Constructing a Frequency Distribution
Math with Professor Jones・6 minutes read
The students collected 40 pennies in 1999 and created a frequency distribution, focusing on determining the number of classes and finding the class width to ensure an even distribution of data values. It is important to calculate the range, divide it by the number of classes, and aim for an odd number for a more accurate midpoint value.
Insights
- The process of creating a frequency distribution involves calculating the range between the highest and lowest data values, then dividing it by the number of classes to determine the class width.
- It is essential to carefully select the number of classes for a frequency distribution, typically falling within a range of 5 to 15 classes, with an odd number preferred for a more balanced midpoint value.
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Recent questions
How do you calculate range in data?
By subtracting the lowest value from the highest.
What is a frequency distribution?
A table showing how often data values occur.
How do you determine the number of classes for a frequency distribution?
By considering the range of data values.
What is the importance of class width in frequency distribution?
It determines the size of each interval.
Why is an odd number preferred for class width?
To have a more reasonable midpoint value.
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Summary
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"Creating Frequency Distribution from 40 Pennies"
- A class of students collected 40 pennies in 1999 and noted the year of each penny.
- To create a frequency distribution, the range between the highest (99) and lowest (66) data values is calculated, resulting in a range of 33.
- Determining the number of classes for the frequency distribution is crucial, with a recommended range of 5 to 15 classes.
- The class width is found by dividing the range by the number of classes, with a preference for an odd number for a more reasonable midpoint value.
