Select The Correct Answer.Fiona Has To Plot A Histogram Of The Given Data:${82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93}$Which Frequency Table Should She Use For The
Understanding the Importance of Frequency Tables
When it comes to creating a histogram, selecting the correct frequency table is crucial. A frequency table is a table that displays the number of times each value in a dataset occurs. In this article, we will discuss how to select the correct frequency table for a histogram, using the given data as an example.
What is a Frequency Table?
A frequency table is a table that displays the number of times each value in a dataset occurs. It is a useful tool for understanding the distribution of data and identifying patterns. Frequency tables can be used to create histograms, which are graphical representations of data that show the distribution of values.
Types of Frequency Tables
There are two main types of frequency tables: univariate and bivariate. A univariate frequency table displays the number of times each value in a single variable occurs. A bivariate frequency table displays the number of times each value in two variables occurs.
Selecting the Correct Frequency Table
To select the correct frequency table, we need to consider the type of data and the type of analysis we want to perform. In this case, we are given a dataset of exam scores and we want to create a histogram to understand the distribution of scores.
Univariate Frequency Table
A univariate frequency table is the most common type of frequency table. It displays the number of times each value in a single variable occurs. To create a univariate frequency table, we need to count the number of times each value in the dataset occurs.
Creating a Univariate Frequency Table
To create a univariate frequency table, we can use the following steps:
- Count the number of times each value in the dataset occurs.
- Create a table with the values in the dataset as the rows and the frequency of each value as the columns.
- Sort the table in descending order of frequency.
Example: Creating a Univariate Frequency Table
Let's create a univariate frequency table for the given dataset:
| Value | Frequency |
|---|---|
| 62 | 1 |
| 64 | 1 |
| 65 | 1 |
| 66 | 1 |
| 67 | 1 |
| 68 | 1 |
| 69 | 2 |
| 81 | 1 |
| 82 | 2 |
| 83 | 3 |
| 86 | 1 |
| 88 | 2 |
| 89 | 1 |
| 93 | 1 |
| 94 | 1 |
Bivariate Frequency Table
A bivariate frequency table displays the number of times each value in two variables occurs. To create a bivariate frequency table, we need to count the number of times each value in the two variables occurs.
Creating a Bivariate Frequency Table
To create a bivariate frequency table, we can use the following steps:
- Count the number of times each value in the two variables occurs.
- Create a table with the values in the two variables as the rows and the frequency of each value as the columns.
- Sort the table in descending order of frequency.
Example: Creating a Bivariate Frequency Table
Let's create a bivariate frequency table for the given dataset:
| Value 1 | Value 2 | Frequency |
|---|---|---|
| 62 | 65 | 1 |
| 64 | 66 | 1 |
| 65 | 67 | 1 |
| 66 | 68 | 1 |
| 67 | 69 | 1 |
| 68 | 69 | 1 |
| 69 | 81 | 1 |
| 81 | 82 | 1 |
| 82 | 83 | 2 |
| 83 | 86 | 1 |
| 86 | 88 | 1 |
| 88 | 89 | 1 |
| 89 | 93 | 1 |
| 93 | 94 | 1 |
Selecting the Correct Frequency Table for a Histogram
To select the correct frequency table for a histogram, we need to consider the type of data and the type of analysis we want to perform. In this case, we are given a dataset of exam scores and we want to create a histogram to understand the distribution of scores.
Univariate Frequency Table
A univariate frequency table is the most common type of frequency table. It displays the number of times each value in a single variable occurs. To create a univariate frequency table, we need to count the number of times each value in the dataset occurs.
Creating a Univariate Frequency Table
To create a univariate frequency table, we can use the following steps:
- Count the number of times each value in the dataset occurs.
- Create a table with the values in the dataset as the rows and the frequency of each value as the columns.
- Sort the table in descending order of frequency.
Example: Creating a Univariate Frequency Table
Let's create a univariate frequency table for the given dataset:
| Value | Frequency |
|---|---|
| 62 | 1 |
| 64 | 1 |
| 65 | 1 |
| 66 | 1 |
| 67 | 1 |
| 68 | 1 |
| 69 | 2 |
| 81 | 1 |
| 82 | 2 |
| 83 | 3 |
| 86 | 1 |
| 88 | 2 |
| 89 | 1 |
| 93 | 1 |
| 94 | 1 |
Bivariate Frequency Table
A bivariate frequency table displays the number of times each value in two variables occurs. To create a bivariate frequency table, we need to count the number of times each value in the two variables occurs.
Creating a Bivariate Frequency Table
To create a bivariate frequency table, we can use the following steps:
- Count the number of times each value in the two variables occurs.
- Create a table with the values in the two variables as the rows and the frequency of each value as the columns.
- Sort the table in descending order of frequency.
Example: Creating a Bivariate Frequency Table
Let's create a bivariate frequency table for the given dataset:
| Value 1 | Value 2 | Frequency |
|---|---|---|
| 62 | 65 | 1 |
| 64 | 66 | 1 |
| 65 | 67 | 1 |
| 66 | 68 | 1 |
| 67 | 69 | 1 |
| 68 | 69 | 1 |
| 69 | 81 | 1 |
| 81 | 82 | 1 |
| 82 | 83 | 2 |
| 83 | 86 | 1 |
| 86 | 88 | 1 |
| 88 | 89 | 1 |
| 89 | 93 | 1 |
| 93 | 94 | 1 |
Conclusion
In conclusion, selecting the correct frequency table for a histogram is crucial. A univariate frequency table displays the number of times each value in a single variable occurs, while a bivariate frequency table displays the number of times each value in two variables occurs. To create a univariate frequency table, we need to count the number of times each value in the dataset occurs. To create a bivariate frequency table, we need to count the number of times each value in the two variables occurs. By selecting the correct frequency table, we can create a histogram that accurately represents the distribution of data.
References
- Frequency Tables. (n.d.). Retrieved from https://www.statisticshowto.com/frequency-tables/
- Histograms. (n.d.). Retrieved from https://www.statisticshowto.com/histograms/
Frequently Asked Questions
- What is a frequency table?
- A frequency table is a table that displays the number of times each value in a dataset occurs.
- What is a bivariate frequency table?
- A bivariate frequency table displays the number of times each value in two variables occurs.
- How do I create a univariate frequency table?
- To create a univariate frequency table, we need to count the number of times each value in the dataset occurs.
- How do I create a bivariate frequency table?
- To create a bivariate frequency table, we need to count the number of times each value in the two variables occurs.
Frequently Asked Questions: Frequency Tables and Histograms ===========================================================
- To create a bivariate frequency table, we need to count the number of times each value in the two variables occurs.
Q: What is a frequency table?
A: A frequency table is a table that displays the number of times each value in a dataset occurs. It is a useful tool for understanding the distribution of data and identifying patterns.
Q: What is a bivariate frequency table?
A: A bivariate frequency table displays the number of times each value in two variables occurs. It is a useful tool for understanding the relationship between two variables and identifying patterns.
Q: How do I create a univariate frequency table?
A: To create a univariate frequency table, you need to count the number of times each value in the dataset occurs. You can use the following steps:
- Count the number of times each value in the dataset occurs.
- Create a table with the values in the dataset as the rows and the frequency of each value as the columns.
- Sort the table in descending order of frequency.
Q: How do I create a bivariate frequency table?
A: To create a bivariate frequency table, you need to count the number of times each value in the two variables occurs. You can use the following steps:
- Count the number of times each value in the two variables occurs.
- Create a table with the values in the two variables as the rows and the frequency of each value as the columns.
- Sort the table in descending order of frequency.
Q: What is a histogram?
A: A histogram is a graphical representation of data that shows the distribution of values. It is a useful tool for understanding the distribution of data and identifying patterns.
Q: How do I create a histogram?
A: To create a histogram, you need to follow these steps:
- Collect the data you want to analyze.
- Create a frequency table or a bivariate frequency table, depending on the type of data you have.
- Use the frequency table or bivariate frequency table to create a histogram.
Q: What are the benefits of using frequency tables and histograms?
A: The benefits of using frequency tables and histograms include:
- Understanding the distribution of data
- Identifying patterns in the data
- Visualizing the data
- Making informed decisions based on the data
Q: What are some common mistakes to avoid when using frequency tables and histograms?
A: Some common mistakes to avoid when using frequency tables and histograms include:
- Not using the correct type of frequency table (univariate or bivariate)
- Not sorting the frequency table in descending order of frequency
- Not using the correct type of histogram (bar chart or line graph)
- Not labeling the axes correctly
Q: How do I choose the right type of frequency table or histogram for my data?
A: To choose the right type of frequency table or histogram for your data, you need to consider the following factors:
- The type of data you have (univariate or bivariate)
- The distribution of the data (normal or skewed)
- The level of detail you want to display (summary statistics or detailed data)
Q: Can I use frequency tables and histograms for categorical data?
A: Yes, you can use frequency tables and histograms for categorical data. However, you need to use a different type of frequency table (categorical frequency table) and a different type of histogram (bar chart).
Q: Can I use frequency tables and histograms for time series data?
A: Yes, you can use frequency tables and histograms for time series data. However, you need to use a different type of frequency table (time series frequency table) and a different type of histogram (line graph).
Q: How do I interpret the results of a frequency table or histogram?
A: To interpret the results of a frequency table or histogram, you need to consider the following factors:
- The distribution of the data (normal or skewed)
- The level of detail you want to display (summary statistics or detailed data)
- The type of data you have (univariate or bivariate)
Q: Can I use frequency tables and histograms for large datasets?
A: Yes, you can use frequency tables and histograms for large datasets. However, you need to use a different type of frequency table (summary statistics frequency table) and a different type of histogram (summary statistics histogram).
Q: Can I use frequency tables and histograms for small datasets?
A: Yes, you can use frequency tables and histograms for small datasets. However, you need to use a different type of frequency table (detailed data frequency table) and a different type of histogram (detailed data histogram).
Q: How do I create a frequency table or histogram in a spreadsheet program?
A: To create a frequency table or histogram in a spreadsheet program, you need to follow these steps:
- Collect the data you want to analyze.
- Create a frequency table or a bivariate frequency table, depending on the type of data you have.
- Use the frequency table or bivariate frequency table to create a histogram.
Q: Can I use frequency tables and histograms for data analysis in other fields?
A: Yes, you can use frequency tables and histograms for data analysis in other fields, such as business, economics, and social sciences. However, you need to use a different type of frequency table and a different type of histogram, depending on the type of data you have.
Q: How do I choose the right type of frequency table or histogram for my field?
A: To choose the right type of frequency table or histogram for your field, you need to consider the following factors:
- The type of data you have (univariate or bivariate)
- The distribution of the data (normal or skewed)
- The level of detail you want to display (summary statistics or detailed data)
Q: Can I use frequency tables and histograms for data visualization in other fields?
A: Yes, you can use frequency tables and histograms for data visualization in other fields, such as business, economics, and social sciences. However, you need to use a different type of frequency table and a different type of histogram, depending on the type of data you have.
Q: How do I create a frequency table or histogram for data visualization in other fields?
A: To create a frequency table or histogram for data visualization in other fields, you need to follow these steps:
- Collect the data you want to analyze.
- Create a frequency table or a bivariate frequency table, depending on the type of data you have.
- Use the frequency table or bivariate frequency table to create a histogram.
Q: Can I use frequency tables and histograms for data analysis in other fields with large datasets?
A: Yes, you can use frequency tables and histograms for data analysis in other fields with large datasets. However, you need to use a different type of frequency table (summary statistics frequency table) and a different type of histogram (summary statistics histogram).
Q: Can I use frequency tables and histograms for data analysis in other fields with small datasets?
A: Yes, you can use frequency tables and histograms for data analysis in other fields with small datasets. However, you need to use a different type of frequency table (detailed data frequency table) and a different type of histogram (detailed data histogram).
Q: How do I choose the right type of frequency table or histogram for data analysis in other fields?
A: To choose the right type of frequency table or histogram for data analysis in other fields, you need to consider the following factors:
- The type of data you have (univariate or bivariate)
- The distribution of the data (normal or skewed)
- The level of detail you want to display (summary statistics or detailed data)
Q: Can I use frequency tables and histograms for data analysis in other fields with categorical data?
A: Yes, you can use frequency tables and histograms for data analysis in other fields with categorical data. However, you need to use a different type of frequency table (categorical frequency table) and a different type of histogram (bar chart).
Q: Can I use frequency tables and histograms for data analysis in other fields with time series data?
A: Yes, you can use frequency tables and histograms for data analysis in other fields with time series data. However, you need to use a different type of frequency table (time series frequency table) and a different type of histogram (line graph).