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math: percentile grouped data

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eggy 2020-09-27 20:31:06 -04:00
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@ -101,6 +101,7 @@ The first and third quartiles are the median of the **[minimum, median)** and **
- The median is the midpoint of the class it resides in. - The median is the midpoint of the class it resides in.
- The third quartile is the midpoint of the class it resides in. - The third quartile is the midpoint of the class it resides in.
- The maximum value is now the upper class boundary of the highest class. If the highest value is excluded (e.g., $90≤x<100$), it also must be excluded when representing data (e.g., open dot instead of filled dot). - The maximum value is now the upper class boundary of the highest class. If the highest value is excluded (e.g., $90≤x<100$), it also must be excluded when representing data (e.g., open dot instead of filled dot).
- A specific percentile can be found by guesstimating the value on a cumulative frequency curve.
The **interquartile range (IQR)** is equal to $Q_3 - Q_1$ and represents the range where 50% of the data lies. The **interquartile range (IQR)** is equal to $Q_3 - Q_1$ and represents the range where 50% of the data lies.