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Grade 11 · Mathematics

Grade 11 Statistics & probability worksheet

20 questions on statistics & probability. The answer key is a separate download.

What is on the worksheet

  1. Find the population variance of 18, 25, 32, 39, 46. Divide by 5.

  2. A score of 16 occurs 3 times; a score of 11 occurs 3 times. Find the mean as a fraction or decimal.

  3. Find the population variance of 12, 18, 24, 30, 36. Divide by 5.

  4. A score of 15 occurs 5 times; a score of 18 occurs 4 times. Find the mean as a fraction or decimal.

  5. Club A has 14 bus users and 15 walkers. Club B has 6 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  6. Club A has 21 bus users and 4 walkers. Club B has 2 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  7. Club A has 22 bus users and 17 walkers. Club B has 20 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  8. Find the population variance of -2, 6, 14, 22, 30. Divide by 5.

  9. How many ordered selections of 4 distinct items can be made from 15 items without repetition?

  10. Data: 9, 19, 29, 39, 49, 59, 69, 79. Using medians of the lower four and upper four values, find the interquartile range.

  11. How many different groups of 4 can be chosen from 11 distinct people, if order does not matter?

  12. Data: 18, 20, 22, 24, 26, 28, 30, 32. Using medians of the lower four and upper four values, find the interquartile range.

  13. Club A has 4 bus users and 8 walkers. Club B has 15 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  14. Data: 49, 53, 57, 61, 65, 69, 73, 77. Using medians of the lower four and upper four values, find the interquartile range.

  15. Club A has 13 bus users and 18 walkers. Club B has 7 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  16. Data: 28, 40, 52, 64, 76, 88, 100, 112. Using medians of the lower four and upper four values, find the interquartile range.

  17. Find the population variance of 59, 66, 73, 80, 87. Divide by 5.

  18. Club A has 23 bus users and 13 walkers. Club B has 13 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  19. A score of 6 occurs 7 times; a score of 3 occurs 3 times. Find the mean as a fraction or decimal.

  20. Club A has 20 bus users and 19 walkers. Club B has 13 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

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