← 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 489 · 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 3 numbers is 30. When the number 26 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 29
  2. 2.What is the mode of 2, 12, 12, 2, 15, 20 and 12? (a) 15 (b) 12 (c) 20 (d) 2
  3. 3.What is the median of 21, 32, 22, 16 and 4? (a) 22 (b) 19 (c) 21 (d) 16
  4. 4.What is the mean of 11, 9, 15 and 17? (a) 12 (b) 14 (c) 15 (d) 13
  5. 5.What is the mean of 10, 2, 17, 11, 3 and 11? (a) 9 (b) 11 (c) 10 (d) 8
  6. 6.What is the mode of 8, 12, 5, 5, 12, 5 and 18? (a) 8 (b) 5 (c) 18 (d) 12
  7. 7.The mean of 3 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 39 (b) 43 (c) 45 (d) 42
  8. 8.What is the mode of 8, 8, 8, 20, 5, 20 and 7? (a) 8 (b) 20 (c) 5 (d) 7
  9. 9.What is the median of 21, 12, 33, 26 and 27? (a) 33 (b) 26 (c) 27 (d) 21
  10. 10.What is the mean of 4, 11, 5, 11, 20 and 9? (a) 9 (b) 11 (c) 12 (d) 10
  11. 11.What is the median of 23, 39, 1, 7, 9, 32 and 35? (a) 9 (b) 23 (c) 7 (d) 32
  12. 12.What is the mean of 19, 7, 17, 4 and 23? (a) 15 (b) 13 (c) 14 (d) 16
  13. 13.What is the median of 17, 30, 9, 27 and 38? (a) 17 (b) 9 (c) 27 (d) 30
  14. 14.What is the median of 21, 31, 19, 11, 17, 12 and 13? (a) 11 (b) 13 (c) 17 (d) 19
  15. 15.The mean of 3 numbers is 22. When the number 26 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 25
  16. 16.The mean of 7 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 40 (b) 34 (c) 35 (d) 32
  17. 17.What is the mode of 9, 1, 3, 3, 3, 8 and 9? (a) 9 (b) 8 (c) 1 (d) 3
  18. 18.What is the mean of 15, 19, 2, 18, 12 and 24? (a) 18 (b) 16 (c) 14 (d) 15
  19. 19.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 24 (b) 38 (c) 34 (d) 35
  20. 20.What is the mean of 10, 13, 12 and 5? (a) 9 (b) 10 (c) 8 (d) 11
  21. 21.The mean of 9 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 23 (b) 19 (c) 20 (d) 18
  22. 22.What is the mean of 10, 14, 20 and 16? (a) 12 (b) 16 (c) 15 (d) 20
  23. 23.What is the mean of 15, 16, 2, 20 and 17? (a) 15 (b) 16 (c) 14 (d) 13
  24. 24.What is the mode of 1, 17, 18, 17, 18, 11 and 18? (a) 11 (b) 18 (c) 17 (d) 1
  25. 25.What is the mean of 17, 5, 5 and 21? (a) 13 (b) 12 (c) 11 (d) 16
  26. 26.What is the mean of 18, 15, 3, 5, 4 and 3? (a) 8 (b) 7 (c) 10 (d) 9
  27. 27.What is the median of 2, 8, 28, 22, 14, 37 and 4? (a) 8 (b) 22 (c) 15 (d) 14
  28. 28.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 23 (b) 27 (c) 25 (d) 24
  29. 29.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 22 (b) 20 (c) 23 (d) 21
  30. 30.What is the mode of 20, 10, 2, 8, 8, 8 and 2? (a) 2 (b) 8 (c) 10 (d) 20
  31. 31.What is the median of 9, 16, 37, 19 and 28? (a) 28 (b) 37 (c) 19 (d) 16
  32. 32.What is the mean of 7, 5, 19 and 17? (a) 11 (b) 12 (c) 16 (d) 13
  33. 33.The mean of 9 numbers is 16. When the number 56 is added to them, what is the new mean? (a) 16 (b) 21 (c) 20 (d) 36
  34. 34.What is the mode of 4, 11, 19, 19, 12, 19 and 4? (a) 12 (b) 11 (c) 4 (d) 19
  35. 35.What is the mean of 20, 11, 13, 7, 5 and 22? (a) 12 (b) 15 (c) 14 (d) 13
  36. 36.What is the median of 2, 11, 40, 26, 29, 19 and 25? (a) 25 (b) 24 (c) 26 (d) 19
  37. 37.The mean of 5 numbers is 37. When the number 43 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 40
  38. 38.What is the mode of 15, 13, 13, 18, 13, 5 and 15? (a) 13 (b) 5 (c) 15 (d) 18
  39. 39.What is the mean of 11, 15, 16, 17 and 16? (a) 16 (b) 17 (c) 14 (d) 15
  40. 40.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 19 (b) 22 (c) 18 (d) 14

Answer key

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

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