Median for grouped data, Applied Statistics

Grouped Data 

In order to find the median, the median class is to be first located and then interpolation is to be used by assuming that items are evenly spaced over the entire class interval. The formula used for the calculation of median is

Median 1567_grouped data.png W + Lm

Where,      

         Lm     =       Lower limit of the median class

         fm      =       Frequency of the median class

         F       =       Cumulative frequency up to the lower limit of the median class

         W     =       Width of the class interval

         N       =       Total frequency.

Example 

Let us find median for the following data. 

Gross profit as a percentage of sales

0-10

10-20

20-30

30-40

40-50

No. of companies

21

32

43

34

23

Gross profit
 (%)

No. of Companies
 (f)

Cumulative Frequency
 (cf)

0-10

21

 21

10-20

32

 53

20-30

43

 96

30-40

34

130

40-50

23

153

 Here the total frequency N = 153. Median is the size of the 1504_grouped data1.pngth item, i.e.2102_grouped data2.pngth item, i.e. the size of the 77th item. It lies in the class 20-30. Hence 20-30 is the median class, of which the lower limit is 20.

Thus, Lm = 20, N = 153, F = 53, fm = 43, W =10

Median 

885_grouped data3.png

= 25.34

Thus 25.34 is the median gross profit percentage of the companies. 

Posted Date: 9/14/2012 2:05:46 AM | Location : United States







Related Discussions:- Median for grouped data, Assignment Help, Ask Question on Median for grouped data, Get Answer, Expert's Help, Median for grouped data Discussions

Write discussion on Median for grouped data
Your posts are moderated
Related Questions
Rank Correlation Sometimes the characteristics whose possible correlation is being investigated, cannot be measured but individuals can only be ranked on the basis of the chara

The decision maker ranks lotteries according to the utility function (i) State the independence assumption. Does this decision maker satisfy it? (ii) Is this decision ma

Geometric Mean is defined as the n th root of the product of numbers to be averaged. The geometric mean of numbers X 1 , X 2 , X 3 .....X n is given as

find the expected value of the mean square error and of the mean square reggression

Correspondence analysis is an exploratory technique used to analyze simple two-way and multi-way tables containing measures of correspondence between the rows and colulnns of an

Factor analysis (FA) explains variability among observed random variables in terms of fewer unobserved random variables called factors. The observed variables are expressed in

A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathemati

Waht is the product of £ x

Deviation Measures The drawback of the range as a measure of dispersion is that it takes into account the values of only two data points - the largest and the smallest. One

mark number of student 0-10 4 10-20 8 20-30 11 30-40 15 40-50 12 50-60 6 calculate frequency distribution