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If there are 3 observations 15, 20, 25 then the sum of deviation of the observations from their A.M. is
- a)0
- b)5
- c)–5
- d)None of these.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If there are 3 observations 15, 20, 25 then the sum of deviation of th...
Mean of 15,20,25 = 15+20+25/3 = 20.therefore,15-20 = -5,20-20=0 and 25-20= 5.sum of deviation of the observation from their mean is 20-20 = 0.
Most Upvoted Answer
If there are 3 observations 15, 20, 25 then the sum of deviation of th...
Solution:
Given, observations are 15, 20 and 25.
Step 1: Calculate the Arithmetic Mean(A.M.) of the given observations.
A.M. = (15+20+25)/3 = 20
Step 2: Calculate the deviation of each observation from the A.M.
Deviation of 15 = 15 - 20 = -5
Deviation of 20 = 20 - 20 = 0
Deviation of 25 = 25 - 20 = 5
Step 3: Calculate the sum of deviations
Sum of deviations = -5+0+5 = 0
Step 4: Conclusion
Since the sum of deviations is equal to zero, the correct option is A) 0.
Hence, the sum of deviation of the observations from their A.M. is 0.
Given, observations are 15, 20 and 25.
Step 1: Calculate the Arithmetic Mean(A.M.) of the given observations.
A.M. = (15+20+25)/3 = 20
Step 2: Calculate the deviation of each observation from the A.M.
Deviation of 15 = 15 - 20 = -5
Deviation of 20 = 20 - 20 = 0
Deviation of 25 = 25 - 20 = 5
Step 3: Calculate the sum of deviations
Sum of deviations = -5+0+5 = 0
Step 4: Conclusion
Since the sum of deviations is equal to zero, the correct option is A) 0.
Hence, the sum of deviation of the observations from their A.M. is 0.
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If there are 3 observations 15, 20, 25 then the sum of deviation of the observations from their A.M. isa)0b)5c)–5d)None of these.Correct answer is option 'A'. Can you explain this answer?
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