Is the mean found in the preceding exercise a statistic or a parameter?

Verified step by step guidance

1. Understand the difference between a statistic and a parameter: A statistic is a numerical value that describes a characteristic of a sample, while a parameter is a numerical value that describes a characteristic of a population.
2. Identify whether the mean in the preceding exercise was calculated from a sample or the entire population. If it was calculated from a sample, it is a statistic. If it was calculated from the entire population, it is a parameter.
3. Recall that a sample is a subset of the population, and the population includes all individuals or items of interest.
4. Determine the context of the preceding exercise to see if the mean was derived from a subset (sample) or the whole group (population).
5. Conclude whether the mean is a statistic or a parameter based on the information about whether it pertains to a sample or the population.

Key Concepts

Statistic

A statistic is a numerical value that describes a characteristic of a sample, which is a subset of a larger population. It is calculated from data collected from that sample and is used to estimate population parameters. For example, the average score of a class on a test is a statistic, as it reflects only the students in that class.

Parameter

A parameter is a numerical value that describes a characteristic of an entire population. Unlike a statistic, which is derived from a sample, a parameter represents the true value for the whole group. For instance, the average height of all adults in a country is a parameter, as it encompasses the entire population rather than just a sample.

Mean

The mean, often referred to as the average, is a measure of central tendency calculated by summing all values in a dataset and dividing by the number of values. It can be classified as either a statistic or a parameter depending on whether it is derived from a sample (statistic) or the entire population (parameter). Understanding the context of the data is crucial to determine which classification applies.