Calculating the Median for Grouped Data
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Questions and Answers

In the formula for finding the median of grouped data, what does 'n' represent?

  • The total number of observations (correct)
  • The frequency of the median class
  • The size of the class interval
  • The upper class boundary of the median class
  • What does 'L' represent in the formula for finding the mode of grouped data?

  • Frequency of the mode class
  • Size of the class interval
  • Upper boundary of the mode class (correct)
  • Lower boundary of the median class
  • What is the correct formula for calculating the mode of grouped data?

  • $Mode = L + \left(\frac{\Delta 2}{\Delta 1 + \Delta 2}\right)h$
  • $Mode = L + \left(\frac{\Delta 1}{\Delta 1 + \Delta 2}\right)h$ (correct)
  • $Mode = L + \left(\frac{\Delta 1}{\Delta 2}\right)h$
  • $Mode = L + \left(\frac{\Delta 2}{\Delta 1}\right)h$
  • What does 'h' represent in the formula for finding the mode of grouped data?

    <p>Size of the class interval</p> Signup and view all the answers

    What is the correct formula for calculating the total deviations of each observation from its mean?

    <p>$n \sum (x_i - \bar{x})$</p> Signup and view all the answers

    Study Notes

    Median of Grouped Data

    • In the formula for finding the median of grouped data, 'n' represents the total number of observations.

    Mode of Grouped Data

    • In the formula for finding the mode of grouped data, 'L' represents the lower limit of the modal class.
    • The correct formula for calculating the mode of grouped data is: Mode = L + (h × (f1 - f0) / (2f1 - f0 - f2))
    • In the formula for finding the mode of grouped data, 'h' represents the width of the class interval.

    Deviations from the Mean

    • The correct formula for calculating the total deviations of each observation from its mean is: ∑(xi - μ) where xi is each observation and μ is the mean.

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    Description

    Learn how to calculate the median for grouped data using the step-by-step process involving creating a table, finding the median class, and applying the formula to find the median.

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