A questionnaire was given to students. The first question asked was:

"How stressed have you been in the last week on a scale of 0 to 10, with 0 being not stressed at all and 10 being as stressed as possible?"

The responses are shown in the table.

\begin{tabular}{|c|c|}
\hline
Stress Rating & Frequency \\
\hline
0 & 4 \\
\hline
1 & 1 \\
\hline
2 & 5 \\
\hline
3 & 12 \\
\hline
4 & 20 \\
\hline
5 & 17 \\
\hline
6 & 20 \\
\hline
7 & 28 \\
\hline
8 & 22 \\
\hline
9 & 10 \\
\hline
10 & 17 \\
\hline
\end{tabular}

a. Which stress rating describes the least number of students?
[tex]$\square$[/tex] out of 10
(Type a whole number.)

b. How many students responded with this rating?
[tex]$\square$[/tex] students
(Type a whole number.)



Answer :

To determine the answers to this question, let's break it down step by step.

### a. Finding the Stress Rating with the Least Number of Students

1. Identify the frequencies given for each stress rating:
- Stress Rating 0: Frequency 4
- Stress Rating 1: Frequency 1
- Stress Rating 2: Frequency 5
- Stress Rating 3: Frequency 12
- Stress Rating 4: Frequency 20
- Stress Rating 5: Frequency 17
- Stress Rating 6: Frequency 20
- Stress Rating 7: Frequency 28
- Stress Rating 8: Frequency 22
- Stress Rating 9: Frequency 10
- Stress Rating 10: Frequency 17

2. Determine the minimum frequency:
By comparing all the frequencies, we see that the smallest frequency is 1.

3. Identify the corresponding stress rating:
The stress rating associated with this minimum frequency is 1 (since Stress Rating 1 has a Frequency of 1).

Thus, the stress rating that describes the least number of students is:
[tex]\[ \boxed{1} \text{ out of 10} \][/tex]

### b. Number of Students with the Least Stress Rating

1. Determine the frequency of the stress rating identified in part (a):
We know that the frequency of the stress rating 1 is 1.

Therefore, the number of students who responded with this rating is:
[tex]\[ \boxed{1} \text{ students} \][/tex]

So, as determined, the stress rating that describes the least number of students is 1, and the number of students who responded with this rating is 1.