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The table below lists the number of messages students sent on their cell phones in a 24-hour period.

Create a histogram to show the data collected.

[tex]\[
\begin{tabular}{|c|c|}
\hline
Interval & Frequency \\
\hline
$0-5$ & 8 \\
\hline
$6-10$ & 12 \\
\hline
$11-15$ & 28 \\
\hline
$16-20$ & 32 \\
\hline
$21-25$ & 40 \\
\hline
$26-30$ & 16 \\
\hline
$31+$ & 6 \\
\hline
\end{tabular}
\][/tex]



Answer :

GinnyAnswer
Sure! Let's create a histogram to represent the data collected on the number of messages students sent on their cell phones in a 24-hour period. Below are the steps for creating the histogram:

1. Identify the Intervals and Frequencies:
- Intervals: [tex]\(0-5\)[/tex], [tex]\(6-10\)[/tex], [tex]\(11-15\)[/tex], [tex]\(16-20\)[/tex], [tex]\(21-25\)[/tex], [tex]\(26-30\)[/tex], [tex]\(31+\)[/tex]
- Frequencies: 8, 12, 28, 32, 40, 16, 6

2. Choose an appropriate scale for the vertical axis (Frequency):
- The frequencies range from 6 to 40. Therefore, we can use increments like 5 or 10 to make it easier to plot the frequencies.

3. Draw the Horizontal Axis (Intervals):
- Plot the intervals [tex]\(0-5\)[/tex], [tex]\(6-10\)[/tex], [tex]\(11-15\)[/tex], [tex]\(16-20\)[/tex], [tex]\(21-25\)[/tex], [tex]\(26-30\)[/tex], [tex]\(31+\)[/tex] on the x-axis.

4. Draw the Vertical Axis (Frequency):
- Use a suitable scale for the frequency values on the y-axis, such as increments of 5 or 10.

5. Plot the Bars for Each Interval:
- For each interval, draw a bar that corresponds to the frequency of that interval.

Here's how the histogram should look:

```plaintext
Frequency
^
|
|
|
|
| +++
| +++
| +++
| +++
| +++ +++
| +++ +++
| +++ +++
| +++ +++ +++
| +++ +++ +++
| +++ +++ +++
| +++ +++ +++ +++
| +++ +++ +++ +++
| +++ +++ +++ +++
| +++ +++ +++ +++
| +++ +++ +++ +++
| +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++ +++
| +++ +++ +++ +++ +++ +++
+----------------------------------------------
0-5 6-10 11-15 16-20 21-25 26-30 31+
(8) (12) (28) (32) (40) (16) (6)

```

In the histogram:
- Each interval is represented on the x-axis.
- The height of each bar represents the frequency of messages sent, as indicated in parentheses.

This visual representation helps to clearly display the distribution of message counts sent by students within each interval.

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