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:

Step1: Understand skewness - mean - median relationship

In a right - skewed distribution, the tail is on the right side. The mean is pulled in the direction of the tail. So, in a right - skewed distribution, the mean is greater than the median. In a left - skewed distribution, the tail is on the left side and the mean is less than the median.

Step2: Analyze the frequency table to determine skewness

As the frequency decreases as the area increases (4 in the 60 - 80 range, 6 in 80 - 100, 5 in 100 - 120, 3 in 120 - 140, 1 in 140 - 160), the histogram will be right - skewed.

Answer:

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