### Learning Outcomes

Recognize, describe, and also calculate the procedures of place of data: quartiles and also percentiles.You are watching: The second quartile is the same as the median.

The typical measures of ar are **quartiles** and also **percentiles**.

Quartiles space special percentiles. The first quartile,

The following video clip gives an development to Median, Quartiles and also Interquartile Range, the topic girlfriend will discover in this section.

To calculation quartiles and also percentiles, the data need to be bespeak from the smallest to largest. Quartiles division ordered data right into quarters. Percentiles divide ordered data into hundredths. Come score in the

Percentiles are valuable for compare values. For this reason, universities and also colleges use percentiles extensively. One instance in which colleges and also universities usage percentiles is as soon as SAT outcomes are supplied to recognize a minimum testing score that will be used as an accept factor. Because that example, suppose fight it out accepts sat scores at or above the

Percentiles are mainly used with very huge populations. Therefore, if you to be to say that

The **median** is a number that procedures the “center” of the data. You deserve to think that the typical as the “middle value,” yet it does no actually need to be one of the observed values. It is a number that separates ordered data into halves. Half the values space the exact same number or smaller sized than the median, and half the values are the very same number or larger. For example, consider the adhering to data.

Ordered from the smallest to largest:

Since there space

**Quartiles** room numbers that different the data into quarters. Quartiles might or may not be part of the data. To discover the quartiles, first find the typical or second quartile. The first quartile,

The mean or **second quartile** is seven. The lower fifty percent of the data space

The number two, i beg your pardon is component of the data, is the **first quartile**. One-fourth that the whole sets of values are the same as or less than two and three-fourths of the values are an ext than two.

The upper fifty percent of the data is

The **third quartile**,

The **interquartile range** is a number that suggests the spread out of the middle half or the middle

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The IQR can help to identify potential **outliers**. **A value is doubt to it is in a potential outlier if that is much less than (1.5)(IQR) listed below the first quartile or more than (1.5)(IQR) over the third quartile**. Potential outliers constantly require more investigation.