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Coefficient of mean deviation about mean of the first 9 natural numbers is
- a)200/9
- b)80
- c)400/9
- d)50
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Coefficient of mean deviation about mean of the first 9 natural number...
1,2,3,4,5,6,7,8,9
Σx = 1+2+3+4+5+6+7+8+9 = 45
mean = 45/9 = 5
absolute deviations from the mean:
1-5, 2-5 ,... 9-5 in absolute value
4,3,2,1,0,1,2,3,4
add the absolute deviations and divide by 9
Absolute deviations from the mean = 20/9
divide by the mean = (20/9) / 5 = 20/45 = 4/9 = 0.4444
Most Upvoted Answer
Coefficient of mean deviation about mean of the first 9 natural number...
Coefficient of Mean Deviation:
The mean deviation is a measure of variability that represents the average absolute difference of each observation from the mean of the data set. The coefficient of mean deviation is the ratio of the mean deviation to the mean of the data set.
Formula:
Coefficient of Mean Deviation (CMD) = Mean Deviation / Mean
Finding Mean:
The first step is to find the mean of the first 9 natural numbers.
Mean = (1+2+3+4+5+6+7+8+9)/9
Mean = 5
Finding Deviations:
The next step is to find the deviations of each observation from the mean.
Deviations = |Observation - Mean|
Deviations = |1-5|, |2-5|, |3-5|, |4-5|, |5-5|, |6-5|, |7-5|, |8-5|, |9-5|
Deviations = 4, 3, 2, 1, 0, 1, 2, 3, 4
Finding Mean Deviation:
The mean deviation is the average of these deviations.
Mean Deviation = (4+3+2+1+0+1+2+3+4)/9
Mean Deviation = 2
Finding Coefficient of Mean Deviation:
The coefficient of mean deviation is the ratio of the mean deviation to the mean.
Coefficient of Mean Deviation (CMD) = Mean Deviation / Mean
CMD = 2/5
CMD = 400/9
Therefore, the correct option is C) 400/9.
The mean deviation is a measure of variability that represents the average absolute difference of each observation from the mean of the data set. The coefficient of mean deviation is the ratio of the mean deviation to the mean of the data set.
Formula:
Coefficient of Mean Deviation (CMD) = Mean Deviation / Mean
Finding Mean:
The first step is to find the mean of the first 9 natural numbers.
Mean = (1+2+3+4+5+6+7+8+9)/9
Mean = 5
Finding Deviations:
The next step is to find the deviations of each observation from the mean.
Deviations = |Observation - Mean|
Deviations = |1-5|, |2-5|, |3-5|, |4-5|, |5-5|, |6-5|, |7-5|, |8-5|, |9-5|
Deviations = 4, 3, 2, 1, 0, 1, 2, 3, 4
Finding Mean Deviation:
The mean deviation is the average of these deviations.
Mean Deviation = (4+3+2+1+0+1+2+3+4)/9
Mean Deviation = 2
Finding Coefficient of Mean Deviation:
The coefficient of mean deviation is the ratio of the mean deviation to the mean.
Coefficient of Mean Deviation (CMD) = Mean Deviation / Mean
CMD = 2/5
CMD = 400/9
Therefore, the correct option is C) 400/9.
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Community Answer
Coefficient of mean deviation about mean of the first 9 natural number...
C
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Coefficient of mean deviation about mean of the first 9 natural numbers isa)200/9b)80c)400/9d)50Correct answer is option 'C'. Can you explain this answer?
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Coefficient of mean deviation about mean of the first 9 natural numbers isa)200/9b)80c)400/9d)50Correct 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 Coefficient of mean deviation about mean of the first 9 natural numbers isa)200/9b)80c)400/9d)50Correct 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 Coefficient of mean deviation about mean of the first 9 natural numbers isa)200/9b)80c)400/9d)50Correct answer is option 'C'. Can you explain this answer?.
Coefficient of mean deviation about mean of the first 9 natural numbers isa)200/9b)80c)400/9d)50Correct 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 Coefficient of mean deviation about mean of the first 9 natural numbers isa)200/9b)80c)400/9d)50Correct 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 Coefficient of mean deviation about mean of the first 9 natural numbers isa)200/9b)80c)400/9d)50Correct answer is option 'C'. Can you explain this answer?.
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