Math Problem Statement

The user submitted a table with data requiring calculations of relative frequency, cumulative frequency, and class midpoint for a given data set divided into intervals.

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:

  1. 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.
  2. 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 Lower limit+Upper limit2\frac{\text{Lower limit} + \text{Upper limit}}{2}).
  3. 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

  1. How do you calculate the relative frequency for each interval?
  2. What steps are needed to complete the cumulative frequency column?
  3. How is the midpoint of each interval determined?
  4. What is the significance of cumulative frequency in data analysis?
  5. 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