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.
### 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.
