Question

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.

Explanation:

Step1: Analyze skewness

Skewness can be observed from the box - and - whisker plot. The female dog graph has a longer left - hand whisker, indicating left - skewness. So, the statement "The female dog graph is skewed" is true.

Step2: Calculate range

The range is the difference between the maximum and minimum values. For male dogs, assume minimum is around 45 and maximum is around 95, range is \(95 - 45=50\). For female dogs, assume minimum is around 40 and maximum is around 90, range is \(90 - 40 = 50\). So, the statement "The range for female dogs is much larger than the range for male dogs" is false.

Step3: Consider measure of central tendency

When data is skewed, the median is a better measure of central tendency. Since female dog data is skewed, the statement "The female dog data is best represented by the median" is true.

Step4: Compare skewness

The male dog data appears more symmetric compared to the female dog data. So, the statement "The female dog data is less skewed than the male dog data" is false.

Answer:

The female dog graph is skewed.
The female dog data is best represented by the median.