The number of absences during the fall semester was recorded for each student in a large elementary school. The distribution of absences is displayed in the following cumulative relative frequency graph.

If the distribution of absences was displayed in a histogram, what would be the best description of the histogram’s shape?

a. Symmetric

b. Uniform

c. Skewed left

d. Skewed right

e. Cannot be determined

We can investigate the location in a distribution using a cumulative relative frequency graph. You can estimate the percentile for an individual value using the completed graph, and vice versa.

The cumulative relative frequency graph shows that

Keep in mind that

The slope between $0$ and $4$ is substantially steeper than the curve between $6$ and $14$

Then

Because most of the data values are between $0$ and $4$ (where the histogram's highest bar appears) and relatively few values lie between $6$ and $14,$ the histogram's distribution should be skewed to the right, resulting in low bars tailing to the right side of the highest bars.

Because there are more data values between $0$ and $4$ than between $6$ and $14,$ we can conclude that skewed right is the best description of the histogram's form. Therefore, the correct answer will be an option (d).