What Is Interquartile Range In Math. The interquartile range is a measure of variability based on splitting data into quartiles. It is equal to the difference between the 75th and 25th percentiles referred to as the third Q3 and first quartiles Q1 respectively. Illustrated definition of Interquartile Range. The IQR describes the middle 50 of values when ordered from lowest to highest.
Quartile 1 Q1. Box and Whisker Plot and Interquartile Range for. And they are denoted by Q1 Q2 and Q3 respectively. Thus the IQR is comprised of the middle 50 of the data and is therefore also referred to as the midspread or middle 50. To find the interquartile range subtract the value of the lower quartile frac 1 4 or 25 from the. Q1 is the middle value in the first half of the rank-ordered data set.
1 1 1 5 9 9 9 and 2 3 4 5 6 7 8 the median is 5 and the mean is 5 for both of them but if you find the IQR of them you see it is 8 and 4 respectively.
In this case all the quartiles are between numbers. The interquartile range is a measure of variability based on splitting data into quartiles. What is the interquartile range. Box and Whisker Plot and Interquartile Range for. The values that divide each part are called the first second and third quartiles. What is a interquartile range in math.