What is merits and demerits of quartile deviation?

Merits and Demerits of Quartile Deviation (1) It is easy to calculate and simple to follow. (2) It is not affected by the extreme values and is, therefore, useful in skewed distributions. (3) It is the only method of dispersion applicable in case of open-end classes.

What are the merit of quartile deviation?

It is rigidly defined. It is superior to range in as much as its calculation is based on middle 50% of the items of a series. It is easy to calculate, and especially in case of an open end series, no 50% of the items of a series.

What are the merits and demerits of deviation?

It is easy to calculate. It is based on all the observations of a series. It shown the dispersion, or scatter of the various items of a series from its central value. It is not very much affected by the values of extreme items of a series.

What are the limitations of quartile deviation?

Limitations: (i) Quartile deviation ignores 50% items, i.e., the first 25% and the last 25%. As the value of quartile deviation does not depend upon every item of the series it cannot be regarded as good method of measuring dispersion. (ii) It is not capable of mathematical manipulation.

What is quartile deviation?

The Quartile Deviation (QD) is the product of half of the difference between the upper and. lower quartiles. Mathematically we can define as: Quartile Deviation = (Q3 – Q1) / 2. Quartile Deviation defines the absolute measure of dispersion.

How many items are ignored by quartile deviation?

Quartile deviation ignores 50% of the items, i.e., the first 25% and the last 25%. Since the value of quartile deviation does not depend on each item of the chain, it can not be considered as a good method of measuring dispersion.

What are the demerits of standard deviation?

Demerits

Its calculation is difficult as it involves many mathematical models and processes.
It is affected very much by the extreme values of a series in as much as the squares of deviations of big items proportionately bigger than the squares of the smaller items.

What is mean deviation and its merits?

Mean deviation is a measure that removes several shortcomings of other measures i.e. it does not ignore extreme terms or values which play a significant role in average or Mean. According to some Economists, Mean Deviation is very useful for the forecasting of Business Cycles.

What are the merits and demerits of range?

Merits and Demerits of Range

It is easiest to calculate and simplest to understand even for a beginner.
It is one of those measures which are rigidity defined.
It gives us the total picture of the problem even with a single glance.
It is used to check the quality of a product for quality control.

What is quartile deviation and its types?

Why do we use quartiles?

Quartiles let us quickly divide a set of data into four groups, making it easy to see which of the four groups a particular data point is in. For example, a professor has graded an exam from 0-100 points. The middle 50% of the data can useful to know about, especially if the data set has outliers.

How do you interpret quartile deviation?

The Quartile Deviation can be defined mathematically as half of the difference between the upper and lower quartile. Here, quartile deviation can be represented as QD; Q3 denotes the upper quartile and Q1 indicates the lower quartile. Quartile Deviation is also known as the Semi Interquartile range.

What is merits and demerits of quartile deviation?