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To determine the total number of students who participated in the study, you need to sum up the frequencies for each stress rating. Here is the step-by-step solution:
1. List out the stress ratings and their corresponding frequencies from the given frequency distribution:
- Stress Rating 0: 6 students
- Stress Rating 1: 3 students
- Stress Rating 2: 4 students
- Stress Rating 3: 11 students
- Stress Rating 4: 14 students
- Stress Rating 5: 20 students
- Stress Rating 6: 15 students
- Stress Rating 7: 29 students
- Stress Rating 8: 31 students
- Stress Rating 9: 10 students
- Stress Rating 10: 16 students
2. Add up all the frequencies to find the total number of students involved in the study:
[tex]\[ 6 + 3 + 4 + 11 + 14 + 20 + 15 + 29 + 31 + 10 + 16 \][/tex]
3. Perform the addition step by step:
[tex]\[ 6 + 3 = 9 \][/tex]
[tex]\[ 9 + 4 = 13 \][/tex]
[tex]\[ 13 + 11 = 24 \][/tex]
[tex]\[ 24 + 14 = 38 \][/tex]
[tex]\[ 38 + 20 = 58 \][/tex]
[tex]\[ 58 + 15 = 73 \][/tex]
[tex]\[ 73 + 29 = 102 \][/tex]
[tex]\[ 102 + 31 = 133 \][/tex]
[tex]\[ 133 + 10 = 143 \][/tex]
[tex]\[ 143 + 16 = 159 \][/tex]
4. Therefore, the total number of students involved in the study is [tex]\(159\)[/tex].
1. List out the stress ratings and their corresponding frequencies from the given frequency distribution:
- Stress Rating 0: 6 students
- Stress Rating 1: 3 students
- Stress Rating 2: 4 students
- Stress Rating 3: 11 students
- Stress Rating 4: 14 students
- Stress Rating 5: 20 students
- Stress Rating 6: 15 students
- Stress Rating 7: 29 students
- Stress Rating 8: 31 students
- Stress Rating 9: 10 students
- Stress Rating 10: 16 students
2. Add up all the frequencies to find the total number of students involved in the study:
[tex]\[ 6 + 3 + 4 + 11 + 14 + 20 + 15 + 29 + 31 + 10 + 16 \][/tex]
3. Perform the addition step by step:
[tex]\[ 6 + 3 = 9 \][/tex]
[tex]\[ 9 + 4 = 13 \][/tex]
[tex]\[ 13 + 11 = 24 \][/tex]
[tex]\[ 24 + 14 = 38 \][/tex]
[tex]\[ 38 + 20 = 58 \][/tex]
[tex]\[ 58 + 15 = 73 \][/tex]
[tex]\[ 73 + 29 = 102 \][/tex]
[tex]\[ 102 + 31 = 133 \][/tex]
[tex]\[ 133 + 10 = 143 \][/tex]
[tex]\[ 143 + 16 = 159 \][/tex]
4. Therefore, the total number of students involved in the study is [tex]\(159\)[/tex].
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