CA Foundation Exam > CA Foundation Questions > What is the value of mean deviation about mea...
Start Learning for Free
What is the value of mean deviation about mean for the following numbers?
5, 8, 6, 3, 4.
- a)5.20
- b)7.20
- c)1.44
- d)2.23
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the value of mean deviation about mean for the following numbe...
Mean Deviation about Mean:
Mean deviation about mean is a measure of variability that indicates the average difference between each data point and the mean of the dataset. It is calculated by taking the absolute value of the difference between each data point and the mean, adding them up, and dividing by the total number of data points.
Formula:
Mean deviation about mean = Σ | Xi - X̄ | / N
Where,
Xi = Data points
X̄ = Mean of the dataset
N = Total number of data points
Calculation:
Given dataset = 5, 8, 6, 3, 4
Step 1: Find the mean of the dataset
Mean (X̄) = (5 + 8 + 6 + 3 + 4) / 5
= 26 / 5
= 5.2
Step 2: Calculate the absolute deviation of each data point from the mean
|5 - 5.2| = 0.2
|8 - 5.2| = 2.8
|6 - 5.2| = 0.8
|3 - 5.2| = 2.2
|4 - 5.2| = 1.2
Step 3: Add up the absolute deviations and divide by the total number of data points
Mean deviation about mean = (0.2 + 2.8 + 0.8 + 2.2 + 1.2) / 5
= 7 / 5
= 1.4
Therefore, the value of mean deviation about mean for the given dataset is 1.44 (Option C).
Mean deviation about mean is a measure of variability that indicates the average difference between each data point and the mean of the dataset. It is calculated by taking the absolute value of the difference between each data point and the mean, adding them up, and dividing by the total number of data points.
Formula:
Mean deviation about mean = Σ | Xi - X̄ | / N
Where,
Xi = Data points
X̄ = Mean of the dataset
N = Total number of data points
Calculation:
Given dataset = 5, 8, 6, 3, 4
Step 1: Find the mean of the dataset
Mean (X̄) = (5 + 8 + 6 + 3 + 4) / 5
= 26 / 5
= 5.2
Step 2: Calculate the absolute deviation of each data point from the mean
|5 - 5.2| = 0.2
|8 - 5.2| = 2.8
|6 - 5.2| = 0.8
|3 - 5.2| = 2.2
|4 - 5.2| = 1.2
Step 3: Add up the absolute deviations and divide by the total number of data points
Mean deviation about mean = (0.2 + 2.8 + 0.8 + 2.2 + 1.2) / 5
= 7 / 5
= 1.4
Therefore, the value of mean deviation about mean for the given dataset is 1.44 (Option C).
Free Test
FREE
| Start Free Test |
Community Answer
What is the value of mean deviation about mean for the following numbe...
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer?
Question Description
What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer?.
What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer?.
Solutions for What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct 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 What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer?, a detailed solution for What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the value of mean deviation about mean for the following numbers?5, 8, 6, 3, 4.a)5.20b)7.20c)1.44d)2.23Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
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