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

Econometrics, The following data on calcium content of wheat are consistent...

The following data on calcium content of wheat are consistent with summary quantities that appeared in the article “Mineral Contents of Cereal Grains as Affected by Storage and Ins

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

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

Finding the z-score, 10. If a set of scores has a sample mean of 25 and a s...

10. If a set of scores has a sample mean of 25 and a sample variance of 4, find the following: a. the z-score for a raw score of 31 b. the z-score for a raw score of 18 c. the raw

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

Accident proneness, Accident proneness  A personal psychological issue w...

Accident proneness  A personal psychological issue which affects the individual's probability of suffering the accident. The concept has been studied statistically under the num

Quantitative Models, Consider the following new business venture. An agent ...

Consider the following new business venture. An agent is considering investment in one of three real estate parcels: • Option 1: multiunit rentals • Option 2: commercial building

Probability, HOW WOULD YOU INTERPRET THIS PROBABILITY:P(a)=1.05

HOW WOULD YOU INTERPRET THIS PROBABILITY:P(a)=1.05

Production took place, Scenario: To fundraise for middle school camp the ye...

Scenario: To fundraise for middle school camp the year 3 and 4 syndicate designed and produced chocolate treats to sell to the year 1 and 2, and year 5 and 6 students at morning te

Probability, .1 Modern hotels and certain establishments make use of an ele...

.1 Modern hotels and certain establishments make use of an electronic door lock system. To open a door an electronic card is inserted into a slot. A green light indicates that the

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