Median for ungrouped data, Applied Statistics

Assignment Help:

If the data set contains an odd number of items, the middle item of the array is the median. If there is an even number of items, the median is the average of the two items. If the total of the frequencies is odd, say n, the value of the (n+1)/2th  item gives the median and when the total of the frequencies is even, say, 2n, then nth and (n + 1)th are two central items and the arithmetic mean of these two items gives the median. 

Example 

The following data relates to the sales figures of certain companies relating to the year 2000-2001:

Companies

Sales


ACC

1520

Andhra Valley

436

Excel Inds

228

Indian Hotels

239

Tata Hydro

292

Tata Power

734

Tata Tea

412

Voltas

980

Tomco

312

Tinplate Co.

256                                          

The median for the above data can be obtained as follows:

The series should first be arranged in an appropriate order. In the present case it is in descending order.

Company

Sales

Rank


ACC

1520

1

Voltas

980

2

Tata Power

734

3

Andhra Valley

436

4

Tata Tea

412

5

Tomco

312

6

Tata Hydro

292

7

Tinplate Co.

256

8

Indian Hotels

239

9

Excel Inds

228

10                                                               

Now, median is the mean of the 5th and the 6th items, i.e.  (412 + 312)/2 = 362.

Thus, the median sales value of the ten companies is 362.


Related Discussions:- Median for ungrouped data

Data project, Dr. Jim Mirabella UNIT EIGHT: DATA ANALYSIS PROJECT All Excel...

Dr. Jim Mirabella UNIT EIGHT: DATA ANALYSIS PROJECT All Excel output should be copied into a single Word document where you must enter all of your responses to the questions below.

Predict higpa using a logistic regression, In this problem, we use the CSDA...

In this problem, we use the CSDATA data set, which is available in 'CSDATA.txt'. We do ne an indicator variable, say HIGPA, to be 1 if the GPA is 3.0 or better and 0 other- wise. S

Median for grouped data, Grouped Data  In order to find the median, the...

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

Cluster analysis, These techniques are applied when the rows and the column...

These techniques are applied when the rows and the columns of the data table represent the same units and when the measure is a disiance or a similarity. The goal of the analysis i

Techniques, Q. 1 a) Describe the important quantitative techniques used in ...

Q. 1 a) Describe the important quantitative techniques used in public system management. (10) b) Do you think the day will come when all decisions are made with the assistance of

Simple linear regression, We are interested in assessing the effects of tem...

We are interested in assessing the effects of temperature (low, medium, and high) and technical configuration on the amount of waste output for a manufacturing plant. Suppose that

#Probablility, #In planning the teaching assignments for next semester, Mr....

#In planning the teaching assignments for next semester, Mr. Hinton must have a teacher in each of the 7 grades during each of the 6 periods of the day. If he has 10 teachers to ch

Chi square test, who invented the chi square test and why? what is central ...

who invented the chi square test and why? what is central chi square and non central chi square test? what is distribution free statistics? what are the conditions when the chi squ

Regression model, Using a random sample of 670 individuals for the populati...

Using a random sample of 670 individuals for the population of people in the workforce in 1976, we want to estimate the impact of education on wages. Let wage denote hourly wage in

Schedule, Schedule Schedule is also used for the collection of primary ...

Schedule Schedule is also used for the collection of primary data. A schedule is a list of question. it is a device of obtaining answer to the questions in a form which is fill

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd