which of the following statements are true? check all of the boxes that apply. the female dog graph is…

which of the following statements are true? check all of the boxes that apply. the female dog graph is skewed. the range for female dogs is much larger than the range for male dogs. the female dog data is best represented by the median. the female dog data is less skewed than the male dog data.

which of the following statements are true? check all of the boxes that apply. the female dog graph is skewed. the range for female dogs is much larger than the range for male dogs. the female dog data is best represented by the median. the female dog data is less skewed than the male dog data.

Answer

Explanation:

Step1: Analyze skewness

Skewness can be observed from the position of the median within the box - and - whisker plot. The female dog box - and - whisker plot has the median closer to the center of the box, indicating less skewness compared to the male dog plot. So, the statement "The female dog data is less skewed than the male dog data" is true. The female dog graph is not skewed as much, so "The female dog graph is skewed" is false.

Step2: Analyze range

The range is the difference between the maximum and minimum values. For male dogs, the range is approximately (95 - 40=55). For female dogs, the range is approximately (100 - 45 = 55). So, "The range for female dogs is much larger than the range for male dogs" is false.

Step3: Analyze best - representation

Since the female dog data is relatively symmetric (less skewed), the mean and median would be good representatives. But when data is not perfectly symmetric, the median is often a better measure. So, "The female dog data is best represented by the median" is true.

Answer:

The female dog data is best represented by the median. The female dog data is less skewed than the male dog data.