Question

A large college wishes to determine the average SAT scores for students who apply from New York. They surveyed 105 students from New York and discovered a mean SAT score of 1519. Which of the statements below represent the parameter and the statistic, respectively, of the survey?

I. The mean SAT score of all students from New York
II. The mean SAT score of 105 students from New York
III. The 105 students who apply to the college from New York
IV. All students who apply to the college from New York

Statements I and IV
Statements II and III
Statements I and II
Statements II and IV

Answer 1

Statements I and II

Explanation:

In Statistics, parameter is any numerical value that characterizes a population while statistics are numerical values that characterizes a sample from a given population.

Statistics are most often used to estimate the population parameters

For example the sample mean is a statistic and the population mean is a paranmeter

The mean SAT score of all students from New York is the parameter.

The mean SAT score of 105 students from New York is called the statistic.

The correct choice is the third option.