The box plot shows a set of data.

Select the two statements that with certainty, can be said to describe the data distribution.
A. The data its median at 2. «
B. The data its median at 0.
C. The data its median at 6.
D. The distribution is right-skewed.
E. The data is uniform.
F. The distribution is left-skewed.

1 answer

To accurately determine which statements can be said about the data distribution based on the box plot, we need to consider the following:

  1. The median is represented by the line inside the box.
  2. In a box plot, if the right whisker (the line extending from the box to the right) is longer than the left whisker (the line extending from the box to the left), the distribution may be right-skewed. Conversely, if the left whisker is longer, the distribution may be left-skewed.
  3. A uniform distribution would indicate that all values are spread evenly across the range.

Based on the provided statements:

  • If the median is at 2, 0, or 6, you will need to look for the position of the median line in the box to determine which one is accurate.
  • To consider whether the distribution is right-skewed, left-skewed, or uniform, you will need to examine the lengths of the whiskers and the shape of the box.

Without seeing the actual box plot, I cannot definitively confirm which statements (A, B, C, D, E, F) are correct. However, you should check the box plot for the following:

  • Identify the median line to determine if the median is at 2, 0, or 6.
  • Watch the lengths of the whiskers to assess if it is skewed left or right, or uniform.

Please refer to the box plot to analyze it directly and select the appropriate statements based on the insights above.