To construct a histogram, here are the steps:
1. Determine how many values we have. In the given information, we have 10 values.
2. Determine the range by subtracting the minimum value from the maximum value.
[tex]\begin{gathered} Range=Max-Min \\ Range=97-2 \\ Range=95 \end{gathered}[/tex]3. Determine the number of intervals by getting the square root of the total number of values stated in step 1.
[tex]Intervals=\sqrt{10}=3.16\approx3[/tex]4. Determine the class width by dividing the range by the number of intervals.
[tex]\begin{gathered} ClassWidth=Range\div Intervals \\ ClassWidth=95\div3=31.6667\approx32 \end{gathered}[/tex]5. Let's create a table with the calculated class width and count the data that belongs in that interval.
6. Let's now create the histogram. The y-axis will be the frequency. The x-axis will be the class intervals.