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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 90 · 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.What is the mean of 4, 14, 17 and 9? (a) 13 (b) 11 (c) 12 (d) 10
  2. 2.The mean of 5 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 10 (b) 16 (c) 19 (d) 17
  3. 3.What is the mean of 4, 5, 20 and 19? (a) 11 (b) 12 (c) 13 (d) 16
  4. 4.The mean of 7 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 39 (b) 37 (c) 35 (d) 36
  5. 5.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 14 (b) 13 (c) 16 (d) 12
  6. 6.The mean of 4 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 9 (b) 6 (c) 11 (d) 10
  7. 7.The mean of 5 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 22 (b) 14 (c) 26 (d) 23
  8. 8.What is the median of 6, 39, 26, 34 and 30? (a) 27 (b) 34 (c) 30 (d) 26
  9. 9.The mean of 7 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 15 (b) 12 (c) 16 (d) 14
  10. 10.The mean of 8 numbers is 35. When the number 8 is added to them, what is the new mean? (a) 35 (b) 31 (c) 32 (d) 33
  11. 11.What is the median of 36, 14, 6, 30, 13, 25 and 26? (a) 14 (b) 26 (c) 25 (d) 30
  12. 12.What is the median of 8, 5, 38, 16 and 25? (a) 16 (b) 8 (c) 38 (d) 25
  13. 13.The mean of 3 numbers is 24. When the number 28 is added to them, what is the new mean? (a) 24 (b) 27 (c) 25 (d) 26
  14. 14.The mean of 3 numbers is 24. When the number 36 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 24
  15. 15.What is the mode of 15, 15, 4, 18, 15, 19 and 19? (a) 18 (b) 19 (c) 15 (d) 4
  16. 16.What is the mean of 5, 7, 12, 15, 20 and 7? (a) 13 (b) 10 (c) 11 (d) 12
  17. 17.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 12 (b) 11 (c) 10 (d) 8
  18. 18.The mean of 7 numbers is 10. When the number 42 is added to them, what is the new mean? (a) 10 (b) 26 (c) 15 (d) 14
  19. 19.What is the mean of 7, 9, 16, 19, 19 and 20? (a) 14 (b) 15 (c) 18 (d) 16
  20. 20.What is the mode of 2, 18, 7, 18, 14, 14 and 18? (a) 14 (b) 18 (c) 2 (d) 7
  21. 21.The mean of 5 numbers is 32. When the number 38 is added to them, what is the new mean? (a) 35 (b) 33 (c) 32 (d) 34
  22. 22.What is the mean of 2, 19, 2 and 9? (a) 7 (b) 8 (c) 10 (d) 9
  23. 23.What is the mean of 7, 17, 2, 11, 3 and 20? (a) 12 (b) 10 (c) 11 (d) 9
  24. 24.What is the mean of 20, 12, 16 and 4? (a) 12 (b) 14 (c) 13 (d) 15
  25. 25.What is the mode of 5, 19, 1, 19, 1, 6 and 1? (a) 5 (b) 19 (c) 6 (d) 1
  26. 26.The mean of 3 numbers is 31. When the number 15 is added to them, what is the new mean? (a) 31 (b) 27 (c) 28 (d) 23
  27. 27.What is the mode of 9, 20, 12, 9, 12, 15 and 9? (a) 15 (b) 20 (c) 9 (d) 12
  28. 28.What is the mode of 11, 14, 4, 10, 11, 4 and 4? (a) 14 (b) 10 (c) 4 (d) 11
  29. 29.What is the mean of 8, 15, 14, 2 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  30. 30.What is the median of 34, 30, 39, 35 and 11? (a) 39 (b) 35 (c) 34 (d) 30
  31. 31.What is the median of 25, 9, 35, 36 and 5? (a) 22 (b) 9 (c) 25 (d) 35
  32. 32.What is the mean of 15, 18, 7, 17, 6 and 9? (a) 11 (b) 12 (c) 14 (d) 13
  33. 33.What is the mean of 20, 8, 18, 8, 12 and 6? (a) 13 (b) 12 (c) 11 (d) 14
  34. 34.The mean of 9 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 33
  35. 35.What is the mode of 2, 13, 15, 13, 11, 13 and 2? (a) 2 (b) 13 (c) 15 (d) 11
  36. 36.The mean of 4 numbers is 23. When the number 28 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 26
  37. 37.What is the median of 40, 25, 23, 3, 21, 1 and 20? (a) 3 (b) 19 (c) 21 (d) 23
  38. 38.What is the mode of 6, 17, 15, 16, 6, 15 and 6? (a) 17 (b) 15 (c) 16 (d) 6
  39. 39.What is the mean of 12, 6, 12, 10, 15 and 17? (a) 12 (b) 13 (c) 14 (d) 11
  40. 40.The mean of 4 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 18

Answer key

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

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