A defunct website listed the​ "average" annual income for Florida as​ $35,031. What is the role of the term average in​ statistics? Should another term be used in place of​ average?

Respuesta :

Answer:

For this case the average is an statistic unbiased for the population parameter [tex] \mu[/tex]

And the average is calculated with the following formula:

[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

Where n represent the sample size

N represent the population size, and X the observations for this case the annual income.

This statistic is an unbiased estimator of the population mean since [tex] E(\bar X) = \mu [/tex]

After calculate the average they got:

[tex] \bar X= 35031[/tex]

And we can use the term "sample mean" instead of the average, and is a measure of central tendency for the data

Step-by-step explanation:

For this case the average is an statistic unbiased for the population parameter [tex] \mu[/tex]

And the average is calculated with the following formula:

[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

Where n represent the sample size

N represent the population size, and X the observations for this case the annual income.

This statistic is an unbiased estimator of the population mean since [tex] E(\bar X) = \mu [/tex]

After calculate the average they got:

[tex] \bar X= 35031[/tex]

And we can use the term "sample mean" instead of the average, and is a measure of central tendency for the data