Question

the students in marys 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:

• In a right - skewed distribution:
• The tail of the distribution is on the right side.
• The mean is pulled in the direction of the tail (right side).
• The median is less affected by extreme values. So, the mean is greater than the median.
• Looking at the frequency table, as the area increases, the frequency first increases and then decreases. But the last class (140 - 160) has a very low frequency. If we were to plot a histogram, the "tail" (the part with lower frequencies for larger values) is on the right.

Answer:

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