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The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.
How to Find the Interquartile Range (IQR) by Hand. The formula for finding the interquartile range takes the third quartile value and subtracts the first quartile value. IQR = Q3 – Q1. Equivalently, the interquartile range is the region between the 75th and 25th percentile (75 – 25 = 50% of the data).
Explore the concept of Interquartile Range (IQR) in statistics, its importance, and how to calculate it. Understand how IQR measures data spread and variability, and its applications in various fields. Get step-by-step examples and answers to frequently asked questions about IQR.
The interquartile range formula is the first quartile subtracted from the third quartile: IQR = Q 3 – Q 1. Watch the video for how to calculate the interquartile range by hand:
The interquartile range (IQR) is a statistical measure of the middle values of a sample data set that is separated into four equal parts. This middle-value grouping can provide a median range between the upper half and lower half of the data you've collected, allowing you to ignore extreme values.
1. Gather your data. If you're learning this for a class and taking a test, you might be provided with a ready-made set of numbers, e.g. 1, 4, 5, 7, 10. This is your data set – the numbers that you will be working with. You may, however, need to arrange the numbers yourself from some sort of table or word problem. [1]
In simple terms, it measures the spread of the middle 50% of values. IQR = Q3 – Q1. For example, suppose we have the following dataset that shows the height of 17 different plants (in inches) in a lab: Dataset: 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32.
In statistics, the interquartile range (IQR) is a measure of how spread out the data is. It is equal to the difference between the 75th and 25th percentiles, referred to as the third (Q3) and first quartiles (Q1), respectively.
The interquartile range (I QR) is a descriptive statistic and measures the variability or spread of the data.
In descriptive statistics, the interquartile range (IQR) is a measure of statistical dispersion, which is the spread of the data. [1] The IQR may also be called the midspread , middle 50% , fourth spread , or H‑spread.