Math Math Statistics and Data Analysis 3

Question 1

A survey shows 40% of 200 people prefer coffee. How many people prefer coffee?

Accepted Answer

80

Answer

40% of 200 = 0.40 × 200 = 80 people.

Question 2

What is the probability of rolling a number greater than 4 on a standard six-sided die?

Accepted Answer

1/3

Answer

Numbers greater than 4 are 5 and 6 — P = 2/6 = 1/3.

Question 3

The data set is: 5, 5, 5, 10, 15. Which measure of central tendency gives 5?

Accepted Answer

Mode

Answer

5 appears three times (most frequent), so 5 is the mode.

Question 4

A frequency table shows scores: 70 (×3), 80 (×4), 90 (×3). What is the mean score?

Accepted Answer

80

Answer

Mean = (70×3 + 80×4 + 90×3) ÷ 10 = (210 + 320 + 270) ÷ 10 = 800 ÷ 10 = 80.

Question 5

If two events A and B are independent and P(A) = 0.3 and P(B) = 0.4, what is P(A and B)?

Accepted Answer

0.12

Answer

For independent events, P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12.

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