Convert inclusive series into exclusive series. Find the lower limit of the class.
Understand the Problem
The question is asking to convert an inclusive frequency distribution into an exclusive one and to find the lower limit of the class for the converted series.
Answer
The lower limit of the exclusive class is 30.
Answer for screen readers
The lower limit of the last exclusive class is 30.
Steps to Solve
- Identify Inclusive Classes The inclusive classes given in the frequency distribution are:
- 10 - 14
- 15 - 19
- 20 - 24
- 25 - 29
- 30 - 34
- Convert Inclusive to Exclusive Classes To convert the inclusive classes to exclusive classes, we adjust the limits:
- 10 - 14 becomes 10 - 15
- 15 - 19 becomes 15 - 20
- 20 - 24 becomes 20 - 25
- 25 - 29 becomes 25 - 30
- 30 - 34 becomes 30 - 35
- Write Exclusive Classes with Frequencies Now, rewrite the exclusive classes along with the corresponding frequencies:
- 10 - 15: 3
- 15 - 20: 5
- 20 - 25: 8
- 25 - 30: 5
- 30 - 35: 4
- Find the Lower Limit of the Last Exclusive Class The lower limit of the last exclusive class (30 - 35) is 30.
The lower limit of the last exclusive class is 30.
More Information
In a frequency distribution, 'inclusive' classes include their endpoints, while 'exclusive' classes do not. This distinction is useful for statistical analysis.
Tips
- Confusing inclusive and exclusive limits: Ensure that the class limits are adjusted correctly.
- Miscalculating the frequencies after conversion: Double-check that the frequencies correspond to the correct exclusive classes.
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