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Questions and Answers
In finding the median for grouped data, what does $L$ represent in the formula?
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?
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?
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?
What does the total deviation of each observation from its mean equal to in a distribution?
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What does 'fm' represent in the formula for finding the median for grouped data?
What does 'fm' represent in the formula for finding the median for grouped data?
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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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