The campaign director for a Texas governor's candidate is planning a multi-stage sample survey. In the first stage, the director will randomly choose $15\text{ counties}$. The partial histogram below shows the population by county for Texas (the five highest outlier counties have been omitted).

The average population for all $254\text{ counties}$ is $99{,}423\text{ people}$ with a standard deviation of $354{,}429\text{ people}$.

Describe the sampling distribution of the mean population for samples of $15\text{ counties}$.

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