# Why Is The Interquartile Range Important?

## What does the interquartile range tell you?

The “interquartile range”, abbreviated “IQR”, is just the width of the box in the box-and-whisker plot.

That is, IQR = Q3 – Q1 .

The IQR tells how spread out the “middle” values are; it can also be used to tell when some of the other values are “too far” from the central value..

## What do the quartiles tell you?

Quartiles tell us about the spread of a data set by breaking the data set into quarters, just like the median breaks it in half. For example, consider the marks of the 100 students below, which have been ordered from the lowest to the highest scores, and the quartiles highlighted in red.

## How do you interpret the interquartile range on a box plot?

The first step in constructing a box-and-whisker plot is to first find the median (Q2), the lower quartile (Q1) and the upper quartile (Q3) of a given set of data. You are now ready to find the interquartile range (IQR). The interquartile range is the difference between the upper quartile and the lower quartile.

## Is interquartile range the same as median?

There are 5 values above the median (upper half), the middle value is 77 which is the third quartile. The interquartile range is 77 – 64 = 13; the interquartile range is the range of the middle 50% of the data. … When the sample size is odd, the median and quartiles are determined in the same way.

## Why is Iqr better than range?

While the range gives you the spread of the whole data set, the interquartile range gives you the spread of the middle half of a data set.

## What does a higher interquartile range mean?

Interquartile range – Higher The interquartile range shows the range in values of the central 50% of the data. … Find the interquartile range of the weights of the babies. To find the median value, or the value that is half way along the list, the method is to count the number of numbers, add one and divide by 2.

## How do you interpret interquartile range?

To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

## What is the importance of quartile?

Quartiles are great for reporting on a set of data and for making box and whisker plots. Quartiles are especially useful when you’re working with data that isn’t symmetrically distributed, or a data set that has outliers.

## How do you report median and interquartile range in text?

Authors sometimes calculate the difference between the highest and the lowest range value and report it as one estimate of the spread, most commonly for interquartile range (4). For example, instead reporting values of 34 (30–39) for median and interquartile range, one can report 34 (9).

## How do you compare interquartile ranges?

The interquartile range or IQR is equal to 𝑄 three minus 𝑄 one. We subtract the lower quartile value from the upper quartile value. 29 minus 25 is equal to four. The interquartile range of data set one is equal to four.