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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 852 · 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 27. When the number 15 is added to them, what is the new mean? (a) 25 (b) 21 (c) 27 (d) 26
  2. 2.The mean of 7 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 31 (b) 21 (c) 30 (d) 33
  3. 3.What is the median of 25, 29, 37, 3, 7, 23 and 1? (a) 7 (b) 23 (c) 3 (d) 25
  4. 4.What is the mode of 1, 10, 11, 1, 11, 1 and 4? (a) 11 (b) 4 (c) 10 (d) 1
  5. 5.What is the mode of 7, 7, 10, 20, 20, 3 and 20? (a) 3 (b) 7 (c) 10 (d) 20
  6. 6.What is the mode of 8, 16, 18, 18, 18, 8 and 5? (a) 8 (b) 16 (c) 5 (d) 18
  7. 7.The mean of 7 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 16 (b) 17 (c) 10 (d) 18
  8. 8.The mean of 9 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 41 (b) 33 (c) 34 (d) 31
  9. 9.What is the median of 4, 31, 25, 21, 27, 8 and 29? (a) 21 (b) 26 (c) 25 (d) 27
  10. 10.What is the mode of 18, 10, 10, 4, 10, 17 and 17? (a) 17 (b) 18 (c) 4 (d) 10
  11. 11.What is the mode of 3, 10, 15, 10, 5, 3 and 3? (a) 15 (b) 3 (c) 10 (d) 5
  12. 12.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 25 (b) 26 (c) 23 (d) 24
  13. 13.What is the mean of 16, 7, 10 and 15? (a) 16 (b) 11 (c) 13 (d) 12
  14. 14.What is the median of 37, 3, 21, 14 and 19? (a) 21 (b) 20 (c) 19 (d) 14
  15. 15.The mean of 3 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 21 (b) 17 (c) 25 (d) 22
  16. 16.The mean of 3 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 25
  17. 17.What is the mean of 16, 13, 4 and 3? (a) 10 (b) 12 (c) 9 (d) 8
  18. 18.What is the mean of 2, 16, 6 and 8? (a) 9 (b) 7 (c) 10 (d) 8
  19. 19.What is the median of 29, 10, 16, 32, 24, 7 and 12? (a) 32 (b) 24 (c) 16 (d) 12
  20. 20.What is the mode of 9, 8, 18, 18, 8, 8 and 4? (a) 4 (b) 9 (c) 8 (d) 18
  21. 21.What is the mean of 20, 4, 5, 12, 14 and 5? (a) 12 (b) 9 (c) 11 (d) 10
  22. 22.What is the mean of 12, 20, 10 and 18? (a) 15 (b) 20 (c) 12 (d) 16
  23. 23.What is the mode of 3, 15, 19, 3, 15, 6 and 15? (a) 6 (b) 3 (c) 19 (d) 15
  24. 24.The mean of 3 numbers is 20. When the number 28 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 20
  25. 25.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 13 (b) 20 (c) 19 (d) 21
  26. 26.What is the mean of 6, 12, 14 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  27. 27.What is the median of 8, 3, 22, 18, 15, 32 and 39? (a) 19 (b) 15 (c) 22 (d) 18
  28. 28.What is the median of 28, 22, 19, 4 and 29? (a) 22 (b) 19 (c) 23 (d) 28
  29. 29.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 18 (b) 17 (c) 23 (d) 13
  30. 30.What is the mode of 4, 8, 3, 4, 8, 5 and 4? (a) 4 (b) 8 (c) 3 (d) 5
  31. 31.The mean of 5 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 37 (b) 46 (c) 41 (d) 40
  32. 32.The mean of 7 numbers is 21. When the number 53 is added to them, what is the new mean? (a) 25 (b) 37 (c) 21 (d) 26
  33. 33.What is the median of 27, 24, 22, 34, 32, 7 and 30? (a) 24 (b) 27 (c) 30 (d) 34
  34. 34.What is the mode of 15, 15, 3, 3, 8, 19 and 15? (a) 8 (b) 15 (c) 19 (d) 3
  35. 35.What is the mode of 6, 19, 19, 2, 5, 5 and 19? (a) 19 (b) 6 (c) 2 (d) 5
  36. 36.What is the mean of 5, 3, 4, 20, 5 and 5? (a) 9 (b) 7 (c) 8 (d) 6
  37. 37.The mean of 8 numbers is 11. When the number 38 is added to them, what is the new mean? (a) 14 (b) 11 (c) 15 (d) 13
  38. 38.What is the median of 25, 36, 1, 27, 9, 22 and 19? (a) 22 (b) 25 (c) 27 (d) 19
  39. 39.The mean of 6 numbers is 25. When the number 4 is added to them, what is the new mean? (a) 21 (b) 23 (c) 25 (d) 22
  40. 40.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 26

Answer key

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

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