The formula for Semi Interquartile Range is: Semi-interquartile range is defined as one-half of the difference between the first and third quartile. It is calculated as half of the difference between the 75th and 25th percentiles (Q3) (Q1). Half of the interquartile range is also known as the semi interquartile range. The metrics of dispersion are defined as the semi-interquartile range. The existence of interquartile range and median for the data set is depicted in the graph below. The first quartile of the series in Q1, and the third quartile is Q3. Upper Quartile – Lower Quartile = Q3 – Q1 Interquartile range The interquartile range formula is shown below. ![]() The interquartile range is defined as the difference (substraction) between the upper and lower quartiles. Now, let’s discuss what interquartile range is in statistics. Where Xmax is the largest observation of the variable value and Xmin is the smallest observation. In other terms, the range is the difference between the distribution’s maximum and least observation. It is the difference between the distribution’s two extreme outcomes. The range is the shortest of all the measures of dispersion in statistics. The top 25% of numbers are in the fourth quartile. The lowest 25% of numbers are in the first quartile.īetween 25.1 percent and 50 percent in the second quartile (up to the median)ĥ0.1 percent to 75 percent in the third quartile (above the median) In general, the data is organized in the following order: smallest to largest: ![]() The smallest number up to Q1 is in the first category Q1 to the median is in the second category the median to Q3 is in the third category and Q3 to the highest data point in the total collection is in the fourth category.Įach quartile has a quarter of the total number of observations. The four groups generated by the quartiles can now be shown on a map. The upper or third quartile, abbreviated as Q3, is the midpoint of the distribution, located between the median and the highest number. The median is in the second quartile, Q2. The lower quartile, often known as the first quartile, is halfway between the dataset’s smallest value and the median. The values dividing a list of numerical data into three quarters are called quartiles. But before that, let’s start with an explanation of what quartiles are. ![]() This article highlights the definition, examples, and calculation of the interquartile range.
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