the students in marys math class recorded the dimensions of their bedrooms in a frequency table.\nbedroom…

the students in marys math class recorded the dimensions of their bedrooms in a frequency table.\nbedroom areas\n| area (sq. ft) | number of bedrooms |\n| ---- | ---- |\n| 60≤a<80 | 4 |\n| 80≤a<100 | 6 |\n| 100≤a<120 | 5 |\n| 120≤a<140 | 3 |\n| 140≤a<160 | 1 |\ncreate a histogram to represent the data. which statement is most likely true about the mean and the median of the data?\nthe histogram is right - skewed, so the mean is less than the median.\nthe histogram is right - skewed, so the mean is greater than the median.\nthe histogram is left - skewed, so the mean is less than the median.\nthe histogram is left - skewed, so the mean is greater than the median.

the students in marys math class recorded the dimensions of their bedrooms in a frequency table.\nbedroom areas\n| area (sq. ft) | number of bedrooms |\n| ---- | ---- |\n| 60≤a<80 | 4 |\n| 80≤a<100 | 6 |\n| 100≤a<120 | 5 |\n| 120≤a<140 | 3 |\n| 140≤a<160 | 1 |\ncreate a histogram to represent the data. which statement is most likely true about the mean and the median of the data?\nthe histogram is right - skewed, so the mean is less than the median.\nthe histogram is right - skewed, so the mean is greater than the median.\nthe histogram is left - skewed, so the mean is less than the median.\nthe histogram is left - skewed, so the mean is greater than the median.

Answer

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.