Class 10 Mathematics: Frequency Distribution
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Questions and Answers

What is the median class interval for the frequency distribution given in Problem 1?

  • 40-50
  • 30-40
  • 20-30 (correct)
  • 10-20
  • If the total frequency (Σf) in Problem 2 is 100, what is the cumulative frequency for the class interval 300-400?

  • 50
  • 19
  • 31 (correct)
  • 12
  • In the frequency distribution from Problem 2, what value must 'x' take to ensure that the total frequency sums to 100?

  • 12
  • 14 (correct)
  • 5
  • 20
  • What specific value of the median is given in Problem 2?

    <p>525 (B)</p> Signup and view all the answers

    From Problem 1, which formula is typically used to calculate the median from a frequency distribution?

    <p>Median = L + [(n/2 - cf)/f] * w (C)</p> Signup and view all the answers

    Flashcards

    Median from Frequency Distribution

    The middle value in a sorted dataset, representing the midpoint of the data when the data points are arranged in ascending order from frequency tables.

    Cumulative Frequency

    The sum of frequencies up to a particular class interval, representing the running total of frequencies.

    Class Interval

    A range of values in a dataset.

    Median Class

    The class interval containing the median value in a frequency distribution, determined by cumulative frequency.

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    Frequency

    The count or number of occurrences of a particular class or value within a data set.

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    n/2

    Half the total number of data points.

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    Median Formula

    A formula used to calculate the median of a frequency distribution, which often includes the cumulative frequency up to the median class and the frequency of the median class.

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    Σf

    Sum of frequencies. The total number of data points.

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    Study Notes

    Class 10 Mathematics

    • Frequency Distribution: Data is organized into intervals and frequency is counted for each interval.
    • Cumulative Frequency: The sum of frequencies up to a particular class interval.
    • Median Class: The class interval containing the median.
    • Median Formula: A formula for calculating the median using cumulative frequency.
    • Missing Frequencies: Calculations involving finding missing frequencies in a frequency distribution.
    • Calculation of Median: Finding the median value from a given frequency distribution table.
    • Example Calculations: Demonstrations of sample problems to find median and find unknown frequencies.
    • Interval 0-10, 10-20, 20-30, 30-40, 40-50: The different ranges in the frequency distribution table.
    • Frequencies and Cumulative Frequencies: Values within the table are examples of this.
    • Specific Calculations: Numerical data within the frequency table are demonstrated.
    • Context: The content discusses statistical analysis of data.

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    Description

    This quiz covers topics related to frequency distribution including how to organize data into intervals and calculate cumulative frequency. It also explores the median class and provides formulas for calculating the median from a frequency distribution table. Example calculations and missing frequency problems are also included to enhance understanding.

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