Answer :
Sure, let's break down the problem into simpler steps to understand how we arrive at the relative frequency of male computer science majors.
1. Identify the total number of students surveyed:
The problem states that a sample of 334 students at a university is surveyed.
2. Identify the number of male computer science majors:
According to the contingency table, there are 47 male computer science majors.
3. Calculate the relative frequency:
The relative frequency is found by dividing the number of male computer science majors by the total number of students surveyed.
[tex]\[ \text{Relative frequency} = \frac{\text{Number of male computer science majors}}{\text{Total number of students}} = \frac{47}{334} \][/tex]
4. Simplify the fraction and calculate the value:
After performing the division, we get:
[tex]\[ \frac{47}{334} \approx 0.1407185628742515 \][/tex]
5. Round the result to two decimal places:
To provide a more concise answer, we'll round the relative frequency to two decimal places.
[tex]\[ 0.1407185628742515 \approx 0.14 \][/tex]
Therefore, the relative frequency of male computer science majors among all the students in the sample is [tex]\(0.14\)[/tex].
1. Identify the total number of students surveyed:
The problem states that a sample of 334 students at a university is surveyed.
2. Identify the number of male computer science majors:
According to the contingency table, there are 47 male computer science majors.
3. Calculate the relative frequency:
The relative frequency is found by dividing the number of male computer science majors by the total number of students surveyed.
[tex]\[ \text{Relative frequency} = \frac{\text{Number of male computer science majors}}{\text{Total number of students}} = \frac{47}{334} \][/tex]
4. Simplify the fraction and calculate the value:
After performing the division, we get:
[tex]\[ \frac{47}{334} \approx 0.1407185628742515 \][/tex]
5. Round the result to two decimal places:
To provide a more concise answer, we'll round the relative frequency to two decimal places.
[tex]\[ 0.1407185628742515 \approx 0.14 \][/tex]
Therefore, the relative frequency of male computer science majors among all the students in the sample is [tex]\(0.14\)[/tex].