Purpose: Confirm prerequisite skills before working with statistics: arithmetic mean, fraction/decimal computation, sorting data, basic understanding of populations vs samples.
Prerequisite Knowledge
Question 1 [3 marks]
Compute the arithmetic mean of: 12, 15, 18, 22, 25, 30. Show steps.
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Question 2 [3 marks]
Sort the following data and identify median and mode: 8, 3, 5, 8, 9, 7, 5, 8, 11, 6.
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Question 3 [3 marks]
Convert decimals/percents:
a) \( 0.625 \) → percent
b) \( 12.5\% \) → decimal
c) \( \dfrac{3}{8} \) → percent
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Question 4 [3 marks]
Define population and sample. Give an example for each from a study of "Canadian Grade 12 students' study habits."
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Question 5 [3 marks]
A weighted average problem: A student's grade comes from Tests (40%, average 75), Assignments (30%, average 85), and Final (30%, average 80). Compute the weighted overall mark.
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Question 6 [3 marks]
Reflection: Have you ever encountered a survey or news poll that you suspected was biased? Describe it briefly. What made it suspect?