Construct a grouped frequency distribution table (GFDT) for this data set. class width. Your classes should be labeled using interval notation. Each ci and the lower class limits should all be multiples of the class width. In tha use a closed-interval to label each class. Data range Frequency

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 27SGR
Question
### Constructing a Grouped Frequency Distribution Table (GFDT)

This exercise involves creating a grouped frequency distribution table for a given data set. You are required to organize the data into 10 classes, each with a consistent class width. The classes should be labeled using interval notation, with lower class limits as multiples of the class width.

#### Data Set
- **Values**: 
  - 171, 205, 158, 186
  - 170, 194, 189, 178
  - 200, 205, 191, 145
  - 196, 176, 194, 137
  - 174, 178, 195, 227
  - 165, 187, 142, 198
  - 204, 145, 193, 183

#### Guidelines
- **Number of Classes**: 10
- **Labeling**: Use interval notation for each class.
- **Class Limits**: Ensure lower class limits are multiples of the class width.

#### Table Structure
- **Columns**: "Data range" and "Frequency"
- Each row represents a class interval and its corresponding frequency.

#### Partial Data in Table
- **Data Ranges** (examples of filled rows):
  - The first row has a frequency of 1.
  - The second row has a frequency of 3.
  - The fourth row has a frequency of 4.
  - The sixth row has a frequency of 7.
  - Additional frequencies filled in other rows include 5, 3, and 0.

Ensure that the intervals are arranged consecutively and cover the entire range of data values. Verify the total frequency equals the number of data points. 

This exercise helps in understanding how to organize data into intervals, making it easier to analyze and interpret statistical data.
Transcribed Image Text:### Constructing a Grouped Frequency Distribution Table (GFDT) This exercise involves creating a grouped frequency distribution table for a given data set. You are required to organize the data into 10 classes, each with a consistent class width. The classes should be labeled using interval notation, with lower class limits as multiples of the class width. #### Data Set - **Values**: - 171, 205, 158, 186 - 170, 194, 189, 178 - 200, 205, 191, 145 - 196, 176, 194, 137 - 174, 178, 195, 227 - 165, 187, 142, 198 - 204, 145, 193, 183 #### Guidelines - **Number of Classes**: 10 - **Labeling**: Use interval notation for each class. - **Class Limits**: Ensure lower class limits are multiples of the class width. #### Table Structure - **Columns**: "Data range" and "Frequency" - Each row represents a class interval and its corresponding frequency. #### Partial Data in Table - **Data Ranges** (examples of filled rows): - The first row has a frequency of 1. - The second row has a frequency of 3. - The fourth row has a frequency of 4. - The sixth row has a frequency of 7. - Additional frequencies filled in other rows include 5, 3, and 0. Ensure that the intervals are arranged consecutively and cover the entire range of data values. Verify the total frequency equals the number of data points. This exercise helps in understanding how to organize data into intervals, making it easier to analyze and interpret statistical data.
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