38 is replaced by 18 in a data of 10 numbers. How is the mean affected ?
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2
Answer:
Step-by-step explanation:sum of 3 numbers=29*3=87
sum of 2 numbers=38*2=76
3rd number=87-76=11
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Let initial mean = x1+x2+x3+38...+x10 ----- 1
10
new mean = x1+x2+x3+18...+x10 ------2
10
now 1-2 gives us:
--->initial mean-new mean= 20/10
---->initial mean - new mean= 2
----->so new mean = initial mean-2
Hence the new mean has decreased by 2.
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