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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