Answer:
For this case the average is an statistic unbiased for the population parameter ![\mu](https://tex.z-dn.net/?f=%20%5Cmu)
And the average is calculated with the following formula:
![\bar X = \frac{\sum_{i=1}^n X_i}{n}](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%3D%20%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20X_i%7D%7Bn%7D)
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 ![E(\bar X) = \mu](https://tex.z-dn.net/?f=%20E%28%5Cbar%20X%29%20%3D%20%5Cmu%20)
After calculate the average they got:
![\bar X= 35031](https://tex.z-dn.net/?f=%20%5Cbar%20X%3D%2035031)
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 ![\mu](https://tex.z-dn.net/?f=%20%5Cmu)
And the average is calculated with the following formula:
![\bar X = \frac{\sum_{i=1}^n X_i}{n}](https://tex.z-dn.net/?f=%20%5Cbar%20X%20%3D%20%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20X_i%7D%7Bn%7D)
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 ![E(\bar X) = \mu](https://tex.z-dn.net/?f=%20E%28%5Cbar%20X%29%20%3D%20%5Cmu%20)
After calculate the average they got:
![\bar X= 35031](https://tex.z-dn.net/?f=%20%5Cbar%20X%3D%2035031)
And we can use the term "sample mean" instead of the average, and is a measure of central tendency for the data