Here are the prices for biweekly lawn mowing services for 13 local companies: 15, 15, 20, 30, 30, 35, 40, 40, 40, 40, 50, 50, 50 Which measure of center—mean or median—best represents the shape of the distribution?
A)Mean; the shape of the distribution is skewed to the left.
B)Median; the shape of the distribution is skewed to the left.
C)Mean; the shape of the distribution is close to symmetrical.
D)Median; the shape of the distribution is skewed to the right.
B)Median; the shape of the distribution is skewed to the left.
The median is typically a better measure of center for skewed distributions because it is not affected by extreme values like the mean is. In this case, with prices ranging from 15 to 50, the distribution is likely skewed to the left, which means the median would be a more representative measure of center.