CA CPT Exam > CA CPT Questions > the mean of the values of 1,2,3....n with res...
Start Learning for Free
the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is
? Related: Statistical Description of Data
Most Upvoted Answer
the mean of the values of 1,2,3....n with respective frequency x, 2x,3...
Understanding the Mean of Frequency Distribution
The mean of a frequency distribution is a crucial statistical measure that helps summarize a set of data, especially when different values have different frequencies. In this case, we have values from 1 to n with frequencies increasing in a linear pattern: x, 2x, 3x,..., nx.
Calculating the Mean
To find the mean, we use the formula for the weighted mean:
Where:
- f = frequency of each value
- x = corresponding value
Frequency and Values
Given the values and their respective frequencies:
Summation Components
1. **Total Frequency (Σf)**:
- Calculate the total frequency:
2. **Weighted Sum (Σ(f * x))**:
- Calculate the weighted sum:
Final Mean Formula
Substituting the summation results into the mean formula gives:
This result indicates that the mean of the frequency distribution is directly related to the maximum value n in the dataset. Understanding this relationship is vital in statistical data analysis.
The mean of a frequency distribution is a crucial statistical measure that helps summarize a set of data, especially when different values have different frequencies. In this case, we have values from 1 to n with frequencies increasing in a linear pattern: x, 2x, 3x,..., nx.
Calculating the Mean
To find the mean, we use the formula for the weighted mean:
- Mean (μ) = (Σ(f * x)) / Σf
Where:
- f = frequency of each value
- x = corresponding value
Frequency and Values
Given the values and their respective frequencies:
- Values: 1, 2, 3, ..., n
- Frequencies: x, 2x, 3x, ..., nx
Summation Components
1. **Total Frequency (Σf)**:
- Calculate the total frequency:
- Σf = x + 2x + 3x + ... + nx = x(1 + 2 + 3 + ... + n) = x(n(n + 1)/2)
2. **Weighted Sum (Σ(f * x))**:
- Calculate the weighted sum:
- Σ(f * x) = 1*x + 2*2x + 3*3x + ... + n*nx
- Σ(f * x) = x(1^2 + 2^2 + 3^2 + ... + n^2) = x(n(n + 1)(2n + 1)/6)
Final Mean Formula
Substituting the summation results into the mean formula gives:
- Mean (μ) = (x(n(n + 1)(2n + 1)/6)) / (x(n(n + 1)/2))
- Mean (μ) = (2n + 1) / 3
This result indicates that the mean of the frequency distribution is directly related to the maximum value n in the dataset. Understanding this relationship is vital in statistical data analysis.
Attention CA CPT Students!
To make sure you are not studying endlessly, EduRev has designed CA CPT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA CPT.
|
Explore Courses for CA CPT exam
|
|
Top Courses for CA CPTView all
the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data?
Question Description
the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? for CA CPT 2024 is part of CA CPT preparation. The Question and answers have been prepared according to the CA CPT exam syllabus. Information about the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? covers all topics & solutions for CA CPT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data?.
the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? for CA CPT 2024 is part of CA CPT preparation. The Question and answers have been prepared according to the CA CPT exam syllabus. Information about the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? covers all topics & solutions for CA CPT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data?.
Solutions for the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? in English & in Hindi are available as part of our courses for CA CPT.
Download more important topics, notes, lectures and mock test series for CA CPT Exam by signing up for free.
Here you can find the meaning of the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? defined & explained in the simplest way possible. Besides giving the explanation of
the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data?, a detailed solution for the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? has been provided alongside types of the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? theory, EduRev gives you an
ample number of questions to practice the mean of the values of 1,2,3....n with respective frequency x, 2x,3x...nx is Related: Statistical Description of Data? tests, examples and also practice CA CPT tests.
|
|
Explore Courses for CA CPT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup