The following distribution gives the mass o 48 objects measured to the nearest gram. Draw a histogram to illustrate the data.

Note that, class intervals have varying base widths as well as inclusive type of data. This changes how we generally draw a histogram.

We need to convert the data into exclusive type and find length of rectangles for each class interval because length of rectangle will determine y-axis now, while class interval will be represented on the x-axis.

Length of the rectangle is given by,

Where C = minimum class width of the data set.

Here, note from the table below that C = 4.

Thus, histogram can be drawn following the given table. Table makes our observation and calculation clearer and ensures accuracy of the final answer.

To convert the inclusive type of data into exclusive type of data, subtract 0.5 from each lower value of the class interval and add 0.5 to each upper value of the class interval.

The histogram is as follows: