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

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

<p>$n \sum (x_i - \bar{x})$ (A)</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.