Question

the students in martys math class recorded the dimensions of their bedrooms in a frequency table. create a histogram to represent the data. which statement is most likely true about the mean and the median of the data? bedroom areas 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:

• Skewness determination:
• In a right - skewed distribution, the tail is on the right side. Looking at the frequencies \(4,6,5,3,1\), as the area increases, the frequency first increases and then decreases, but the smaller frequencies are on the higher - area (right) side. So, the histogram is right - skewed.
• Mean and median relationship:
• The mean is affected by extreme values. In a right - skewed distribution, the few larger values (in the right - tail) pull the mean towards the right. The median is the middle value. Since the mean is pulled by the extreme (larger) values in the right - tail, for a right - skewed distribution, the mean is greater than the median.

Answer:

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