Question

Briefly explain the error in the construction of the histogram below, which illustrates the average quantitative GRE scores to the top 30 graduate schools of engineering.

Answer 1

Histograms are the most widely used method of representation of numerical data. Histograms are made only for continuous types of data.

In case of equal width classes, the height of the bars are proportional to their frequency and in case of unequal class width, the height must be proportional to their frequency density.

Here, in the given histogram, the class width of the each classes are different.

Because of unequal class width during the construction of the histogram contain errors.