In The 9th And 10th Grades At Jefferson High School, There Are 236 Students. Of Those Students, 121 Are In 9th Grade. Of The 214 Students Who Are Right-handed, 103 Of Them Are In 10th Grade.Create The Two-way Frequency Table For This Scenario. Drag

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In the 9th and 10th Grades: A Two-Way Frequency Table Analysis

In this article, we will explore the concept of two-way frequency tables and apply it to a real-world scenario. We will create a two-way frequency table for the students in the 9th and 10th grades at Jefferson High School. This table will help us understand the distribution of students based on their grade level and handedness.

Let's start by examining the data provided:

  • There are 236 students in the 9th and 10th grades.
  • 121 students are in the 9th grade.
  • 214 students are right-handed.
  • 103 of the right-handed students are in the 10th grade.

A two-way frequency table is a table that displays the frequency of each combination of two categorical variables. In this case, the two variables are:

  • Grade level (9th or 10th)
  • Handedness (right-handed or left-handed)

Here is the two-way frequency table for the students at Jefferson High School:

Right-Handed Left-Handed Total
9th Grade 121
10th Grade 115
Total 236

To complete the table, we need to calculate the frequencies for each combination of grade level and handedness.

  • For the 9th grade, we know that 121 students are in this grade. We also know that 214 students are right-handed. Since 103 of the right-handed students are in the 10th grade, the number of right-handed students in the 9th grade is 214 - 103 = 111. Therefore, the frequency for the 9th grade and right-handed is 111.
  • For the 10th grade, we know that 115 students are in this grade. We also know that 103 of the right-handed students are in the 10th grade. Therefore, the frequency for the 10th grade and right-handed is 103.
  • For the left-handed students, we can calculate the frequency by subtracting the number of right-handed students from the total number of students in each grade. For the 9th grade, the frequency for left-handed is 121 - 111 = 10. For the 10th grade, the frequency for left-handed is 115 - 103 = 12.

Here is the updated table:

Right-Handed Left-Handed Total
9th Grade 111 10 121
10th Grade 103 12 115
Total 214 22 236

The two-way frequency table provides a clear picture of the distribution of students based on their grade level and handedness. We can see that:

  • The majority of students (214 out of 236) are right-handed.
  • The majority of students in the 9th grade (111 out of 121) are right-handed.
  • The majority of students in the 10th grade (103 out of 115) are right-handed.

In this article, we created a two-way frequency table for the students in the 9th and 10th grades at Jefferson High School. This table helped us understand the distribution of students based on their grade level and handedness. We calculated the frequencies for each combination of grade level and handedness and updated the table accordingly. The two-way frequency table is a powerful tool for analyzing categorical data and can be applied to a wide range of real-world scenarios.

The two-way frequency table can be used to answer a variety of questions, such as:

  • What is the distribution of students based on their grade level and handedness?
  • Are there any differences in the distribution of students between the 9th and 10th grades?
  • Are there any differences in the distribution of students between right-handed and left-handed students?

These questions can be answered by analyzing the two-way frequency table and using statistical methods to identify patterns and trends in the data.

One limitation of the two-way frequency table is that it only displays the frequency of each combination of grade level and handedness. It does not provide any information about the underlying causes of these frequencies. For example, why are there more right-handed students in the 9th grade than in the 10th grade? To answer this question, we would need to collect additional data and use statistical methods to identify the underlying causes of the frequencies.

Future research could involve collecting additional data on the students at Jefferson High School, such as their academic performance, extracurricular activities, and demographic characteristics. This data could be used to create more complex two-way frequency tables and to identify patterns and trends in the data. Additionally, researchers could use statistical methods to identify the underlying causes of the frequencies and to develop predictive models of student behavior.

In our previous article, we explored the concept of two-way frequency tables and created a table for the students in the 9th and 10th grades at Jefferson High School. In this article, we will answer some frequently asked questions about two-way frequency tables.

A: A two-way frequency table is a table that displays the frequency of each combination of two categorical variables. In this case, the two variables are grade level (9th or 10th) and handedness (right-handed or left-handed).

A: To create a two-way frequency table, you need to have data on the two categorical variables you want to analyze. You can then use a spreadsheet or a statistical software package to create the table. The table will display the frequency of each combination of the two variables.

A: The benefits of using a two-way frequency table include:

  • It helps to identify patterns and trends in the data
  • It allows you to compare the frequencies of different combinations of the two variables
  • It can be used to identify relationships between the two variables

A: To interpret a two-way frequency table, you need to look at the frequencies of each combination of the two variables. You can then use this information to identify patterns and trends in the data. For example, if you see that there are more right-handed students in the 9th grade than in the 10th grade, you can infer that there may be a relationship between handedness and grade level.

A: Yes, you can use a two-way frequency table to make predictions. By analyzing the frequencies of different combinations of the two variables, you can identify patterns and trends in the data. You can then use this information to make predictions about the future.

A: Some common mistakes to avoid when creating a two-way frequency table include:

  • Not having enough data to create a reliable table
  • Not using the correct variables to create the table
  • Not interpreting the table correctly

A: Yes, you can use a two-way frequency table to analyze data from a survey. By creating a table that displays the frequency of each combination of the survey questions, you can identify patterns and trends in the data.

A: To use a two-way frequency table to identify relationships between variables, you need to look at the frequencies of each combination of the two variables. You can then use this information to identify patterns and trends in the data. For example, if you see that there is a strong relationship between handedness and grade level, you can infer that there may be a causal relationship between the two variables.

In this article, we answered some frequently asked questions about two-way frequency tables. We hope that this information will be helpful to you in your analysis of categorical data.