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Kona's mother wanted to find out how many minutes her family spends on the phone for each call made. She recorded the data in a table after a week of observation as shown below. She asked Kona to make a histogram from the data.

\begin{tabular}{|c|c|}
\hline Minutes & Number of Calls \\
\hline [tex]$1-5$[/tex] & 2 \\
\hline [tex]$6-10$[/tex] & 5 \\
\hline [tex]$11-15$[/tex] & 6 \\
\hline [tex]$16-20$[/tex] & 10 \\
\hline [tex]$21-25$[/tex] & 7 \\
\hline [tex]$26-30$[/tex] & 2 \\
\hline [tex]$31-35$[/tex] & 1 \\
\hline [tex]$36-40$[/tex] & 0 \\
\hline [tex]$41-45$[/tex] & 2 \\
\hline [tex]$46-50$[/tex] & 1 \\
\hline
\end{tabular}

Which chart has the correct setup for Kona's histogram?

Sagot :

GinnyAnswer
To construct a histogram, you need to have bars that represent the frequencies of data within specified intervals or bins. In this case, the intervals are in minutes, and the frequencies are the number of calls made in those intervals.

Here is the setting for the histogram based on the given data:

1. X-axis (Horizontal Axis): This will represent the intervals of minutes.
- The intervals are: "1-5", "6-10", "11-15", "16-20", "21-25", "26-30", "31-35", "36-40", "41-45", "46-50".

2. Y-axis (Vertical Axis): This will represent the number of calls.
- The frequency values are: 2, 5, 6, 10, 7, 2, 1, 0, 2, 1.

The histogram will have the following setup:

- For the interval "1-5" minutes, there will be a bar reaching up to 2 on the Y-axis.
- For the interval "6-10" minutes, there will be a bar reaching up to 5 on the Y-axis.
- For the interval "11-15" minutes, there will be a bar reaching up to 6 on the Y-axis.
- For the interval "16-20" minutes, there will be a bar reaching up to 10 on the Y-axis.
- For the interval "21-25" minutes, there will be a bar reaching up to 7 on the Y-axis.
- For the interval "26-30" minutes, there will be a bar reaching up to 2 on the Y-axis.
- For the interval "31-35" minutes, there will be a bar reaching up to 1 on the Y-axis.
- For the interval "36-40" minutes, there will be no bar (height 0).
- For the interval "41-45" minutes, there will be a bar reaching up to 2 on the Y-axis.
- For the interval "46-50" minutes, there will be a bar reaching up to 1 on the Y-axis.

So the correct histogram will have bars with the heights corresponding to the number of calls for each time interval. Here's a visualization of what the histogram bars' heights should be:

```
^
10 | __
9 | | |
8 | | |
7 | | | __
6 | | | | |
5 | | | | | __
4 | | | | | | |
3 | | | | | | |
2 | __ | | __ | | __ | |
1 | | | | | | | | | | || | __ __
0 | |__| |__| |__| |__| |__||__| |__| __ |__|
-----------------------------------------------
1-5 6-10 11-15 16-20 21-25 26-30 31-35 36-40 41-45 46-50
Minutes Intervals
```

Each interval on the X-axis has a bar whose height on the Y-axis matches the number of calls in that interval. This represents the correct setup for the histogram based on the given data.
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