Math Problem Statement
How to put these datas 21.2 28.3 27.1 25 32.7 29.5 30.2 23.9 23 26.4 27.3 33.7 29.4 21.9 29.3 17.3 29 36.8 29.2 23.5 20.6 29.5 21.8 37.5 33.5 29.6 26.8 28.7 34.8 18.6 25.4 34.1 27.5 29.6 22.2 22.7 31.3 33.2 37 28.3 36.9 24.6 28.9 24.6 28.1 25.4 34.5 23.6 38.4 25 In 7 classes
Solution
To organize this data into 7 classes, we can follow these steps:
-
Identify the Range: The range is calculated as the difference between the maximum and minimum values in the dataset.
-
Calculate Class Width: Divide the range by the number of classes (7) and round up to ensure all values fit into a class. So, rounding up, the class width will be 4.
-
Determine Class Boundaries: Begin with the minimum value (17.3) and add the class width to set the intervals. The classes will be:
- 17.3 - 21.3
- 21.3 - 25.3
- 25.3 - 29.3
- 29.3 - 33.3
- 33.3 - 37.3
- 37.3 - 41.3
- 41.3 - 45.3
-
Tally the Data: Place each data point into the appropriate class.
Here is the data distribution across the classes based on the intervals:
Class Interval | Frequency |
---|---|
17.3 - 21.3 | 5 |
21.3 - 25.3 | 9 |
25.3 - 29.3 | 14 |
29.3 - 33.3 | 10 |
33.3 - 37.3 | 7 |
37.3 - 41.3 | 2 |
41.3 - 45.3 | 0 |
Would you like a histogram, further details on this data grouping, or any other analysis?
Related Questions
- How do you determine the best number of classes for a dataset?
- Why is it necessary to round up when determining class width?
- What are alternative methods for setting class boundaries?
- How does changing the class width affect the distribution?
- How would you interpret this data based on the class intervals?
Tip: Always round up the class width to ensure all data points are included in the intervals.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Data Grouping
Class Intervals
Formulas
Range = Max - Min
Class Width = Range / Number of Classes
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Create a Frequency Table with Seven Classes from Data Set
Find Class Width and Class Limits for Given Data Set
Constructing a GFDT: Range and Optimal Class Width for a Data Set
Grouped Frequency Distribution Table with 10 Classes and Class Width Calculation
How to Calculate Class Width and Construct a Frequency Distribution