Question

A survey was given to 129 students at a local high school, asking how many hours of television they watched per week. The results are summarized in the table below. Construct and label a frequency histogram of the data with an appropriate scale.

Answer 1

Given:

The table shows the number of hours of television watched by 129 students per week.

To construct and label a frequency histogram of the data:

Explanation:

Since the given class intervals are in the discontinuous form.

In a histogram, the bars should be continuously placed without any gap. Hence we should make the class intervals continuous.

So, let us find the adjustment factor.

$\begin{gathered} Adjustment\text{ }Factor=\frac{1}{2}\lbrack lower\text{ }limit\text{ of the class interval}-\text{upper limit of the preceding class interval\rbrack} \\ =\frac{1}{2}\lbrack2-1\rbrack \\ =\frac{1}{2} \\ =0.5 \end{gathered}$

So, the table becomes,

The histogram graph is,