Calculating the Median for Grouped Data

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5 Questions

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

The total number of observations

What does 'L' represent in the formula for finding the mode of grouped data?

Upper boundary of the mode class

What is the correct formula for calculating the mode of grouped data?

$Mode = L + \left(\frac{\Delta 1}{\Delta 1 + \Delta 2}\right)h$

What does 'h' represent in the formula for finding the mode of grouped data?

Size of the class interval

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

$n \sum (x_i - \bar{x})$

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.

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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