Question

the box - and - whisker plot below shows the same data. which of the following best explains why one graph appears skewed and one graph appears symmetric? the intervals on the x - axis of the histogram are too large. the interval on the y - axis of the histogram is too small. the interval on the x - axis of the histogram is inconsistent. the interval on the box - and - whisker plot is too small.

Explanation:

Step1: Analyze the histogram intervals

In the histogram, the intervals \(0 - 4\), \(5 - 9\), \(10 - 14\), \(20 - 24\) are inconsistent. The first interval has a width of \(4\), the second and third have a width of \(5\), and the fourth has a width of \(4\). This inconsistency can distort the visual perception of the data's shape.

Step2: Analyze the box - and - whisker plot

A box - and - whisker plot is based on quartiles and is not affected by interval width in the same way as a histogram. It shows the distribution based on median, quartiles, and range.

Answer:

The interval on the \(x\) - axis of the histogram is inconsistent.