What is the number of classes? What are the class limits for the third class? Lower limit Upper limit What is the class width?
Understand the Problem
The question is asking for the number of classes in a data set, the class limits for the third class, and the class width based on the provided age distribution of people with a high school education. It requires understanding of data classification.
Answer
Number of classes: 5, Third class limits: Lower 38, Upper 47.9, Class width: 10.
Answer for screen readers
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Number of classes: 5
-
Class limits for the third class:
- Lower limit: 38
- Upper limit: 47.9
-
Class width: 10
Steps to Solve
- Identify the classes Count the number of distinct age ranges (classes) from the provided data. The age ranges are:
- 18 - 27.9
- 28 - 37.9
- 38 - 47.9
- 48 - 57.9
- 58 - 67.9
There are 5 age ranges, thus the number of classes is 5.
- Determine the class limits for the third class The third class is the range from 38 to 47.9.
- Lower limit = 38
- Upper limit = 47.9
- Calculate the class width To find the class width, we can subtract the lower limit of the first class from the upper limit. The formula for class width is:
$$ \text{Class Width} = \text{Upper limit of class} - \text{Lower limit of class (previous class)} $$
Using values from the first class (18 to 27.9):
$$ \text{Class Width} = 28 - 18 = 10 $$
- Writing the class widths for each blank Since the class width is consistent, fill in all four blanks with the same width:
- Blank 1: 10
- Blank 2: 10
- Blank 3: 10
- Blank 4: 10
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Number of classes: 5
-
Class limits for the third class:
- Lower limit: 38
- Upper limit: 47.9
-
Class width: 10
More Information
In statistics, classes (or bins) are used to organize data by creating ranges. This method allows for a better understanding of the distribution of values and helps in visualizing or analyzing data.
Tips
- Failing to correctly count the number of classes by overlooking ranges.
- Miscalculating the class width by using incorrect limits or not considering the previous class's limits.
- Confusing upper and lower limits when identifying class ranges.
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