![]() ![]() This is found by dividing the data set into two equal parts. Find the median, the middle value, first. The number of data points = 7 (which is odd).First, arrange the data set in ascending order.This ensures that 75% of the observations are on the left of it and 25% of the observations are on the right.Ĭonsider the following data set: 4, 6, 1, 7, 9, 2, 3. Take the right part and find its median or the middle The median of the right part will be quartile 3. Median divides the data set into two equal parts – the left part and the right part. ![]() This ensures that 25% of the observations are on the left of it and 75% of the observations are on the right. Take the left part and find its median or the middle The median of the left part will be quartile 1. The number 5.5 basically divides the data set into two equal parts. Quartile 2, or the median, is the average of the two middle numbers 5 and 6 = 5.5. The median is the middle of the data set – a number that will ensure that 50% of the observations are on the left and 50% on the right. If the number of data points is even, then the median is the average of the two values in the middle.Ĭonsider the following data set: 5, 6, 8, 6, 7, 9, 1, 2, 4, 3. When the number of data points in the data set is odd, then quartile 2 or the median is the middle value, so that there is an equal number of data points on each side of the median. 75% of the data set is below quartile 3 and 25% of the data set is above quartile 3. 50% of the data set is below the median and 50% of the data set is above the median. 25% of the data set is below quartile 1 and 75% of the data set is above quartile 1. Each of the four parts contains 25% of the data. In a ranked data set, quartiles are the three values that divide the data set into four equal parts. Quartiles are a fairly simple concept in statistics. These concepts allow graphical representation of several probability distributions and also help create box and whisker plots, which are an effective way to represent and compare data. In this article, you will learn about some of the useful concepts in statistics like quartiles and the Interquartile Range (IQR).
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