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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 711 · 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 9 numbers is 35. When the number 15 is added to them, what is the new mean? (a) 25 (b) 33 (c) 34 (d) 35
  2. 2.The mean of 4 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 28 (b) 32 (c) 33 (d) 38
  3. 3.What is the mean of 9, 15, 4, 7 and 15? (a) 12 (b) 11 (c) 9 (d) 10
  4. 4.What is the mode of 7, 7, 10, 16, 10, 7 and 8? (a) 16 (b) 10 (c) 8 (d) 7
  5. 5.What is the mode of 5, 15, 15, 5, 5, 1 and 19? (a) 5 (b) 15 (c) 1 (d) 19
  6. 6.What is the mode of 16, 16, 3, 5, 5, 14 and 5? (a) 3 (b) 14 (c) 5 (d) 16
  7. 7.What is the mode of 13, 20, 1, 16, 16, 16 and 1? (a) 13 (b) 16 (c) 1 (d) 20
  8. 8.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 18 (b) 17 (c) 20 (d) 15
  9. 9.What is the mean of 10, 7, 4, 3 and 6? (a) 8 (b) 6 (c) 5 (d) 7
  10. 10.The mean of 3 numbers is 29. When the number 25 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 30
  11. 11.What is the mode of 6, 6, 10, 16, 6, 10 and 7? (a) 10 (b) 7 (c) 16 (d) 6
  12. 12.What is the mean of 4, 7, 12, 2 and 5? (a) 5 (b) 8 (c) 7 (d) 6
  13. 13.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 16 (b) 15 (c) 14 (d) 17
  14. 14.The mean of 4 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 40 (b) 35 (c) 38 (d) 39
  15. 15.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 29
  16. 16.What is the median of 22, 25, 2, 31 and 36? (a) 31 (b) 25 (c) 2 (d) 22
  17. 17.The mean of 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 19 (b) 20 (c) 16 (d) 18
  18. 18.What is the median of 12, 40, 34, 8, 18, 9 and 30? (a) 30 (b) 12 (c) 18 (d) 8
  19. 19.What is the median of 31, 35, 13, 30, 34, 6 and 33? (a) 26 (b) 30 (c) 31 (d) 33
  20. 20.What is the mode of 10, 10, 20, 10, 20, 9 and 8? (a) 8 (b) 9 (c) 20 (d) 10
  21. 21.What is the median of 4, 29, 10, 35, 31, 6 and 11? (a) 11 (b) 35 (c) 29 (d) 18
  22. 22.What is the median of 8, 10, 23, 37, 28, 12 and 39? (a) 37 (b) 28 (c) 12 (d) 23
  23. 23.What is the median of 11, 24, 31, 12, 7, 39 and 6? (a) 24 (b) 13 (c) 12 (d) 11
  24. 24.The mean of 6 numbers is 18. When the number 25 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 20
  25. 25.The mean of 5 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 40 (b) 46 (c) 37 (d) 41
  26. 26.What is the median of 27, 11, 22, 4, 21, 17 and 38? (a) 22 (b) 20 (c) 21 (d) 4
  27. 27.What is the mode of 5, 2, 16, 2, 5, 3 and 2? (a) 16 (b) 3 (c) 2 (d) 5
  28. 28.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 31 (b) 25 (c) 32 (d) 33
  29. 29.The mean of 4 numbers is 35. When the number 50 is added to them, what is the new mean? (a) 39 (b) 38 (c) 37 (d) 35
  30. 30.What is the median of 26, 14, 23, 2, 9, 7 and 28? (a) 9 (b) 23 (c) 2 (d) 14
  31. 31.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 18 (b) 13 (c) 17 (d) 21
  32. 32.The mean of 4 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 32 (b) 29 (c) 33 (d) 34
  33. 33.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 18 (b) 15 (c) 16 (d) 17
  34. 34.The mean of 7 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 26 (b) 23 (c) 25 (d) 31
  35. 35.What is the mean of 20, 6, 14 and 4? (a) 12 (b) 10 (c) 13 (d) 11
  36. 36.What is the median of 30, 27, 9, 31 and 37? (a) 9 (b) 31 (c) 27 (d) 30
  37. 37.What is the mean of 6, 4, 20 and 14? (a) 13 (b) 11 (c) 12 (d) 10
  38. 38.What is the mean of 15, 8, 19, 16, 3 and 17? (a) 14 (b) 15 (c) 12 (d) 13
  39. 39.What is the mode of 11, 5, 18, 11, 5, 11 and 20? (a) 20 (b) 5 (c) 18 (d) 11
  40. 40.What is the median of 25, 38, 1, 3 and 34? (a) 3 (b) 25 (c) 34 (d) 1

Answer key

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

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