Question

question 7 (1 point)
suppose that in a small town of 20 people, one person earns $90,000 per year and the other 19 each earn $20,000. which is the better measure of the \center\: the mean or the median?
the mean. the average is the only way to measure the center of data.
the mean. since only one value is different the average is a good measure of the center.
the median. the median gives the center value of the data when ordered and would better represent the typical salary for people in the town as 19 people earn $20,000 and the one person that earns $90,000 is an outlier.
neither. since not everyone earns the same amount it doesnt make sense to find a center for the data.

Explanation:

The median is less affected by outliers. Here, the $90,000 salary is an outlier. The median would be the 10th and 11th - ordered value. Since 19 people earn $20,000, when ordered, the 10th and 11th values are $20,000. The mean is calculated as LXI0. The mean is pulled up by the outlier, while the median of $20,000 better represents the typical salary of the majority (19 out of 20 people).

Answer:

The Median. The median gives the center value of the data when ordered and would better represent the typical salary for people in the town as 19 people earn $20,000 and the one person that earns $90,000 is an outlier.