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If mean deviation about Mean of a particular data consisting 10 observations is7, then what will be value of mean deviation when each is multiplied by 5?
- a)35
- b)45
- c)55
- d)65
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If mean deviation about Mean of a particular data consisting 10 observ...
Suppose original numbers were : x1 , x2, x3, ……, xn
Thus, (x1+x2+x3+…….+xn)/n=10 (by the very definition of mean
After adding 1 to each number, the sum would be : 5× (x1+x2+x3+…….+xn)+n
Thus new mean would be: (5×(x1+x2+x3+…….+xn)+n)/n=5×10+1=51
Thus, (x1+x2+x3+…….+xn)/n=10 (by the very definition of mean
After adding 1 to each number, the sum would be : 5× (x1+x2+x3+…….+xn)+n
Thus new mean would be: (5×(x1+x2+x3+…….+xn)+n)/n=5×10+1=51
Most Upvoted Answer
If mean deviation about Mean of a particular data consisting 10 observ...
A option because when change according to change in scale. so 7×5=35
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If mean deviation about Mean of a particular data consisting 10 observations is7, then what will be value of mean deviation when each is multiplied by 5?a)35b)45c)55d)65Correct answer is option 'A'. Can you explain this answer?
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