Gaokao Exam Mathematics: Probability and Statistics

Question 1

A bag contains 3 red balls and 5 blue balls. If one ball is drawn at random, what is the probability of drawing a red ball?

Accepted Answer

3/8

Answer

1/4

Answer

5/8

Answer

3/5

Question 2

In a dataset of 7 values — 2, 4, 6, 8, 10, 12, 14 — what is the median?

Accepted Answer

8

Answer

6

Answer

7

Answer

10

Question 3

If P(A) = 0.4 and P(B) = 0.3 and events A and B are mutually exclusive, what is P(A ∪ B)?

Accepted Answer

0.70

Answer

0.12

Answer

0.58

Answer

0.82

Question 4

A fair six-sided die is rolled twice. What is the probability of getting a sum of 7?

Accepted Answer

1/6

Answer

1/9

Answer

5/36

Answer

7/36

Question 5

The mean of five numbers is 10. If four of the numbers are 8, 9, 11, and 13, what is the fifth number?

Accepted Answer

9

Answer

7

Answer

10

Answer

11

Question 6

Which measure of central tendency is most affected by an extreme outlier in a dataset?

Accepted Answer

Mean

Answer

Mode

Answer

Median

Answer

Range