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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 691 · 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 18. When the number 30 is added to them, what is the new mean? (a) 18 (b) 22 (c) 21 (d) 24
  2. 2.What is the mode of 12, 6, 9, 9, 6, 9 and 10? (a) 12 (b) 6 (c) 10 (d) 9
  3. 3.What is the mean of 16, 3, 20, 12 and 9? (a) 15 (b) 13 (c) 10 (d) 12
  4. 4.What is the mean of 12, 13, 17, 12, 2 and 16? (a) 13 (b) 12 (c) 14 (d) 11
  5. 5.What is the mean of 20, 5, 2, 15, 4 and 8? (a) 9 (b) 10 (c) 11 (d) 8
  6. 6.The mean of 9 numbers is 30. When the number 70 is added to them, what is the new mean? (a) 30 (b) 34 (c) 35 (d) 50
  7. 7.What is the mean of 18, 6, 3 and 9? (a) 8 (b) 9 (c) 12 (d) 10
  8. 8.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 24 (b) 25 (c) 17 (d) 23
  9. 9.What is the mean of 18, 4, 7 and 11? (a) 8 (b) 11 (c) 10 (d) 9
  10. 10.What is the median of 2, 20, 23, 39, 14, 17 and 30? (a) 20 (b) 23 (c) 39 (d) 17
  11. 11.The mean of 4 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 43 (b) 48 (c) 38 (d) 42
  12. 12.What is the median of 31, 4, 35, 3, 18, 27 and 10? (a) 10 (b) 18 (c) 3 (d) 27
  13. 13.What is the mode of 14, 19, 19, 19, 6, 6 and 17? (a) 17 (b) 6 (c) 19 (d) 14
  14. 14.What is the mean of 19, 6, 19, 13 and 3? (a) 10 (b) 12 (c) 15 (d) 13
  15. 15.The mean of 4 numbers is 20. When the number 35 is added to them, what is the new mean? (a) 24 (b) 20 (c) 22 (d) 23
  16. 16.What is the median of 6, 40, 29, 1 and 30? (a) 29 (b) 30 (c) 28 (d) 6
  17. 17.What is the mean of 13, 20, 4 and 7? (a) 10 (b) 12 (c) 13 (d) 11
  18. 18.The mean of 5 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 22 (b) 21 (c) 29 (d) 17
  19. 19.What is the mean of 19, 16, 8 and 5? (a) 12 (b) 13 (c) 16 (d) 11
  20. 20.The mean of 8 numbers is 37. When the number 10 is added to them, what is the new mean? (a) 35 (b) 33 (c) 37 (d) 34
  21. 21.The mean of 8 numbers is 16. When the number 43 is added to them, what is the new mean? (a) 20 (b) 16 (c) 18 (d) 19
  22. 22.What is the mean of 3, 19, 13, 6 and 9? (a) 10 (b) 9 (c) 12 (d) 11
  23. 23.What is the mean of 17, 12, 13, 11, 17 and 14? (a) 12 (b) 13 (c) 14 (d) 15
  24. 24.What is the mean of 17, 16, 16, 3 and 23? (a) 14 (b) 15 (c) 16 (d) 17
  25. 25.The mean of 5 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 9
  26. 26.What is the median of 23, 25, 12, 18, 8, 10 and 31? (a) 18 (b) 23 (c) 19 (d) 12
  27. 27.What is the mode of 18, 13, 19, 13, 14, 18 and 18? (a) 18 (b) 14 (c) 19 (d) 13
  28. 28.The mean of 9 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 43 (b) 39 (c) 38 (d) 40
  29. 29.The mean of 9 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 28 (b) 23 (c) 25 (d) 24
  30. 30.What is the mean of 12, 7, 3, 8, 9 and 21? (a) 9 (b) 10 (c) 12 (d) 11
  31. 31.What is the mean of 5, 4, 7 and 8? (a) 7 (b) 8 (c) 6 (d) 5
  32. 32.What is the mode of 6, 19, 1, 19, 6, 10 and 6? (a) 1 (b) 10 (c) 6 (d) 19
  33. 33.What is the median of 9, 21, 33, 12 and 31? (a) 12 (b) 21 (c) 33 (d) 31
  34. 34.What is the median of 3, 9, 21, 12, 35, 30 and 26? (a) 12 (b) 22 (c) 21 (d) 26
  35. 35.What is the mean of 2, 4, 11, 4 and 4? (a) 6 (b) 4 (c) 7 (d) 5
  36. 36.What is the median of 36, 1, 29, 40, 13, 33 and 38? (a) 29 (b) 40 (c) 33 (d) 36
  37. 37.The mean of 3 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 25 (b) 29 (c) 27 (d) 28
  38. 38.What is the mean of 3, 9, 4 and 16? (a) 7 (b) 10 (c) 9 (d) 8
  39. 39.What is the median of 28, 40, 37, 29, 24, 13 and 39? (a) 29 (b) 37 (c) 30 (d) 28
  40. 40.What is the mean of 18, 8, 5 and 21? (a) 15 (b) 12 (c) 14 (d) 13

Answer key

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

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