Ask a New Question
Menu

Choose the most accurate comparison of the distributions shown in the boxplots.

Responses

A None of these statements represents an accurate description of the distributions.None of these statements represents an accurate description of the distributions.

B Both appear to be skewed to the right. The variation in both distributions is approximately the same.Both appear to be skewed to the right. The variation in both distributions is approximately the same.

C Both appear to be skewed to the right. There is more variation in Distribution 2, based on the size of the interquartile range.Both appear to be skewed to the right. There is more variation in Distribution 2, based on the size of the interquartile range.

D Both appear to be skewed to the right. There is more variation in Distribution 1, based on the size of the interquartile range.Both appear to be skewed to the right. There is more variation in Distribution 1, based on the size of the interquartile range.

E Both are relatively symmetric, with medians near the center of the box. The whiskers are similar and show a large spread in the data.

1 answer

To accurately choose the comparison of the distributions based on the boxplots, we would generally look for key features such as symmetry, skewness, the position of the medians, and the size of the interquartile ranges (IQRs).

Given the responses:

  • Option A suggests none of the statements are accurate, which can only be determined if we visually assess the boxplots.
  • Option B claims both distributions are skewed to the right with similar variation, which would need to be validated by examining the IQR and the position of the medians.
  • Option C indicates that both distributions are skewed to the right but states that Distribution 2 has more variation, presumably supported by a larger IQR.
  • Option D states that both distributions are skewed to the right, with more variation in Distribution 1, again relying on IQR size.
  • Option E suggests both distributions are symmetric with near-center medians and similar whiskers, which contradicts the idea of skewness.

To determine the most accurate answer, you would need to visually analyze the boxplots. Based on the choices and generally understanding boxplots:

  • If the boxplots do indeed show both distributions skewed to the right, and Distribution 2 has a larger IQR, then Option C would be the most accurate description.
  • If they are somehow symmetric or not skewed, then Option E could be accurate.

Since I cannot view the boxplots, I cannot definitively choose between these options. You should select the option that best aligns with your observations from the boxplots in question.