Question

Create a histogram for the data set: 81, 65, 2, 24, 25, 44, 97, 12, 38, 37

Answer 1

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.

`\begin{gathered} Range=Max-Min \\ Range=97-2 \\ Range=95 \end{gathered}`

3. Determine the number of intervals by getting the square root of the total number of values stated in step 1.

`Intervals=√(10)=3.16\approx3`

4. Determine the class width by dividing the range by the number of intervals.

`\begin{gathered} ClassWidth=Range/ Intervals \\ ClassWidth=95/3=31.6667\approx32 \end{gathered}`

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.