BGS, BSGS Bachelor of General Studies Mathematics and Statistics 2

Question 1

What does a positive correlation between two variables indicate?

Accepted Answer

As one variable increases, the other also tends to increase

Answer

A positive correlation means the two variables move in the same direction — when one goes up, the other tends to go up too.

Question 2

What is the difference between a 'population' and a 'sample' in statistics?

Accepted Answer

A population includes all members of a group; a sample is a subset selected for study

Answer

A population is the entire group of interest, while a sample is a smaller portion drawn from it to make inferences.

Question 3

What does the 'range' of a data set measure?

Accepted Answer

The spread from the minimum to maximum value

Answer

The range is the difference between the largest and smallest values in a data set, indicating overall spread.

Question 4

What is a 'hypothesis' in statistical testing?

Accepted Answer

A testable statement or prediction about a population parameter

Answer

In hypothesis testing, a hypothesis is a claim about a population that is evaluated using sample data.

Question 5

What does the Pythagorean theorem state about a right triangle?

Accepted Answer

The square of the hypotenuse equals the sum of the squares of the other two sides

Answer

The Pythagorean theorem states that a² + b² = c², where c is the length of the hypotenuse.

BGS, BSGS Bachelor of General Studies Practice Test