CA Foundation Exam > CA Foundation Questions > If sum of squares of the values = 3390, N = 3...
Start Learning for Free
If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.
- a)113
- b)210
- c)8
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If sum of squares of the values = 3390, N = 30 and standard deviation ...
Free Test
FREE
| Start Free Test |
Community Answer
If sum of squares of the values = 3390, N = 30 and standard deviation ...
Given:
Sum of squares of the values = 3390
N = 30
Standard deviation = 7
To find: Mean
Solution:
1. Formula for standard deviation
The formula for standard deviation is given by:
σ = √[Σ(x-μ)²/N]
where,
σ = standard deviation
Σ = sum of
x = data values
μ = mean
N = number of data values
2. Formula for sum of squares of the values
The formula for sum of squares of the values is given by:
Σx² = N(σ² + μ²)
where,
Σx² = sum of squares of the values
N = number of data values
σ = standard deviation
μ = mean
3. Substituting the given values
From the given information, we have:
Σx² = 3390
N = 30
σ = 7
Substituting these values in the formula for sum of squares of the values, we get:
3390 = 30(7² + μ²)
Simplifying this equation, we get:
3390 = 30(49 + μ²)
113 = 7² + μ²
μ² = 113 - 49
μ² = 64
μ = √64
μ = 8
Therefore, the mean is 8.
Hence, option (c) is the correct answer.
Sum of squares of the values = 3390
N = 30
Standard deviation = 7
To find: Mean
Solution:
1. Formula for standard deviation
The formula for standard deviation is given by:
σ = √[Σ(x-μ)²/N]
where,
σ = standard deviation
Σ = sum of
x = data values
μ = mean
N = number of data values
2. Formula for sum of squares of the values
The formula for sum of squares of the values is given by:
Σx² = N(σ² + μ²)
where,
Σx² = sum of squares of the values
N = number of data values
σ = standard deviation
μ = mean
3. Substituting the given values
From the given information, we have:
Σx² = 3390
N = 30
σ = 7
Substituting these values in the formula for sum of squares of the values, we get:
3390 = 30(7² + μ²)
Simplifying this equation, we get:
3390 = 30(49 + μ²)
113 = 7² + μ²
μ² = 113 - 49
μ² = 64
μ = √64
μ = 8
Therefore, the mean is 8.
Hence, option (c) is the correct answer.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If sum of squares of the values = 3390, N = 30 and standard deviation = 7, find out the mean.a)113b)210c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup