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Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-100
frequency 8 7 12 23 11 13 8 6 12?
frequency 8 7 12 23 11 13 8 6 12?
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Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-10...
Understanding the Frequency Distribution
The given data represents a frequency distribution across multiple class intervals. This is a fundamental concept in statistics, particularly useful for summarizing large datasets.
Class Intervals and Frequencies
- Class intervals: 10-20, 20-30, 30-40, 40-50, 50-60, 60-70, 70-80, 80-90, 90-100
- Corresponding frequencies: 8, 7, 12, 23, 11, 13, 8, 6, 12
Interpreting the Data
- **Frequency**: Indicates how many observations fall within each interval.
- **Distribution Shape**: Analyzing frequencies can help identify the distribution shape (e.g., normal distribution, skewness).
Calculating Additional Statistics
- **Total Frequency**: Sum of all frequencies = 8 + 7 + 12 + 23 + 11 + 13 + 8 + 6 + 12 = 100.
- **Mode**: The interval with the highest frequency (40-50) indicates the mode, which is the most common range.
Graphical Representation
- **Histogram**: A visual representation can be created using a histogram to show the frequency distribution. Each interval will be represented by a bar, with heights corresponding to their frequencies.
- **Ogive**: A cumulative frequency graph can also be plotted for better understanding of cumulative distributions.
Conclusion
This frequency table is valuable for summarizing, analyzing, and visualizing data. It aids in understanding patterns and trends, essential for making informed decisions or further statistical analysis in exams such as UPSC.
The given data represents a frequency distribution across multiple class intervals. This is a fundamental concept in statistics, particularly useful for summarizing large datasets.
Class Intervals and Frequencies
- Class intervals: 10-20, 20-30, 30-40, 40-50, 50-60, 60-70, 70-80, 80-90, 90-100
- Corresponding frequencies: 8, 7, 12, 23, 11, 13, 8, 6, 12
Interpreting the Data
- **Frequency**: Indicates how many observations fall within each interval.
- **Distribution Shape**: Analyzing frequencies can help identify the distribution shape (e.g., normal distribution, skewness).
Calculating Additional Statistics
- **Total Frequency**: Sum of all frequencies = 8 + 7 + 12 + 23 + 11 + 13 + 8 + 6 + 12 = 100.
- **Mode**: The interval with the highest frequency (40-50) indicates the mode, which is the most common range.
Graphical Representation
- **Histogram**: A visual representation can be created using a histogram to show the frequency distribution. Each interval will be represented by a bar, with heights corresponding to their frequencies.
- **Ogive**: A cumulative frequency graph can also be plotted for better understanding of cumulative distributions.
Conclusion
This frequency table is valuable for summarizing, analyzing, and visualizing data. It aids in understanding patterns and trends, essential for making informed decisions or further statistical analysis in exams such as UPSC.
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Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-100frequency 8 7 12 23 11 13 8 6 12?
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Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-100frequency 8 7 12 23 11 13 8 6 12? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-100frequency 8 7 12 23 11 13 8 6 12? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-100frequency 8 7 12 23 11 13 8 6 12?.
Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-100frequency 8 7 12 23 11 13 8 6 12? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-100frequency 8 7 12 23 11 13 8 6 12? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Class interval 10-20 20-30 30-40 40-50 50-60 60 -70 70-80 80 -90 90-100frequency 8 7 12 23 11 13 8 6 12?.
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