QuestionA country has 45 states. If the average area is 180,126 km², is this a statistic or a parameter? Choose A, B, C, or D.
Studdy Solution
STEP 1
Assumptions1. The total number of states in the country is45.
. The areas of all45 states are added and the sum is divided by45.
3. The result of this calculation is180,126 square kilometers.
STEP 2
We need to understand the difference between a statistic and a parameter.A statistic is a numerical measurement describing some characteristic of a sample, which is a subset of the population.A parameter is a numerical measurement describing some characteristic of a population, which is the entire group that is the subject of our study.
STEP 3
In this case, the result of180,126 square kilometers is a measure that describes some characteristic of all45 states in the country.
STEP 4
Since the measure includes all states in the country, it is describing a characteristic of the entire population.
STEP 5
Therefore, the result is a parameter, not a statistic.The correct answer is B. The result is a parameter because it describes some characteristic of a population.
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