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Finding the Median for Grouped Data

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Questions and Answers

In finding the median for grouped data, what does $L$ represent in the formula?

Sum of frequency before the median class

Lower class boundary of the median class (correct)

Size of the class interval

Frequency of the median class

For ungrouped data, which formula is used to find the mode of the data?

$Mode = L + \left(\frac{\Delta1}{\Delta1 + \Delta2}\right)h$ (correct)

$Mode = L + \left(\frac{\Delta1}{h}\right)$

$Mode = L + \left(\frac{\Delta1 + \Delta2}{2}\right)h$

$Mode = L + \Delta1h$

In grouped data without interval, what does $ax_1 + ax_2$ represent?

$x_1$ multiplied by $a$ plus $x_2$ multiplied by $a$ (correct)

$x_1$ and $x_2$ values

A calculation error

$a$ multiplied by sum of all observations

What does the total deviation of each observation from its mean equal to in a distribution?

<p>Zero</p> Signup and view all the answers

What does 'fm' represent in the formula for finding the median for grouped data?

<p>Frequency of median class</p> Signup and view all the answers

Study Notes

Median for Grouped Data

In the formula for finding the median, $L$ represents the lower boundary of the median class.

Mode for Ungrouped Data

There is no specific formula to find the mode for ungrouped data; the mode is the value that appears most frequently in the dataset.

Grouped Data without Intervals

In grouped data without intervals, $ax_1 + ax_2$ does not have any specific representation as intervals are needed to calculate these values.

Total Deviation

The total deviation of each observation from its mean equals zero in a distribution.

Median for Grouped Data (continued)

In the formula for finding the median, 'fm' represents the frequency of the median class.

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Description

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