Relative frequency definition, Mathematics

Assignment Help:

Relative Frequency 

This type of probability requires us to make some qualifications. We define probability of event A, occurring as the proportion of times A occurs, if we repeat the experiment several times under the same or similar conditions.

 

Example 

Consider the following distribution of salaries in a finance company for February, 2002.

Salaries (Rs.)

Frequency

Relative Frequency (%)


  2,000 -   5,000

 2

4%

  5,000 -   8,000

11

22%

  8,000 - 11,000

18

36%

11,000 - 14,000

10

20%

14,000 - 17,000

 7

14%

17,000 - 20,000

 2

4%

 

50

100%

For a subsequent month the salaries are likely to have the same distributions unless employees leave or have their salaries raised, or new people join. Hence we have the following probabilities obtained from the above relative frequencies.

Salaries (Rs.)

Probability

  2,000 -   5,000

4%

  5,000 -   8,000

22%

  8,000 - 11,000

36%

11,000 - 14,000

20%

14,000 - 17,000

14%

17,000 - 20,000

4%

 

100%

These probabilities give the chance that an employee chosen at random will be in a particular salary class. For example, the probability of an employee's salary being Rs.5,000 - Rs.8,000 is 22%.


Related Discussions:- Relative frequency definition

Evaluate the mean of temperatures, Evaluate the mean of temperatures: ...

Evaluate the mean of temperatures: Example: Given the subsequent temperature readings, 573, 573, 574, 574, 574, 574, 575, 575, 575, 575, 575, 576, 576, 576, 578 So

Measurement of the sampling distribution, Caterer determines that 87% of p...

Caterer determines that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. I

Frequency polygon, how to compute the frequncy polygon of the scores?

how to compute the frequncy polygon of the scores?

Describe the types of triangles, Describe the Types of triangles ? Tria...

Describe the Types of triangles ? Triangles can be classified according to the lengths of the sides or the measures of the angles. 1. Naming triangles by sides An

Levels of significance - rejection and acceptance regions, Levels of signif...

Levels of significance A level of significance is a probability value which is utilized when conducting tests of hypothesis. A level of significance is mostly the probability

The sum of two consecutive integers is 41 integer, The sum of two consecuti...

The sum of two consecutive integers is 41. What are the integers? Two consecutive integers are numbers in sequence like 4 and 5 or -30 and -29, that are each 1 number apart. Le

Explain lobachevskian geometry and riemannian geometry, Explain Lobachevski...

Explain Lobachevskian Geometry and Riemannian Geometry ? Nineteenth century mathematician Nicolai Lobachevsky assumed that the summit angles of a Saccheri quadrilateral are ac

What is the maximum number calories which consume from fats, Josephine is o...

Josephine is on an 1,800 calorie per day diet. She tries to remain her intake of fat to no more than 30% of her overall calories. Based on an 1,800 calorie a day diet, what is the

Undetermined coefficients, UNDETERMINED COEFFICIENTS The way of Undeter...

UNDETERMINED COEFFICIENTS The way of Undetermined Coefficients for systems is pretty much the same to the second order differential equation case. The simple difference is as t

Pre kg, my daughter in kg now how can i train her to develop skills in unde...

my daughter in kg now how can i train her to develop skills in undertanding the basics of all subjects how can i start teaching other than schol

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