the mean of 10 observation is 48 if each observation in the data is increased by10%what will be mean of dat)a
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Original mean =48
No.of observations=10
Let the terms be x₁,x₂,x₃......x₄₈
mean = sum of terms/no.of terms
48 = x₁+x₂+x₃+......+x₁₀/10
10*48=x₁+x₂+x₃+......+x₁₀
480=x₁+x₂+x₃+......+x₁₀
If each term is increased by 10%,the new terms will be:
1.1x₁,1.1x₂,1.1x₃,......1.1x₁₀
New mean=Sum of terms/no.of terms
=1.1x₁+1.1x₂+1.1x₃+......+1.1x₁₀/10
=(x₁+x₂+x₃+......+x₁₀)1.1*10/10
=480*1.1=528/10=52.8
New mean=52.8
No.of observations=10
Let the terms be x₁,x₂,x₃......x₄₈
mean = sum of terms/no.of terms
48 = x₁+x₂+x₃+......+x₁₀/10
10*48=x₁+x₂+x₃+......+x₁₀
480=x₁+x₂+x₃+......+x₁₀
If each term is increased by 10%,the new terms will be:
1.1x₁,1.1x₂,1.1x₃,......1.1x₁₀
New mean=Sum of terms/no.of terms
=1.1x₁+1.1x₂+1.1x₃+......+1.1x₁₀/10
=(x₁+x₂+x₃+......+x₁₀)1.1*10/10
=480*1.1=528/10=52.8
New mean=52.8
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