Question

Which of the following statements are true? Check all of the boxes that apply. The f dog graph is skewed. The range for f dogs is much larger than the range for male dogs. The f dog data is best represented by the median. The f dog data is less skewed than the male dog data. 2 box-and-whisker plots are on a number line. The number line goes from 40 to 100 in increments of 5. Both plots have whiskers that range from 40 to 100 pounds.The first plot shows the weight of male dogs. The box ranges from 48 to 80 pounds. A line divides the box at 67 pounds. The second plot shows the weight of f dogs. The box ranges from 43 to 67 pounds. A line divides the box at 62 pounds.

Answer 1

The statements "The female
`\text dog` graph is skewed" and "The female
`\text dog` data is best represented by the median" are true (option A and C)

Why are these correct?

Skewness in data is observed when the longer section of the box plot extends more prominently in one direction, either to the right (or above) or to the left (or below) of the median.

In this case, by analyzing the box plot, it becomes evident that the female plot displays skewness. Specifically, it indicates an elongation towards one side, implying a skewed distribution of data in the female dataset.

Also, upon checking the median, it becomes apparent that the median best represents the female
`\text dog` data, signifying its reliability as a central measure within this dataset.

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