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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 278 · 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 32. When the number 40 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 32
  2. 2.What is the mode of 3, 1, 11, 6, 3, 3 and 11? (a) 1 (b) 3 (c) 6 (d) 11
  3. 3.What is the mean of 15, 5, 5, 20, 15 and 18? (a) 12 (b) 13 (c) 14 (d) 15
  4. 4.What is the mode of 10, 12, 19, 17, 10, 19 and 10? (a) 17 (b) 10 (c) 19 (d) 12
  5. 5.The mean of 4 numbers is 20. When the number 35 is added to them, what is the new mean? (a) 20 (b) 23 (c) 22 (d) 24
  6. 6.The mean of 9 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 20 (b) 18 (c) 19 (d) 15
  7. 7.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 23
  8. 8.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 25 (b) 31 (c) 29 (d) 28
  9. 9.What is the median of 35, 5, 4, 3, 1, 13 and 9? (a) 10 (b) 5 (c) 9 (d) 3
  10. 10.What is the median of 17, 6, 26, 9, 38, 10 and 36? (a) 10 (b) 9 (c) 17 (d) 26
  11. 11.What is the mean of 16, 12, 18, 5 and 14? (a) 14 (b) 12 (c) 13 (d) 15
  12. 12.The mean of 6 numbers is 14. When the number 35 is added to them, what is the new mean? (a) 18 (b) 17 (c) 14 (d) 16
  13. 13.The mean of 6 numbers is 27. When the number 41 is added to them, what is the new mean? (a) 30 (b) 34 (c) 29 (d) 27
  14. 14.The mean of 7 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 16 (b) 22 (c) 24 (d) 23
  15. 15.What is the median of 29, 34, 10, 7, 21, 35 and 23? (a) 29 (b) 23 (c) 21 (d) 7
  16. 16.The mean of 6 numbers is 24. When the number 3 is added to them, what is the new mean? (a) 21 (b) 24 (c) 22 (d) 20
  17. 17.The mean of 9 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 29 (b) 28 (c) 30 (d) 33
  18. 18.What is the mode of 19, 13, 4, 19, 4, 4 and 6? (a) 13 (b) 19 (c) 6 (d) 4
  19. 19.What is the median of 29, 14, 1, 40 and 24? (a) 1 (b) 14 (c) 29 (d) 24
  20. 20.What is the mode of 15, 13, 2, 2, 15, 15 and 12? (a) 12 (b) 15 (c) 2 (d) 13
  21. 21.What is the median of 2, 34, 9, 10, 1, 4 and 31? (a) 10 (b) 13 (c) 9 (d) 4
  22. 22.What is the mean of 4, 4, 17 and 15? (a) 11 (b) 9 (c) 10 (d) 8
  23. 23.What is the mode of 10, 19, 10, 19, 7, 3 and 19? (a) 3 (b) 10 (c) 19 (d) 7
  24. 24.What is the median of 15, 6, 1, 34, 33, 5 and 2? (a) 6 (b) 34 (c) 15 (d) 5
  25. 25.What is the median of 25, 21, 32, 13 and 30? (a) 25 (b) 21 (c) 32 (d) 30
  26. 26.What is the mode of 6, 7, 6, 7, 17, 3 and 7? (a) 3 (b) 7 (c) 6 (d) 17
  27. 27.The mean of 6 numbers is 25. When the number 18 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 23
  28. 28.What is the mean of 16, 15, 16, 20, 8 and 9? (a) 15 (b) 14 (c) 13 (d) 12
  29. 29.What is the mode of 5, 3, 3, 3, 5, 14 and 7? (a) 14 (b) 5 (c) 7 (d) 3
  30. 30.What is the mean of 5, 13, 3 and 3? (a) 7 (b) 6 (c) 8 (d) 5
  31. 31.What is the mode of 17, 14, 17, 5, 17, 5 and 10? (a) 5 (b) 14 (c) 10 (d) 17
  32. 32.What is the mean of 7, 10, 16, 12, 5 and 4? (a) 10 (b) 9 (c) 8 (d) 11
  33. 33.What is the mean of 4, 10, 8 and 18? (a) 11 (b) 9 (c) 8 (d) 10
  34. 34.The mean of 6 numbers is 20. When the number 48 is added to them, what is the new mean? (a) 20 (b) 25 (c) 34 (d) 24
  35. 35.What is the mode of 12, 5, 19, 16, 19, 19 and 12? (a) 16 (b) 5 (c) 19 (d) 12
  36. 36.The mean of 3 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 19
  37. 37.What is the median of 7, 4, 35, 19, 31, 17 and 2? (a) 17 (b) 19 (c) 18 (d) 7
  38. 38.What is the mean of 16, 9, 2, 5, 15 and 13? (a) 9 (b) 11 (c) 10 (d) 12
  39. 39.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 18 (b) 23 (c) 13 (d) 17
  40. 40.The mean of 5 numbers is 31. When the number 37 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 33

Answer key

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

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