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Grade 12 · Mathematics

Grade 12 Statistics & probability worksheet

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

What is on the worksheet

  1. Data: 20, 26, 32, 38, 44, 50, 56, 62. Using medians of the lower four and upper four values, find the interquartile range.

  2. Club A has 2 bus users and 17 walkers. Club B has 17 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  3. Find the population variance of -4, 4, 12, 20, 28. Divide by 5.

  4. Find the population variance of 13, 22, 31, 40, 49. Divide by 5.

  5. How many ordered selections of 3 distinct items can be made from 9 items without repetition?

  6. A score of 15 occurs 9 times; a score of 11 occurs 4 times. Find the mean as a fraction or decimal.

  7. Find the population variance of 50, 56, 62, 68, 74. Divide by 5.

  8. Data: 30, 36, 42, 48, 54, 60, 66, 72. Using medians of the lower four and upper four values, find the interquartile range.

  9. How many ordered selections of 3 distinct items can be made from 12 items without repetition?

  10. Club A has 24 bus users and 23 walkers. Club B has 14 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  11. Club A has 19 bus users and 9 walkers. Club B has 10 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  12. A score of 18 occurs 10 times; a score of 24 occurs 4 times. Find the mean as a fraction or decimal.

  13. Find the population variance of 44, 52, 60, 68, 76. Divide by 5.

  14. Club A has 16 bus users and 15 walkers. Club B has 16 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

  15. Find the population variance of 69, 70, 71, 72, 73. Divide by 5.

  16. Data: 46, 53, 60, 67, 74, 81, 88, 95. Using medians of the lower four and upper four values, find the interquartile range.

  17. Data: 31, 39, 47, 55, 63, 71, 79, 87. Using medians of the lower four and upper four values, find the interquartile range.

  18. Find the population variance of 40, 48, 56, 64, 72. Divide by 5.

  19. A score of 10 occurs 2 times; a score of 30 occurs 2 times. Find the mean as a fraction or decimal.

  20. A score of 5 occurs 2 times; a score of 21 occurs 1 times. Find the mean as a fraction or decimal.

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