Question

g A particular country has 45 total states. If the areas of 25 states are added and the sum is divided by 25​, the result is 191 comma 193 square kilometers. Determine whether this result is a statistic or a parameter. Choose the correct answer below. A. The result is a statistic because it describes some characteristic of a sample. B. The result is a statistic because it describes some characteristic of a population. C. The result is a parameter because it describes some characteristic of a population. D. The result is a parameter because it describes some characteristic of a sample.

Answer 1

A. The result is a statistic because it describes some characteristic of a sample

Explanation:

From the question, there are 45 states all together, while the average area of 25 was computed (Sum of area of 25 states/25 states).

When some data are obtained (randomly or with bias) from a population, you call it a sample. Computing averages (means), standard deviation and other parameters from some samples derived from a population is called statistic.

When measures of central tendencies (mean), variabilites (variance) are computed without considering and testing with parameters (population mean, population deviation) from the population, then you are describing the statistic of a sample.

On the other hand if the population parameters were considered and tested using some test like standard Z test, normal curve, then option B would be the answer.