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

Professional Counselor, A researcher hypothesized that the pulse rates of ...

A researcher hypothesized that the pulse rates of long-distance athletes differ from those of other athletes. He believed that the runners’ pulses would be slower. He obtained a ra

What is the probability that they all hit the target, QUESTION ONE. (a) ...

QUESTION ONE. (a) The probability that, a bomber hits a target on a bombing mission is 0.70 Three bombers are sent to bomb a particular target. (i) What is the probability

Eco203, Waht is the product of £ x

Waht is the product of £ x

Range, Range Official Exports Target 2000-2001 ...

Range Official Exports Target 2000-2001 Product ($ million) Plantation 500 Agriculture and Alli

Different analyses of recurrent events data, Different analyses of recurren...

Different analyses of recurrent events data: The bladder cancer data listed in Wei, Lin, and Weissfeld (1989) is used in Example 54.8/49.8 of SAS to  illustrate different anal

Probability, Ask queFrom these studies, which of the following may be consi...

Ask queFrom these studies, which of the following may be considered a variable that can have a probability distribution? [I] Percentage of Sub-Saharan Africans that smoke [II] Perc

Large sample test for proportion, Large Sample Test for Proportion A ra...

Large Sample Test for Proportion A random sample of size n (n > 30) has a sample proportion p of members possessing a certain attribute (success). To test the hypothesis that t

Assumptions in regression, Assumptions in Regression To understand the...

Assumptions in Regression To understand the properties underlying the regression line, let us go back to the example of model exam and main exam. Now we can find an estimate o

Regression, Regression line drawn as Y=C+1075x, when x was 2, and y was 239...

Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

The weekly treatment , A researcher is interested in comparing the effectiv...

A researcher is interested in comparing the effectiveness of three different parts of therapy for anger problems. 8 participants are randomly assigned to 3 treatment conditions: Co

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