Question

A particular country has 60 total states. if the areas of all 60 states are added and the sum is divided by 60​, the result is 212 comma 469 square kilometers. determine whether this result is a statistic or a parameter. choose the correct answer below.
a. the result is a parameter 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 statistic because it describes some characteristic of a sample.
d. the result is a parameter because it describes some characteristic of a population.

Answer 1

A particular country has 60 total states. if the areas of all 60 states are added and the sum is divided by 60​, the result is 212 comma 469 square kilometers. determine whether this result is a statistic or a parameter.

Answer: Before solving the given question, let us understand what the parameter and statistic is:

Parameter: Parameter is a number that summarizes data for an entire population. Like Population mean $\mu,$ Population standard deviation $\sigma$

Statistic: Statistic is a number that summarizes data for a sample. Like sample mean $\bar{x},$ sample standard deviation $s$.

From the given information, we can clearly see that given characteristic describes the population.

Therefore, the option d is correct

d. the result is a parameter because it describes some characteristic of a population. is correct.