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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 192 · 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 5 numbers is 23. When the number 17 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 21
  2. 2.The mean of 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 26
  3. 3.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 27 (b) 25 (c) 24 (d) 23
  4. 4.The mean of 6 numbers is 40. When the number 61 is added to them, what is the new mean? (a) 44 (b) 42 (c) 43 (d) 40
  5. 5.What is the median of 20, 1, 4, 33, 19, 39 and 10? (a) 33 (b) 20 (c) 18 (d) 19
  6. 6.What is the median of 26, 21, 18, 20, 36, 10 and 30? (a) 21 (b) 20 (c) 26 (d) 23
  7. 7.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 33 (b) 36 (c) 37 (d) 35
  8. 8.What is the mean of 11, 17, 10, 17, 9 and 2? (a) 12 (b) 13 (c) 11 (d) 10
  9. 9.The mean of 6 numbers is 27. When the number 6 is added to them, what is the new mean? (a) 27 (b) 25 (c) 23 (d) 24
  10. 10.What is the mode of 2, 2, 8, 2, 8, 18 and 6? (a) 8 (b) 18 (c) 2 (d) 6
  11. 11.What is the median of 17, 31, 19, 6 and 7? (a) 19 (b) 16 (c) 7 (d) 17
  12. 12.What is the median of 3, 32, 13, 14 and 12? (a) 15 (b) 12 (c) 13 (d) 14
  13. 13.What is the mean of 4, 7, 11, 13, 2 and 23? (a) 12 (b) 10 (c) 11 (d) 9
  14. 14.What is the mode of 18, 16, 6, 6, 6, 16 and 5? (a) 18 (b) 6 (c) 5 (d) 16
  15. 15.What is the median of 11, 8, 38, 6, 5, 26 and 29? (a) 11 (b) 26 (c) 8 (d) 6
  16. 16.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 18 (b) 20 (c) 17 (d) 19
  17. 17.What is the mean of 20, 8, 5, 10 and 7? (a) 11 (b) 10 (c) 9 (d) 12
  18. 18.The mean of 6 numbers is 29. When the number 22 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 29
  19. 19.What is the median of 28, 18, 29, 32 and 25? (a) 29 (b) 25 (c) 28 (d) 27
  20. 20.What is the mode of 12, 19, 12, 19, 15, 1 and 19? (a) 12 (b) 1 (c) 15 (d) 19
  21. 21.What is the mean of 9, 5, 4 and 22? (a) 8 (b) 11 (c) 10 (d) 9
  22. 22.The mean of 6 numbers is 14. When the number 35 is added to them, what is the new mean? (a) 14 (b) 18 (c) 17 (d) 16
  23. 23.The mean of 5 numbers is 19. When the number 31 is added to them, what is the new mean? (a) 25 (b) 19 (c) 22 (d) 21
  24. 24.What is the mean of 17, 5, 15 and 19? (a) 16 (b) 13 (c) 15 (d) 14
  25. 25.The mean of 3 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 18 (b) 19 (c) 14 (d) 22
  26. 26.What is the mode of 19, 19, 4, 16, 9, 9 and 9? (a) 9 (b) 16 (c) 19 (d) 4
  27. 27.The mean of 9 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 32 (b) 37 (c) 33 (d) 34
  28. 28.What is the mean of 11, 6, 18, 14 and 6? (a) 10 (b) 13 (c) 12 (d) 11
  29. 29.What is the median of 6, 24, 35, 15, 33, 1 and 4? (a) 16 (b) 15 (c) 6 (d) 24
  30. 30.What is the median of 38, 16, 28, 12 and 32? (a) 32 (b) 16 (c) 29 (d) 28
  31. 31.What is the mean of 12, 19, 19, 13, 7 and 8? (a) 15 (b) 12 (c) 14 (d) 13
  32. 32.What is the mean of 12, 4, 17, 18 and 4? (a) 10 (b) 11 (c) 13 (d) 12
  33. 33.What is the mean of 19, 7, 4 and 22? (a) 15 (b) 13 (c) 14 (d) 12
  34. 34.What is the mode of 19, 9, 19, 20, 19, 10 and 9? (a) 20 (b) 9 (c) 19 (d) 10
  35. 35.What is the median of 27, 17, 6, 23 and 5? (a) 6 (b) 17 (c) 23 (d) 18
  36. 36.What is the median of 1, 40, 21, 15, 37, 34 and 25? (a) 34 (b) 21 (c) 15 (d) 25
  37. 37.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 16 (b) 13 (c) 14 (d) 15
  38. 38.What is the median of 26, 3, 9, 14, 1, 15 and 17? (a) 9 (b) 15 (c) 13 (d) 14
  39. 39.What is the median of 18, 25, 11, 5 and 36? (a) 11 (b) 19 (c) 25 (d) 18
  40. 40.What is the median of 25, 18, 22, 37, 34, 28 and 24? (a) 25 (b) 24 (c) 37 (d) 28

Answer key

  1. 22
  2. 28
  3. 24
  4. 43
  5. 19
  6. 21
  7. 35
  8. 11
  9. 24
  10. 2
  11. 17
  12. 13
  13. 10
  14. 6
  15. 11
  16. 18
  17. 10
  18. 28
  19. 28
  20. 19
  21. 10
  22. 17
  23. 21
  24. 14
  25. 18
  26. 9
  27. 33
  28. 11
  29. 15
  30. 28
  31. 13
  32. 11
  33. 13
  34. 19
  35. 17
  36. 25
  37. 14
  38. 14
  39. 18
  40. 25

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