Thank you for visiting In a survey conducted by a university students were asked to rate how knowledgeable they feel they are about cryptocurrency Both online and traditional students. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Sure! Let's break down the given survey data into a joint frequency distribution and then convert it to a joint relative frequency distribution.
### a. Joint Frequency Distribution
First, we determine the number of students in each category of knowledge level for both online and traditional students.
1. Online Students:
- Very Knowledgeable: [tex]\(4\% \times 400 = 0.04 \times 400 = 16\)[/tex] students
- Somewhat Knowledgeable: [tex]\(53\% \times 400 = 0.53 \times 400 = 212\)[/tex] students
- Not Knowledgeable: [tex]\(43\% \times 400 = 0.43 \times 400 = 172\)[/tex] students
2. Traditional Students:
- Total number of traditional students = Total students - Online students = [tex]\(600 - 400 = 200\)[/tex]
- Very Knowledgeable: [tex]\(5\% \times 200 = 0.05 \times 200 = 10\)[/tex] students
- Somewhat Knowledgeable: [tex]\(22\% \times 200 = 0.22 \times 200 = 44\)[/tex] students
- Not Knowledgeable: [tex]\(73\% \times 200 = 0.73 \times 200 = 146\)[/tex] students
We can now construct the joint frequency distribution:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Student Type} & \text{Very} & \text{Somewhat} & \text{Not} & \text{Total} \\
\hline
\text{Online} & 16 & 212 & 172 & 400 \\
\text{Traditional} & 10 & 44 & 146 & 200 \\
\hline
\text{Total} & 26 & 256 & 318 & 600 \\
\hline
\end{array}
\][/tex]
### b. Joint Relative Frequency Distribution
The relative frequency is calculated by dividing the frequency of each category by the total number of students (600). We will round these values to four decimal places.
1. Online Students:
- Very Knowledgeable: [tex]\(\frac{16}{600} \approx 0.0267\)[/tex]
- Somewhat Knowledgeable: [tex]\(\frac{212}{600} \approx 0.3533\)[/tex]
- Not Knowledgeable: [tex]\(\frac{172}{600} \approx 0.2867\)[/tex]
2. Traditional Students:
- Very Knowledgeable: [tex]\(\frac{10}{600} \approx 0.0167\)[/tex]
- Somewhat Knowledgeable: [tex]\(\frac{44}{600} \approx 0.0733\)[/tex]
- Not Knowledgeable: [tex]\(\frac{146}{600} \approx 0.2433\)[/tex]
Here is the joint relative frequency distribution:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Student Type} & \text{Very} & \text{Somewhat} & \text{Not} \\
\hline
\text{Online} & 0.0267 & 0.3533 & 0.2867 \\
\text{Traditional} & 0.0167 & 0.0733 & 0.2433 \\
\hline
\end{array}
\][/tex]
These tables summarize how the students rated their knowledge about cryptocurrency, with frequencies and relative frequencies respectively.
### a. Joint Frequency Distribution
First, we determine the number of students in each category of knowledge level for both online and traditional students.
1. Online Students:
- Very Knowledgeable: [tex]\(4\% \times 400 = 0.04 \times 400 = 16\)[/tex] students
- Somewhat Knowledgeable: [tex]\(53\% \times 400 = 0.53 \times 400 = 212\)[/tex] students
- Not Knowledgeable: [tex]\(43\% \times 400 = 0.43 \times 400 = 172\)[/tex] students
2. Traditional Students:
- Total number of traditional students = Total students - Online students = [tex]\(600 - 400 = 200\)[/tex]
- Very Knowledgeable: [tex]\(5\% \times 200 = 0.05 \times 200 = 10\)[/tex] students
- Somewhat Knowledgeable: [tex]\(22\% \times 200 = 0.22 \times 200 = 44\)[/tex] students
- Not Knowledgeable: [tex]\(73\% \times 200 = 0.73 \times 200 = 146\)[/tex] students
We can now construct the joint frequency distribution:
[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Student Type} & \text{Very} & \text{Somewhat} & \text{Not} & \text{Total} \\
\hline
\text{Online} & 16 & 212 & 172 & 400 \\
\text{Traditional} & 10 & 44 & 146 & 200 \\
\hline
\text{Total} & 26 & 256 & 318 & 600 \\
\hline
\end{array}
\][/tex]
### b. Joint Relative Frequency Distribution
The relative frequency is calculated by dividing the frequency of each category by the total number of students (600). We will round these values to four decimal places.
1. Online Students:
- Very Knowledgeable: [tex]\(\frac{16}{600} \approx 0.0267\)[/tex]
- Somewhat Knowledgeable: [tex]\(\frac{212}{600} \approx 0.3533\)[/tex]
- Not Knowledgeable: [tex]\(\frac{172}{600} \approx 0.2867\)[/tex]
2. Traditional Students:
- Very Knowledgeable: [tex]\(\frac{10}{600} \approx 0.0167\)[/tex]
- Somewhat Knowledgeable: [tex]\(\frac{44}{600} \approx 0.0733\)[/tex]
- Not Knowledgeable: [tex]\(\frac{146}{600} \approx 0.2433\)[/tex]
Here is the joint relative frequency distribution:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Student Type} & \text{Very} & \text{Somewhat} & \text{Not} \\
\hline
\text{Online} & 0.0267 & 0.3533 & 0.2867 \\
\text{Traditional} & 0.0167 & 0.0733 & 0.2433 \\
\hline
\end{array}
\][/tex]
These tables summarize how the students rated their knowledge about cryptocurrency, with frequencies and relative frequencies respectively.
Thank you for reading the article In a survey conducted by a university students were asked to rate how knowledgeable they feel they are about cryptocurrency Both online and traditional students. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
