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Tuesday, November 21, 2023

Procedure for Determining Median | Merits of Median | Demerits of Median | Educational Statistics | 8614 |

 

QUESTION

How do we calculate the median? Also, mention its merits and demerits.
CourseEducational Statistics

Course code 8614

Level: B.Ed Solved Assignment 

ANSWER

Median

The median is the middle value of rank order data. It divides the distribution into two halves (i.e. 50% of scores or observations on either side of the median value). It means that this value separates the higher half of the data set from the lower half. The goal of the median is to determine the precise midpoint of the distribution. The median is appropriate for describing ordinal data.

Procedure for Determining Median

When the number of scores is odd, simply arrange the scores in order (from lower to higher or from higher to lower). The median will be the middle score in the list. Consider the set of scores 2, 5, 7, 10, 12. The score “7” lies in the middle of the scores, so it is the median. When there is an even number of scores in the distribution, arrange the scores in order (from lower to higher or from higher to lower). The median will be the average of the middle two scores in the list. Consider the set of scores 4, 6, 9, 14 16, 20. The average of the middle two scores 11.5 (i.e. 9+14/2 = 23/2 = 11.5) is the median of the distribution.

The median is less affected by outliers and skewed data and is usually the preferred measure of central tendency when the distribution is not symmetrical. The median cannot be determined for categorical or nominal data.

Merits of Median

i)  It is rigidly defined.

ii)  It is easy to understand and calculate.

iii)  It is not affected by extreme values.

iv)  Even if the extreme values are not known median can be calculated.

v)  It can be located just by inspection in many cases.

vi)  It can be located graphically.

vii)  It is not much affected by sampling fluctuations.

viii)  It can be calculated by data based on an ordinal scale.

ix)  It is suitable for skewed distribution.

x)  It is easily located in individual and discrete classes.

Demerits of Median

i)  It is not based on all values of the given data.

ii)  For larger data sizes the arrangement of the data in increasing order is

a somewhat difficult process.

iii)  It is not capable of further mathematical treatment.

iv)  It is not sensitive to some change in the data value.

v)  It cannot be used for further mathematical processing.


Related Topics

ANOVA and its Logics

Median (Procedure of Determination, Merits, Demerits)

Measures of Dispersion

Descriptive and Inferential Statistics

What is data Cleaning? Importance and Benefits of Data Cleaning 

Explain the terms Degree of Freedom,Spread of Score,Sample,Z Score,Confidence Interval 

What is measure of difference? Explain different types of test

Concept of Reliability, Types and methods of Reliability

Level of Measurement

Types of Variable in Stats 

Measures of Central Tedency and Dispersion, 

Role of Normal Distribution, and also note on Skewness and Kurtosis. 

Methods of Effective Presentation

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