Question

for a continuous data distribution. 10-20 with frequency 3, 20-30 with frequency 5, 30-40 with frequency 7 and 40-50 with frequency 1, the value of quartile deviation is

Answer 1

The Quartile Deviation is a simple way to estimate the spread of a distribution about a measure of its central tendency (usually the mean). So, it gives you an idea about the range within which the central 50% of your sample data lies. Consequently, based on the quartile deviation, the Coefficient of Quartile Deviation can be defined, which makes it easy to compare the spread of two or more different distributions. Since both of these topics are based on the concept of quartiles, we’ll first understand how to calculate the quartiles of a dataset before working with the direct formulae.