Math Problem Statement
Solution
The image you uploaded appears to be a table related to frequency distribution, likely involving calculations of relative frequency, cumulative frequency, and class midpoint. Here's a breakdown of the contents and instructions for the table:
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Columns Explanation:
- The table is divided into intervals (e.g., 50-59, 60-69) in the first column.
- The "تكرار" (frequency) column records how often values fall within each interval.
- Calculations written in red and blue ink appear to involve cumulative frequency and midpoint values.
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Tasks:
- You are required to calculate:
- Relative frequency for each class interval (which is typically the frequency of each interval divided by the total frequency, expressed as a percentage).
- Cumulative frequency (both ascending and descending forms).
- Class midpoint for each interval (the midpoint of each range, calculated as ).
- You are required to calculate:
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Observations:
- Frequencies listed seem to be 3, 5, 18, 16, and 8, adding up to 50.
- The midpoint values are partially calculated on the right side.
- Some columns also seem to reference cumulative totals and midpoint calculations, essential for the statistical analysis.
Would you like a detailed breakdown and completion of each calculation, such as filling in the missing values, calculating relative and cumulative frequencies, or providing guidance on plotting the data?
Related Questions
- How do you calculate the relative frequency for each interval?
- What steps are needed to complete the cumulative frequency column?
- How is the midpoint of each interval determined?
- What is the significance of cumulative frequency in data analysis?
- How would this data be represented in a histogram?
Tip
When working with frequency tables, always double-check your total frequency against the sum of individual frequencies to ensure accuracy in further calculations.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Relative Frequency
Cumulative Frequency
Class Midpoint
Formulas
Relative Frequency = (Frequency of Interval / Total Frequency) * 100
Cumulative Frequency = Sum of Frequencies up to Current Interval
Class Midpoint = (Lower Limit + Upper Limit) / 2
Theorems
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Suitable Grade Level
Grades 10-12
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