The frequency table below displays the reasons why patients visited a walk-in clinic during a certain week.

\begin{tabular}{|c|c|}
\hline
Reason & Number of Patients \\
\hline
Colds and Flu & [tex]$H+H H H I I$[/tex] \\
\hline
Cuts and Scrapes & H\#H H\#IIIIII \\
\hline
Sprained Muscles & HH LH+ II II \\
\hline
Tetanus Shots & [tex]$H +11 II$[/tex] \\
\hline
Severe Headaches & [tex]$HH HH \| III$[/tex] \\
\hline
\end{tabular}

28. What percent of the patients represented in the table visited the walk-in clinic because of sprained muscles?

29. In the week represented in the table, what was the ratio of the number of patients with colds or flu to the number of patients with severe headaches?

A. 4:15



Answer :

To determine the number of patients visiting the walk-in clinic as illustrated in the frequency table, we analyze each row as follows:

1. Colds and Flu:
- Frequency pattern: `H+HHHII`
- Number of Patients: 6
- Explanation: The pattern contains six occurrences of 'H' or 'I', representing individual patients.

2. Cuts and Scrapes:
- Frequency pattern: `H#HH#IIIIII`
- Number of Patients: 9
- Explanation: The pattern contains nine occurrences of 'H' or 'I'.

3. Sprained Muscles:
- Frequency pattern: `HH LH+IIII`
- Number of Patients: 7
- Explanation: The pattern contains seven occurrences of 'H' or 'I'.

4. Tetanus Shots:
- Frequency pattern: `H+11II`
- Number of Patients: 3
- Explanation: The pattern contains three occurrences of 'H' or 'I'.

5. Severe Headaches:
- Frequency pattern: `HH HH | III`
- Number of Patients: 7
- Explanation: The pattern contains seven occurrences of 'H' or 'I'.

The total number of patients:
- Adding up all these patients, we get:
- [tex]\( \text{Colds and Flu} (6) + \text{Cuts and Scrapes} (9) + \text{Sprained Muscles} (7) + \text{Tetanus Shots} (3) + \text{Severe Headaches} (7) = 32 \)[/tex]

Question 28:
To find the percentage of patients who visited the clinic because of sprained muscles:
- Number of patients with sprained muscles: 7
- Total number of patients: 32
- Percentage calculation: [tex]\( \frac{\text{Number of patients with sprained muscles}}{\text{Total number of patients}} \times 100 = \frac{7}{32} \times 100 = 21.875\% \)[/tex]

Therefore, the percentage of patients represented in the table who visited the walk-in clinic because of sprained muscles is:
[tex]\[ \boxed{21.875\%} \][/tex]

Question 29:
To find the ratio of the number of patients with colds or flu to the number of patients with severe headaches:
- Number of patients with colds or flu: 6
- Number of patients with severe headaches: 7
- Ratio: [tex]\( \frac{\text{Number of patients with colds or flu}}{\text{Number of patients with severe headaches}} = \frac{6}{7} \approx 0.857 \)[/tex]

Therefore, the ratio of the number of patients with colds or flu to the number of patients with severe headaches, simplified to the nearest two decimal places or as a whole number ratio:
[tex]\[ \boxed{0.857} \ or \ 6:7 \][/tex]

The detailed calculations conclude that the answers to the questions based on the given frequency table and corresponding patient data are:
- Percentage of patients with sprained muscles: 21.875%
- Ratio of patients with colds or flu to severe headaches: 6:7 or approximately 0.857