The important advantage of interquartile range is that it can be used as a measure of variability if the extreme values are not being recorded exactly (as in case of open-ended class intervals in the frequency distribution). methods and materials. Standard Deviation is also a measure of dispersion, but it uses the mean rather than median as its standard from which the average variation (or deviation) of all the other values are measured. All that we have to do is to subtract the first quartile from the third quartile. Most commonly called as average.The mean for a set of data values is the sum of all of the data values divided by the total number of data values. Press ESC to cancel. It is used to check the quality of a product for quality control. In a boxplot, the width of the box shows you the interquartile range. Introduction to Statistics is our premier online video course that teaches you all of the topics covered in introductory statistics. To look for an outlier, we must look below the first quartile or above the third quartile. If we replace the highest value of 9 with an extreme outlier of 100, then the standard deviation becomes 27.37 and the range is 98. It is affected by extreme values, but the advantage that it has over the interquartile range is that it uses all the observations in its computation. According to the IQRs, the temperatures in each city had the same amount of variability. The exclusive method excludes the median when identifying Q1 and Q3, while the inclusive method includes the median in identifying the quartiles. Merits and Demerits of Range. Since each of these halves have an odd number of values, there is only one value in the middle of each half. Find the quartiles of this data set: 6, 47, 49, 15, 43, 41, 7, 39, 43, 41, 36. What do you mean by range and its advantages? Data that is more than 1.5 times the value of the interquartile range beyond the quartiles are called outliers . quartiles The low outlier in the Paradise temperatures has a large impact on the range of that data set, while IQR is not impacted by the outlier. Please include what you were doing when this page came up and the Cloudflare Ray ID found at the bottom of this page. The main disadvantage in using interquartile range as a measure of dispersion is that it is not amenable to mathematical manipulation.

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