Question

How to draw a histogram using the initial class boundary of .5 and a class width of 9?

Answer 1

To construct the required histogram, the first thing we will do is construct the classes, it was pointed that the initial class boundary is 0.9 and the width of the class is 9, therefore the classes are

Now we have to determine the heights of the boxes for every class, this is achieved counting how many registers are in each class. We do this by looking at the data provided as follows:

`\begin{gathered} [0.5,9.5)\text{ Contains 5 registes the 7,2,6,1,9} \\ \\ \text{ }[9.5,18.5)\text{ contains 4 registers the 16,11,15,10} \\ \\ \text{ }[18.5,27.5)\text{ Contains 6 registers the 27,22,25,20,24,24} \\ \\ \text{ }[27.5,36.5]\text{ contains 7 registers the 37,32,36,31,29,29,29} \end{gathered}`

Now we construct the boxes over the class intervals with the information collected above.

Which is the required histogram.