38. 38.The mean of 5 numbers is 21. When the number 27 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 24
  39. 39.What is the mode of 18, 10, 18, 5, 5, 3 and 5? (a) 5 (b) 10 (c) 3 (d) 18
  40. 40.What is the mode of 19, 2, 2, 12, 2, 7 and 19? (a) 2 (b) 12 (c) 19 (d) 7

Answer key

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

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