Question

the students in marys math class recorded the dimensions of their bedrooms in a frequency table. bedroom areas

area (sq. ft)	number of bedrooms
80 ≤ a < 100	6
100 ≤ a < 120	5
120 ≤ a < 140	3
140 ≤ a < 160	1

create a histogram to represent the data. which statement is most likely true about the mean and the median of the data?
the histogram is right - skewed, so the mean is less than the median.
the histogram is right - skewed, so the mean is greater than the median.
the histogram is left - skewed, so the mean is less than the median.
the histogram is left - skewed, so the mean is greater than the median.

Explanation:

In a right - skewed distribution, the tail of the distribution extends to the right. The mean is pulled in the direction of the tail. So, the mean is greater than the median. In a left - skewed distribution, the tail extends to the left and the mean is less than the median. Since the data here is likely to result in a right - skewed histogram (higher frequencies for lower area values and lower frequencies for higher area values), the mean will be greater than the median.

Answer:

The histogram is right - skewed, so the mean is greater than the median.