Histograms are bar graphs that display how many times data values appear within specific intervals or bins. Each bin is represented by a rectangle, with a height that corresponds to the number of values in that bin. Therefore, to create a histogram for the given data, we need to choose a bin size, which should include all the data values.
In this case, we can choose a bin size of 3, starting from 5 to 24, and divide the data into the following bins: 5-7, 8-10, 11-13, 14-16, 17-19, 20-22, and 23-25. Next, we count the number of data points that fall into each bin and represent it using bars.
Looking at the given histogram options, it is clear that only histogram B represents the data accurately. It has bins that cover 5-7, 8-10, 11-13, 14-16, 17-19, 20-22, and 23-25. The height of each bar accurately represents the number of data points in that bin.
Therefore, we can conclude that histogram B best represents the data collected.