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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 703 · 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 11. When the number 15 is added to them, what is the new mean? (a) 11 (b) 14 (c) 12 (d) 13
  2. 2.The mean of 3 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 30 (b) 26 (c) 31 (d) 34
  3. 3.What is the mode of 2, 1, 2, 13, 1, 10 and 2? (a) 13 (b) 1 (c) 2 (d) 10
  4. 4.The mean of 5 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 27 (b) 20 (c) 19 (d) 15
  5. 5.What is the median of 8, 32, 3, 23, 2, 15 and 38? (a) 15 (b) 23 (c) 8 (d) 16
  6. 6.What is the mean of 5, 14, 9 and 8? (a) 10 (b) 12 (c) 8 (d) 9
  7. 7.What is the mode of 9, 15, 2, 15, 2, 15 and 18? (a) 18 (b) 15 (c) 9 (d) 2
  8. 8.What is the mean of 6, 14, 6, 8 and 16? (a) 11 (b) 10 (c) 9 (d) 12
  9. 9.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 25 (b) 26 (c) 27 (d) 28
  10. 10.The mean of 5 numbers is 11. When the number 17 is added to them, what is the new mean? (a) 13 (b) 12 (c) 14 (d) 11
  11. 11.What is the mean of 9, 16, 9, 9 and 12? (a) 12 (b) 10 (c) 11 (d) 13
  12. 12.What is the median of 9, 7, 39, 8 and 32? (a) 19 (b) 39 (c) 9 (d) 32
  13. 13.The mean of 9 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 37 (b) 27 (c) 36 (d) 35
  14. 14.What is the mean of 16, 11, 7 and 10? (a) 12 (b) 10 (c) 13 (d) 11
  15. 15.The mean of 4 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 48 (b) 43 (c) 38 (d) 42
  16. 16.What is the mode of 19, 20, 2, 19, 10, 2 and 19? (a) 10 (b) 20 (c) 19 (d) 2
  17. 17.What is the mode of 3, 18, 3, 7, 7, 17 and 7? (a) 18 (b) 17 (c) 3 (d) 7
  18. 18.What is the median of 6, 36, 35, 39, 25, 13 and 21? (a) 35 (b) 39 (c) 21 (d) 25
  19. 19.The mean of 5 numbers is 32. When the number 26 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 32
  20. 20.What is the mode of 4, 18, 18, 15, 15, 1 and 15? (a) 18 (b) 1 (c) 4 (d) 15
  21. 21.The mean of 4 numbers is 30. When the number 10 is added to them, what is the new mean? (a) 20 (b) 30 (c) 26 (d) 27
  22. 22.The mean of 7 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 37 (b) 35 (c) 38 (d) 39
  23. 23.What is the mean of 18, 7, 10 and 5? (a) 10 (b) 9 (c) 11 (d) 8
  24. 24.What is the mode of 17, 12, 5, 20, 5, 17 and 17? (a) 5 (b) 12 (c) 20 (d) 17
  25. 25.The mean of 6 numbers is 34. When the number 27 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 34
  26. 26.What is the median of 3, 32, 40, 5, 23, 20 and 22? (a) 5 (b) 22 (c) 20 (d) 23
  27. 27.What is the mode of 3, 3, 3, 8, 11, 2 and 11? (a) 8 (b) 11 (c) 3 (d) 2
  28. 28.What is the mean of 2, 17, 18, 9, 18 and 8? (a) 13 (b) 12 (c) 11 (d) 14
  29. 29.What is the median of 16, 11, 15, 1, 23, 20 and 18? (a) 15 (b) 18 (c) 16 (d) 1
  30. 30.What is the mean of 3, 14, 5, 11 and 7? (a) 7 (b) 8 (c) 9 (d) 10
  31. 31.What is the median of 3, 31, 10, 35, 12, 36 and 11? (a) 11 (b) 12 (c) 35 (d) 31
  32. 32.What is the mean of 4, 15, 4, 6, 9 and 10? (a) 8 (b) 10 (c) 9 (d) 7
  33. 33.What is the mode of 4, 3, 20, 3, 20, 20 and 6? (a) 6 (b) 4 (c) 3 (d) 20
  34. 34.What is the median of 23, 29, 6, 33 and 37? (a) 6 (b) 33 (c) 23 (d) 29
  35. 35.What is the mode of 2, 20, 4, 2, 3, 4 and 4? (a) 3 (b) 4 (c) 2 (d) 20
  36. 36.The mean of 6 numbers is 23. When the number 44 is added to them, what is the new mean? (a) 26 (b) 25 (c) 23 (d) 27
  37. 37.What is the mode of 2, 5, 15, 5, 5, 15 and 12? (a) 2 (b) 12 (c) 15 (d) 5
  38. 38.The mean of 3 numbers is 28. When the number 24 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 27
  39. 39.What is the mean of 20, 8, 6 and 6? (a) 10 (b) 8 (c) 9 (d) 11
  40. 40.What is the median of 11, 36, 38, 26, 12, 16 and 14? (a) 17 (b) 14 (c) 16 (d) 26

Answer key

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

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