Question

In asking all 349 second graders in a school district, it is found that on average, these second graders have 2.5 pets. Is this number a parameter or a statistic and why?

O Parameter as it represents the population
O Parameter as it represents the sample
O Statistic as it represents the sample
O Statistic as it represents the population

Answer 1

Explanation:

O Statistic as it represents the sample

The number 2.5 is considered a statistic because it is calculated from a sample of second graders in a school district. This number is an estimate of the average number of pets that all second graders in the school district have, but it is not the exact number, as the sample may not be fully representative of the population. A parameter, in contrast, is a fixed value that represents a characteristic of a population, such as the population mean or population proportion. Since the number 2.5 is an estimate calculated from a sample and not the exact value of the population, it is considered a statistic.