What is the interquartile range of the data?
Mathematics · High School · Wed Jan 13 2021
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To calculate the interquartile range (IQR) of a given dataset, you need to follow these steps:
1. Organize the data in ascending order. 2. Find the median (also known as Q2 or the second quartile), which is the middle value of the dataset. If there are an even number of data points, the median is the average of the two middle numbers. 3. Divide the dataset into two halves, using the median as the dividing point. 4. Find the median of the lower half of the data, which is known as the first quartile (Q1). 5. Find the median of the upper half of the data, which is known as the third quartile (Q3). 6. Subtract the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.
The interquartile range is a measure of where the “middle fifty” is in a data set, which is the range where the bulk of the values lie. It's often used as a way to identify outliers, which might be significantly higher or lower than the rest of the data.