Question

the box - and - whisker plot below shows the same data.
0 2 4 6 8 10 12 14 16 18 20 22 24
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:

The appearance of skewness or symmetry in a histogram can be affected by the choice of x - axis intervals. If the intervals on the x - axis of a histogram are too large, it can distort the visual representation of the data's distribution, making it seem skewed when it might not be in reality. The y - axis interval affects the height of the bars and not the shape of the distribution. Inconsistent x - axis intervals are not the main reason for the difference in appearance here, and the box - and - whisker plot's interval size is not relevant to the histogram's appearance.

Answer:

The intervals on the x - axis of the histogram are too large.