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The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.

\begin{tabular}{|c|c|}
\hline Age Range & \begin{tabular}{c}
Number of \\
Sick Patients
\end{tabular} \\
\hline 25 to 29 & 3 \\
\hline 30 to 34 & 6 \\
\hline 35 to 39 & 5 \\
\hline 40 to 45 & 4 \\
\hline
\end{tabular}

Which dot plot could represent the same data as the frequency table?


Sagot :

Certainly! Let's go through the data step-by-step to build the dot plot representation.

First, let's analyze the given frequency table, which indicates the number of patients in each age range diagnosed with influenza:

| Age Range | Number of Sick Patients |
|-------------|-------------------------|
| 25 to 29 | 3 |
| 30 to 34 | 6 |
| 35 to 39 | 5 |
| 40 to 45 | 4 |

Now, we want to represent this information in the form of a dot plot. A dot plot uses dots to show the frequency of values in a dataset. Each dot represents one patient.

1. Age Range: 25 to 29
- Number of sick patients: 3
- Dot Plot Representation: ●●●

2. Age Range: 30 to 34
- Number of sick patients: 6
- Dot Plot Representation: ●●●●●●

3. Age Range: 35 to 39
- Number of sick patients: 5
- Dot Plot Representation: ●●●●●

4. Age Range: 40 to 45
- Number of sick patients: 4
- Dot Plot Representation: ●●●●

To visualize this as a dot plot, we align each age range and place the corresponding number of dots next to it:

```
Age Range Dot Plot
25 to 29 ●●●
30 to 34 ●●●●●●
35 to 39 ●●●●●
40 to 45 ●●●●
```

Therefore, the dot plot that represents the data from the frequency table is:

```
25 to 29 : ●●●
30 to 34 : ●●●●●●
35 to 39 : ●●●●●
40 to 45 : ●●●●
```

This dot plot accurately displays the number of sick patients in each specified age range from your given frequency table.